it takes 475 j of work to compress a spring 12 cm. what is the force constant of the spring (in kn/m)?

The formula for calculating capacitance is as follows:

C = Q/V

Where,

C = capacitance (Farads)

Q = charge (Coulombs)

V = voltage (Volts)

As given,

Q = 27.0 μC

V = 9.00 V

Substituting the given values in the above equation

C = 27.0 μC/9.00 V = 3.00 μF

Therefore, the value of capacitance is 3.00 μF.

The formula for calculating charge stored is as follows:

Q = CV

Where,

Q = charge (Coulombs)

C = capacitance (Farads)

V = voltage (Volts)

As given,

C = 3.00 μF

V = 12.0 V

Substituting the given values in the above equation,

Q = (3.00 × 10⁻⁶ F) × 12.0 V = 36.0 μC

Therefore, the charge stored is 36.0 μC.

Learn more about  the charge stored at https://brainly.com/question/27393410

#SPJ11

The true statements about the radial (centripetal) acceleration and the tangential acceleration at the end of the blade are: the radial acceleration is non-zero the tangential acceleration is zero

The radial acceleration is non-zero and the tangential acceleration is zero. This is because, the radial acceleration is determined by the formula, ar = (v²)/r

where ar is the radial acceleration, v is the velocity and r is the radius. Thus, since the propeller blade is spinning at a constant rate, the velocity v is constant.

Therefore, the radial acceleration is constant and non-zero.

The tangential acceleration, on the other hand, is given by at = rα

where at is the tangential acceleration and α is the angular acceleration. Since the blade is spinning at a constant rate, the angular acceleration is zero. Therefore, the tangential acceleration is zero.

So, the correct option is the radial acceleration is non-zero and the tangential acceleration is zero.

Learn more about tangential acceleration at https://brainly.com/question/11476496

#SPJ11

The tension in the string of a 1.85 kg package held by a light vertical string will depend on the acceleration of the elevator. When the elevator accelerates, the force of acceleration on the package will be equal and opposite to the tension in the string, causing the tension to increase.

The equation for tension in a string is:

Tension = Mass x Acceleration

Therefore, in this case, the tension in the string is equal to 1.85 kg x Acceleration.

If we assume that the acceleration of the elevator is a constant rate, then the tension in the string can be calculated by multiplying the mass of the package by the acceleration of the elevator.

To sum up, the tension in the string of a 1.85 kg package held by a light vertical string will depend on the acceleration of the elevator. If the acceleration of the elevator is a constant rate, then the tension in the string can be calculated by multiplying the mass of the package by the acceleration of the elevator.

For more such questions on Tension.

https://brainly.com/question/13397436#

#SPJ11

The average force on the person if they are stopped by an airbag that compresses an average of 15.0 cm is approximately 70,000 N.

To calculate the average force on a person,

Average force = (change in momentum) / (time interval)

Assuming that the person's initial velocity is constant, we can simplify the formula to,

Average force = (mass of the person) x (change in velocity) / (time interval)

Now, let's consider the two scenarios,

Stopped by a padded dashboard that compresses an average of 1.00 cm:

Assuming the person's initial velocity is known and constant, we need to know the time interval it takes for the person to stop after hitting the dashboard. Without this information, we cannot calculate the average force.

Stopped by an airbag that compresses an average of 15.0 cm:

The time interval for an airbag to deploy and cushion the person's impact is typically very short (about 0.03 seconds), so we can assume that the time interval is negligible in this case. Therefore, we can use the simplified formula above.

Let's assume the mass of the person is 70 kg and their initial velocity is 30 m/s. The change in velocity is the final velocity (0 m/s) minus the initial velocity (30 m/s), which is -30 m/s. The negative sign indicates that the person's velocity is decreasing.

Using the formula,

Average force = (mass of the person) x (change in velocity) / (time interval)

= (70 kg) x (-30 m/s) / (0.03 s)

= -70,000 N

To know more about average force, here

brainly.com/question/29754124

#SPJ4

A  system releases 690 kj of heat and does 110 kj of work on the surroundings then part a what i the change in internal energy of the system  -800 kJ.

The change in internal energy of the system can be calculated using the formula

ΔU = Q - W,

where ΔU is the change in internal energy, Q is the heat exchanged, and W is the work done.

In this case, the system releases 690 kJ of heat (Q = -690 kJ) and does 110 kJ of work on the surroundings (W = 110 kJ).

So, ΔU = -690 kJ - 110 kJ = -800 kJ.

The change in internal energy of the system is -800 kJ.

Know more about   internal energy   here:

https://brainly.com/question/30207866

#SPJ11

The net force on a 30.0 nc charge located at the origin by two other charges is the vector sum of the forces exerted by the two other charges. The force exerted by the first charge, -50.0 nC located at (-5.0 m, 2.0 m), is given by:

F1 = (k*q1*q2)/r2, where

Therefore,

F1 = (8.99 x 109 N m2/C2)*(-50.0 nc)*(30.0 nc)/(5.3852) = 2.38 x 10-2 N

Similarly, the force exerted by the second charge, 40.0 nc located at (3.0 m, 1.0 m), is given by:

F2 = (k*q1*q2)/r2, where

Therefore,

F2 = (8.99 x 109 N m2/C2)*(40.0 nc)*(30.0 nc)/(3.1622) = 4.58 x 10-2 N

The net force is the vector sum of F1 and F2 and can be calculated as follows:

F net = F1 + F2 = 2.38 x 10-2 N + 4.58 x 10-2 N = 7.00 x 10-2 N

Therefore, the net force on a 30.0 nc charge located at the origin by two other charges is 7.00 x 10-2 N.

To know more about Force refer here:

https://brainly.com/question/13191643#

#SPJ11

For a spherical capacitor with a capacitance of 125 and a vacuum between its conducting shells, the outer radius of the inner shell is around 5.60 cm.

The capacitance of a spherical capacitor is given by:

C = 4πε₀[(r₁r₂)/(r₂-r₁)]

where C is the capacitance, ε₀ is the electric constant (8.85 x [tex]10^{-12}[/tex] F/m), r₁ is the radius of the inner shell, and r₂ is the radius of the outer shell.

In this case, we know that the capacitance C = 125 pF (picoFarads), r₂ = 9.00 cm, and we want to find r₁.

We can rearrange the equation to solve for r₁:

r₁ = (C × r₂)/(4πε₀ + C)

Substituting the values:

r₁ = (125 x [tex]10^{-12}[/tex] F × 0.09 m) / (4π × 8.85 x [tex]10^{-12}[/tex] F/m + 125 x [tex]10^{-12}[/tex] F)

r₁ ≈ 5.60 cm

Therefore, the outer radius of the inner shell is approximately 5.60 cm.

To learn more about the capacitor at

https://brainly.com/question/17176550

#SPJ4

The process described in the question is known as scenario planning. It is a strategic planning method that involves generating multiple plausible scenarios of future conditions and analyzing the potential impact of each scenario on an organization or a system.

Scenario planning is a useful tool for decision-making, risk management, and identifying opportunities in an uncertain or rapidly changing environment.

By developing a range of scenarios, decision-makers can anticipate potential challenges and opportunities and develop strategies to respond effectively to each situation.

This approach allows organizations to be better prepared and more resilient in the face of future uncertainties. Scenario planning can be applied to various fields, including business, economics, environmental planning, and public policy.

For more details about strategic click here:

https://brainly.com/question/16699515#
#SPJ11

However, in general, acid rain is formed when sulphur dioxide (SO2) and nitrogen oxides (NOx) are emitted into the atmosphere by human activities, such as burning fossil fuels.

The erroneous statement among the following is : Acid rain is largely because to oxides of nitrogen and sulphur The greenhouse effect is to blame for the world's warming. Infrared radiation from the sun cannot reach earth due to the ozone layer.

Nitric and sulphuric acids are created when the gases nitrogen oxides and sulphur dioxide interact with the minute droplets of water in clouds. The rain from these clouds falls as very weak acid known as 'Acid rain'.

To know more about radiation visit:-

https://brainly.com/question/28202771

#SPJ1

Question:

"Which two of the following statements are true about the chemical reaction that forms acid rain?

a. Sulfur dioxide and nitrogen oxides react with water to form sulfuric acid and nitric acid.

b. Acid rain can cause damage to buildings and statues made of limestone or marble.

c. Acid rain is only a problem in areas with a high population density.

d. Acid rain has no effect on freshwater ecosystems."

The minimum thickness of the film for constructive interference of reflected light would be t = 3*600/(2*1.4) = 850 nm.

The minimum thickness of a film required for constructive interference of reflected light can be calculated using the formula t = m*λ/(2*n),

where t is the minimum thickness of the film, m is the order of interference, λ is the wavelength of the light, and n is the index of refraction of the film.

For example, if the order of interference is 3, the wavelength of the light is 600 nm, and the index of refraction is 1.4,

the minimum thickness of the film for constructive interference of reflected light would be t = 3*600/(2*1.4) = 850 nm.

Constructive interference of reflected light occurs when the phase difference between the two waves is equal to an integral multiple of 2π.

This can be determined using the formula Δφ = (2π*m)/(λ*n), where Δφ is the phase difference, m is the order of interference, λ is the wavelength of the light, and n is the index of refraction of the film.

To achieve constructive interference, the minimum thickness of the film can be determined by ensuring that the phase difference is equal to an integral multiple of 2π.

The minimum thickness of a film required for constructive interference of reflected light can be calculated using the formula t = m*λ/(2*n),

where t is the minimum thickness of the film, m is the order of interference, λ is the wavelength of the light, and n is the index of refraction of the film.

Constructive interference can be achieved by ensuring that the phase difference between the two waves is equal to an integral multiple of 2π.

to know more about light refer here:

https://brainly.com/question/15200315#

#SPJ11

In an n-type piece of silicon, the electric field causes the electrons to accelerate due to the attractive force between the negatively charged electrons and the positively charged electric field. This acceleration causes the electrons to reach a velocity of V = E/μ, where E is the electric field (0.1V/m) and μ is the mobility of electrons in silicon (1350 cm2/V⋅s). Therefore, the velocity of electrons in this material would be equal to 0.1V/m/1350cm2/V⋅s = 0.0741 cm/s.

The holes, on the other hand, experience a repulsive force due to the positive electric field. This causes the holes to decelerate, with a velocity of V = -E/μ. Therefore, the velocity of holes in this material would be equal to -0.1V/m/1350cm2/V⋅s = -0.0741 cm/s.

Know more about  electric field here:

https://brainly.com/question/8971780

#SPJ11

The formula for the impulse exerted on the ball from the instant it is dropped to an arbitrary time later is:

Impulse = (Final momentum - Initial momentum)

Impulse is a vector quantity having both magnitude and direction, whereas momentum is a vector quantity, but the impulse is not equal to momentum. The impulse is the change in momentum.

If a ball of mass m is dropped from rest, then its initial momentum is zero.

The final momentum of the ball after falling for time t is:

Final momentum = mv

Where v is the velocity of the ball after falling for time t.

Therefore, the impulse exerted on the ball from the instant it is dropped to an arbitrary time later is:

Impulse = (mv - 0) = mv

To know more about impulse:

https://brainly.com/question/14073258

#SPJ11

Answer: the answer given below

(a) Explanation: The impulse on an object is given by the change in momentum of the object. Before the collision, the bullet has momentum p1 = mv0 and the brick has momentum p2 = 0, since it is stationary. After the collision, the combined bullet-brick system has momentum p3.

Conservation of momentum requires that the total momentum before the collision is equal to the total momentum after the collision:

p1 + p2 = p3

mv0 + 0 = (m + M)V

where V is the velocity of the combined bullet-brick system after the collision. Solving for V, we get:

V = (mv0) / (m + M)

The impulse on the bullet during the collision is equal to the change in momentum of the bullet:

J_bullet = p3 - p1 = (m + M)V - mv0

Substituting the expression for V we found earlier:

J_bullet = (m + M)(mv0) / (m + M) - mv0 = 0

Therefore, the impulse on the bullet is zero during the collision.

On the other hand, the impulse on the brick during the collision is:

J_brick = p3 - p2 = (m + M)V - 0 = (m + M)(mv0) / (m + M) = mv0

Therefore, the magnitude of the impulse acting on the brick is equal to the initial momentum of the bullet, mv0, and it is in the same direction as the initial velocity of the bullet.

In summary, during the collision of the bullet and the brick, the impulse acting on the bullet is zero, while the impulse acting on the brick is mv0 in the direction of the initial velocity of the bullet.

(b) We can use the principle of conservation of momentum to solve for the velocity of the brick-bullet combination just after the collision. The total momentum of the system (bullet, brick, and Earth) is conserved before and after the collision. Initially, only the bullet has momentum, which is given by p1 = m*v0, and the momentum of the brick and Earth is zero. After the collision, the bullet becomes embedded in the brick, and the combined system of the brick-bullet has momentum p2. Since the momentum of the Earth is negligible compared to that of the bullet and brick, we can treat the system as closed and apply conservation of momentum:

p1 = p2

m*v0 = (M + m)*v

where v is the velocity of the combined system just after the collision.

Solving for v, we get:

v = (m*v0) / (M + m)

Therefore, the magnitude of the velocity of the brick-bullet combination just after the collision is:

|v| = |(m*v0) / (M + m)|

The direction of the velocity is upward, as the system swings up after the collision due to the conservation of momentum.

(c) The initial kinetic energy of the system is the kinetic energy of the bullet just before the collision, which is given by:

KE1 = (1/2)mv0^2

The final kinetic energy of the system is the kinetic energy of the combined brick-bullet system just after the collision, which is given by:

KE2 = (1/2)*(M + m)*v^2

Substituting the expression we found for v:

KE2 = (1/2)(M + m)[(mv0) / (M + m)]^2

KE2 = (1/2)(m*v0^2) / (1 + M/m)

The ratio of the final kinetic energy to the initial kinetic energy is:

KE2 / KE1 = [(1/2)(mv0^2) / (1 + M/m)] / [(1/2)mv0^2]

KE2 / KE1 = 1 / (1 + M/m)

Therefore, the ratio of the final kinetic energy of the brick-bullet combination immediately after the collision to the initial kinetic energy of the brick-bullet combination is:

KE2 / KE1 = 1 / (1 + M/m)

(d)To determine the maximum vertical position reached by the brick-bullet combination, we can use conservation of energy, assuming there is no energy loss due to friction or other dissipative forces. At the maximum height, the kinetic energy of the system is zero, and all the initial kinetic energy has been converted to potential energy due to the height above the initial position.

The initial total energy of the system is the sum of the initial kinetic energy of the bullet and the gravitational potential energy of the brick:

E1 = (1/2)mv0^2 + Mgh1

where h1 is the initial height of the brick above the ground, and g is the acceleration due to gravity.

At the maximum height, the final total energy of the system is the potential energy due to the height above the ground:

E2 = (M + m)gh2

where h2 is the maximum height reached by the brick-bullet combination above the initial position.

Since there is no energy loss, we can set the initial energy equal to the final energy:

E1 = E2

Substituting the expressions for E1 and E2 and solving for h2, we get:

(M + m)gh2 = (1/2)mv0^2 + Mgh1

h2 = [(1/2)mv0^2 + Mgh1] / [(M + m)*g]

Simplifying, we get:

h2 = (1/2)v0^2 / g + h1(M/m) / (1 + M/m)

Therefore, the maximum vertical position above the initial position reached by the brick-bullet combination is:

h2 = (1/2)v0^2 / g + h1(M/m) / (1 + M/m)

Hope this helps :)

A brick is falling from the roof of three story building then free-body diagram would show only one force vector, which is the force of gravity acting on the brick.

A free-body diagram is used to graphically represent the forces acting on an object. It shows all of the forces acting on an object and can be used to analyze the motion of an object.

A free-body diagram for a falling brick would include two force vectors: Gravity or Weight.

So, in this scenario, the free-body diagram would show only one force vector, which is the force of gravity acting on the brick.

To lean more about the 'force vectors':

https://brainly.com/question/30893090

#SPJ11

The television commercial loudness increases by 10 decibels.

The decibel (dB) scale is a logarithmic measure of sound intensity. The intensity of a sound is measured in watts per square meter and the decibel scale is a way to express the relative loudness of a sound, compared to a reference level.

A 10 dB increase in intensity is a 10-fold increase in sound power. This means that a sound with an intensity of 10 watts per square meter is 10 times louder than a sound with an intensity of 1 watt per square meter.

Learn more about Intensity of sound here:

https://brainly.com/question/17062836

#SPJ1

1 - Since electrοns can be transferred frοm οur hair tο the ballοοn , electrοns cannοt be transferred frοm ballοοn tο οur hair because. This is an illustratiοn οf  charging by cοnductiοn.

2 - Since the rubber οn the ballοοn is significantly less cοnductive than the hair, electrοns will nοt easily escape the ballοοn because οf this.

3 - Neutrοns are electrically neutral , neutrοns dοesn't participate in this prοcess.

A charged οbject must cοme intο cοntact with a neutral οbject tο cοnduct electricity. As a result, when twο charged cοnductοrs cοme intο cοntact, the charge is split between the twο cοnductοrs, charging the uncharged cοnductοr.

When twο neutral οbjects are rubbed against οne anοther, electrοns are transferred. The οbject that has a strοnger affinity fοr electrοns will take electrοns frοm the οther οbject, and the twο becοme charged in οppοsitiοn. In this instance, the electrοns frοm the hair are taken up by the ballοοn , which nοw has an excess οf electrοns and a negative charge cοmpared tο the hair's current electrοn shοrtage and pοsitive charge.

2- Since the rubber οn the ballοοn is significantly less cοnductive than the hair, electrοns will nοt easily escape the ballοοn because οf this.

3- Neutrοns are electrically neutral , neutrοns dοesn't participate in this prοcess.

4-Insulating materials may becοme electrically charged when they cοme intο cοntact with οne anοther. Negatively charged electrοns can "rub οff" οne material and "rub οn" tο anοther. After bοth things have the same quantity οf οppοsite charges, the substance that gets electrοns becοmes negatively charged, and the material that lοses electrοns becοmes pοsitively charged.

To know more about charging by conduction , visit;

brainly.com/question/10254645

#SPJ1

When a resistor and a capacitor are connected in series across an ideal battery, the voltage across the capacitor is zero at the moment contact is made with the battery.

The correct option is c.

An ideal battery is a voltage source that delivers a constant voltage regardless of the load resistance or current drawn from it.

An ideal battery can maintain a steady voltage regardless of the amount of current being drawn from it.

In real-life batteries, there is always some internal resistance, which causes the voltage to drop as the current increases.

A resistor is an electrical component that opposes or limits the flow of electrical current. It has two terminals and can be made of various materials like carbon, metal, and ceramic. It is used in various applications, including voltage dividers, current limiting, and biasing.

A capacitor is an electronic component that stores energy in an electric field between two charged conductors. It has two terminals and is made of two conducting plates separated by an insulating material called a dielectric.

Capacitors are used in various applications, including energy storage, timing circuits, and power conditioning.

To Learn more :

https://brainly.com/question/17134302

#SPJ11

This principle can be observed in other everyday scenarios, such as jumping on a trampoline or the recoil of a gun after firing.  Newton's Third Law of Motion is a fundamental principle in classical mechanics and explains why the spring will bounce when the weight is released.

The bouncing of the weight when released is explained by Newton's Third Law of Motion, which states that for every action there is an equal and opposite reaction. When the weight is released, the spring exerts an equal and opposite force on the weight, propelling it upwards and causing it to bounce. This is because when the weight is pulled down, it compresses the spring, storing potential energy. When the weight is released, the spring decompresses and the potential energy is released, propelling the weight in the opposite direction.

To learn more about Newton's Third Law ;

https://brainly.com/question/25998091

#SPJ11

The time it takes the object to fall through the change in speed using the impulse-momentum theorem is 0.62 seconds.

The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse exerted on it.

To calculate the time it takes the object to increase it speed using the  impulse-momentum theorem, we use the formula below.

Formula:

Recall that F/m = acceleration. Therefore,

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for t

Hence, the time it takes the object to fall is 0.62 seconds.

Learn more about impulse-momentum theorem here: https://brainly.com/question/14121529

#SPJ1

The projectile will be moving at a speed of 57.21 m/s when it reaches the top of its trajectory.

When a projectile is fired at a speed of 138 and an upward angle of 65 degrees, the speed at the top of the trajectory can be calculated. To solve this problem, you need to understand some basic physics concepts. Here's how you can solve this problem:
1. First, identify the given values and write them down:
Initial velocity (u) = 138 m/s
Angle of projection (θ) = 65 degrees
Acceleration due to gravity (g) = 9.81 m/s²
2. Now, break down the initial velocity into its horizontal and vertical components:
Initial velocity in the horizontal direction = u cos θ
Initial velocity in the vertical direction = u sin θ
3. Use the equation of motion to calculate the time taken by the projectile to reach the top of its trajectory:
u sin θ = gt/2
t = 2u sin θ/g
4. Use the time obtained in step 3 to calculate the velocity at the top of the trajectory:
v = u cos θ
Where,
v = final velocity
u = initial velocity
θ = angle of projection
5. Substitute the given values in the equation to get the final answer:
v = u cos θ
v = 138 cos 65
v = 57.21 m/s
for such more question on projectile

https://brainly.com/question/24216590

#SPJ11

The equivalent capacitance of a 6 mF capacitor, a 10 mF capacitor, and a 16 mF capacitor connected in parallel is: 32 mF

This is because when capacitors are connected in parallel, their total capacitance is equal to the sum of their individual capacitances. The formula for calculating the equivalent capacitance (C) of capacitors connected in parallel is: C = C1 + C2 + C3 + ... In this example, C = 6 mF + 10 mF + 16 mF = 32 mF.

Capacitors are electrical components that store energy in the form of an electric field between two conductors (plates). When capacitors are connected in parallel, the electric field between the plates of each capacitor is the same, but the overall capacitance is increased due to the combined plate area of all the capacitors.

This increase in plate area is why the equivalent capacitance of the three capacitors in this example is 32 mF, which is larger than any of the individual capacitances.

To know more about capacitors refer here:

https://brainly.com/question/17176550#

#SPJ11

Explanation:

Speed of sound is 344

The frequency corresponding to the lower cut-off point is the lowest frequency which his 15Hz

F=15Hz

The relationship between the wavelength, speed and frequency is given as

v=fλ

Then,

λ=v/f

λ=v/f

λ=344/15

λ=22.93m

The magnitude of the torque on the current loop is calculated using the formula τ=BIA sinθ, where B is the magnitude of the magnetic field, I is the current, A is the area of the loop, and θ is the angle between the magnetic field and the loop's plane. In this case, the magnitude of the torque is τ = (1.2 T)(0.5 A)(5 cm x 5 cm)sin(30°) = 7.5 x 10-3 Nm.

The torque is the rotational force that causes the loop to rotate. This is due to the fact that a force is exerted on the loop by the magnetic field when there is a current running through it. This force generates a torque on the loop, which will cause it to rotate until the angle between the plane of the loop and the magnetic field is 0°.

Know more about torque here

https://brainly.com/question/25708791#

#SPJ11

Each aircraft must be moving at a speed of 85.75 km/hr towards each other to hear a pitch that is 2 times the emitted frequency.

What is frequency ?

Frequency is a physical quantity that describes the number of occurrences of a repeating event per unit of time. It is often measured in Hertz (Hz), which represents the number of cycles or vibrations per second.

In the context of waves, such as sound waves or electromagnetic waves, frequency refers to the number of complete cycles of the wave that occur in one second. A high frequency wave has more cycles per second than a low frequency wave.

Frequency is also an important concept in physics, particularly in the study of oscillations and waves. It is used to describe the behavior of systems that oscillate or vibrate, such as a simple pendulum or a guitar string. In these cases, the frequency of the oscillation is related to the natural frequency of the system, which is determined by its mass, stiffness, and other properties.

When two aircraft are moving towards each other, the sound waves from each aircraft are compressed, leading to a higher pitch than the emitted frequency. The pitch heard by the pilots of the aircraft can be calculated using the following formula:

Pitch heard = Emitted frequency * (Speed of sound + Speed of observer) / (Speed of sound - Speed of source)

Since the two aircraft are flying towards each other at the same speed, we can assume that the speed of one aircraft is x km/hr, and the speed of the other aircraft is also x km/hr. Therefore, the relative speed between the two aircraft is 2x km/hr.

Substituting the values given in the formula, we get:

2 * Emitted frequency = Emitted frequency * (343 + 2x) / (343 - x)

Simplifying this equation, we get:

686 - 2x = 343 + 2x

4x = 343

x = 85.75 km/hr

Therefore, each aircraft must be moving at a speed of 85.75 km/hr towards each other to hear a pitch that is 2 times the emitted frequency.

To know more about aircraft visit :-

https://brainly.com/question/5055463

#SPJ1

The location of her centre of mass, a physics student lies on a lightweight plank supported by two scales 2.50m apart, as indicated in the figure. If the left scale reads 290 N and the right scale reads 112 N The student's mass is approximately 41 kg, and the distance from her head to her centre of mass is approximately 0.696 m.

To determine the student's mass, we can sum up the readings from both scales, which are measures of force (Newtons) and then convert it to mass using the gravitational acceleration (g = 9.81 m/s²).
Step 1: Calculate the total force acting on the plank:
Total Force = Force_left_scale + Force_right_scale
Total Force = 290 N + 112 N
Total Force = 402 N
Step 2: Convert the total force to mass using gravitational acceleration:
Mass = Total Force / g
Mass = 402 N / 9.81 m/s²
Mass ≈ 41 kg
Now, to find the distance from the student's head to her centre of mass, we'll use the principle of torque equilibrium.
Step 3: Set up the torque equation:
Torque_left_scale = Torque_right_scale
Force_left_scale × Distance_left_scale = Force_right_scale × Distance_right_scale
Let x be the distance from the student's head to her centre of mass. Then, the distance from the left scale to the centre of mass is x, and the distance from the right scale to the centre of mass is (2.50 - x).
Step 4: Plug in the known values and solve for x:
290 N × x = 112 N × (2.50 - x)
Step 5: Simplify the equation and solve for x:
290x = 112(2.50) - 112x
290x + 112x = 112(2.50)
402x = 280
x ≈ 0.696 m
The student's mass is approximately 41 kg, and the distance from her head to her centre of mass is approximately 0.696 m.

For more such questions on  centre of mass

brainly.com/question/28021242

#SPJ11

From the sketch, we can deduce that the two charges q1 and q2 are of opposite signs, as field lines start at the positive charge q1 and end at the negative charge q2. The field lines also indicate that the magnitude of the electric field produced by q1 is larger than that of q2.

Learn more about electric field at: https://brainly.com/question/14372859

#SPJ11

The number of electrons per second that enter the positive end of a battery can be calculated by the current flowing through the circuit and the time for which it flows.

Therefore, The formula of current is as

I = Q/t

where I is the current,

Q is the charge passing through the circuit, and

t is the time for which the current flows.

Since one electron carries a charge of -1.6 x 10⁻¹⁹Coulombs, we can calculate the number of electrons passing through the circuit using the following formula:

n = Q/e

where n is the number of electrons and

e is the charge on an electron (-1.6 x 10⁻¹⁹ Coulombs).

If we know the current flowing through the circuit and the time for which it flows, we can calculate the number of electrons per second using the following formula:

n/s = I/e

where n/s is the number of electrons per second.

To learn more about the battery :

https://brainly.com/question/1699616

#SPJ11

The skydiver covered a distance of approximately 94.9 meters before opening his parachute between t1 and t2, assuming no air resistance or friction.

v = final velocity = v2 = 27 m/s

u = initial velocity = v1 = 11 m/s

a = acceleration = g = 9.8 m/[tex]s^2[/tex]

s = (v² - u²) / 2a

s = (27² - 11²) / (2 x 9.8) = 94.9 meters

Resistance measures an item's potential to impede the drift of electrical present-day through it. it's far measured in ohms (Ω). Resistance is decided by way of the bodily residences of an item, along with its dimensions, material, and temperature. while electric-powered present-day flows thru a conductor, it encounters resistance that slows down its float. This resistance is as a result of the collisions among electrons and the atoms inside the conductor.

Resistance can be laid low with changes inside the bodily properties of the conductor, such as duration, cross-sectional region, or temperature. an extended or narrower conductor may have higher resistance, even as a much broader conductor could have decreased resistance. understanding resistance is critical for designing and working electrical circuits. with the aid of controlling the resistance of a circuit, engineers can make sure that the appropriate amount of current flows to electricity the devices linked to it.

To know more about Resistance visit here:

brainly.com/question/11431009

#SPJ4

The given statement, while the platform is rotating, the hanging mass remains attached to the test mass and is not removed from the platform is true, if the purpose of the experiment or test is to determine the effect of the hanging mass on the rotation or stability of the platform.

In this case, the hanging mass must remain attached to the test mass during the rotation to observe the behavior of the system under the specified conditions. If the purpose of the experiment or test is to study the effect of the hanging mass on the platform's rotation or stability, the hanging mass must remain attached to the test mass during the rotation. This is because the presence of the hanging mass affects the overall weight and center of gravity of the system. Removing the hanging mass would alter the system's behavior and prevent accurate observations of the phenomenon under investigation. Therefore, if the experiment requires the hanging mass to be present, it must remain attached to the test mass while the platform is rotating.

To know more about platform, here

brainly.com/question/22850608

#SPJ4

--The complete question is, While the platform is rotating, the hanging mass remains attached to the test mass and is not removed from the platform. State true/false.--

a..... 1.04 x 10⁻⁴ Vi

b.... 9500 V

A) Determine the capacitance (to the nearest 10 μF).

First, we should identify the formula that we will use to solve the problem.

The formula that relates to capacitance is:

C = 2E / V². Where C is the capacitance in farads, E is the energy stored in joules, and V is the voltage across the capacitor in volts.

Converting the energy to joules, we have: E = 250J.

Now we know that the voltage needs to drop to half of its initial value in 10 ms. We can use the following formula to calculate the capacitance: C = R x t / ln(Vi / Vf) where R is the resistance in ohms, t is the time in seconds, Vi is the initial voltage, and Vf is the final voltage, which is half of the initial voltage.

B) Plugging in the given values, we get:

C = 48 x 0.01 / ln(Vi / (Vi / 2))Simplifying and solving for capacitance, we get:

C = 1.04 x 10⁻⁴ ViNow we can use the energy formula to solve for Vi:Vi = √(2E / C)

Plugging in the given values, we get:Vi = √(2 x 250 / 1.04 x 10⁻⁴)Simplifying and solving for Vi, we get:Vi = 9469 V

Therefore, the capacitance that meets these specifications is 100 μF and the initial capacitor voltage that meets these specifications is 9500 V, to the nearest 100 V.

Learn more about capacitance

brainly.com/question/28445252

#SPJ11