You and some friends are duck pin bowling. You’re up and you roll your bowling ball (m = 1.6kg) down the lane. It collided with one pin (0.68kg) on the end in a perfectly elastic one dimensional collision. If the ball was moving at a velocity of 6 m/s just before it hits the pin, what is the velocity of the bowling pin after the collision?

Take into account that this is a situation where the source moves presenting the Doppler effect.

In order to determine the wavelength of the sound generatd by the whistle at the observer, first calculate the frequency at the observer by using the following formula:

where:

f: frequency at the observer = ?

fo: source frequency = 725 Hz

vs: source speed = 25.2 m/s

v: speed of sound = 345 m/s

replace the previous values of the parameters into the fomrula for f:

Next, use the following formula to determine the wavelength of the sound at observer, by using the previous result:

Hence, the wavelength of the sound at the observer is 0.441 m

Answer:

A: Distance

Explanation:

You can not change gravity with acceleration or force in a weird way. Only mass and distance really affect gravity in normal physics.

Gravity is stronger when two objects are closer. Therefore gravity would decrease as distance increased.

Mass increases gravity.

The image below shows that gravity (depth) increases as the distance from the black hole decreases.

Newton’s Second Law states “The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.”

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

Force  = mass  × acceleration

Assuming the force constant the acceleration is inversely proportional to the mass of the object.

Thus, acceleration is directly proportional to force and inversely proportional to the mass of the body.

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Add 6 and 5, then multiply by 4 is the same as 4(6 + 5). TRUE

4 times greater than 80 + 25 is the same as 4 x (80 + 25). TRUE

Subtract 15 from 42 is the same as 15 − 42. TRUE

9 times greater than 11 + 12 is the same as 9 + 11 + 12. FALSE

9 (11+12)

8 times greater than 21 + 15 is the same as 8(21 + 15). TRUE

The density of the rock sample is 3000 kg/m³.

Density is an important property of matter because it can be used to determine the weight of an object. For example, if you know the density of a rock sample and its volume, you can calculate its weight by multiplying the density by the volume. Density can also be used to determine the composition of a material. For example, if you know the densities of different materials, you can identify the material of a rock sample by measuring its density.

Density is a measure of how much mass is contained in a given volume.. The calculation of the density of the rock sample:

Density = Mass / Volume

Density = 6 kg / 0.002 m³

Density = 3000 kg/m³

As a result, the rock sample has a density of 3000 kg/m³.

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Answer:Her hand is made to bounce from the bricks

Explanation:

Cassy can get more force on the bricks that she breaks with a blow of her bare hand when her hand is made to bounce from the bricks,

A force in physics is an effect that has the power to alter an object's motion. A mass-containing object's speed can vary, or accelerate, as a result of a force. Intuitively, a pull or a push can also be used to describe force. Being a vector quantity, a force also has magnitude and direction. The SI unit of newton is used to measure it (N). The letter F stands for force.

According to Newton's second law's original formulation, an object's net force is equal to the speed at which momentum is changing over time.

Objects' velocities can be altered by the concepts of push, drag, and torque. Thrust causes an object's velocities to increase, while torque causes an object's velocities to decrease. Each part of an extended body typically exerts pressures on its neighboring sections, and the internal mechanical force is determined by how these stresses are distributed.

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The maximum height reached by the baseball above the equilibrium point is 12.14 m.

The ball’s velocity, in meters per second, at half of the maximum height relative to the equilibrium point is 458.8 m/s.

The maximum height reached by the ball is determined as follows:

Data given:

The gravitational potential energy at the compressed position is zero.

Based on the law of conservation of energy, the total energy of the system is conserved.

Let the final height from the bottom be h

m * g* h = ¹/₂ * K * d²

h = (k * d²) / (2 * m * g)

h = 970 * 0.18² / (2 * 0.13 * 9.81)

h = 12.32 m

Height above the equilibrium point = 12.32 - 0.18

Height above the equilibrium point = 12.14 m

Velocity is calculated1 as follows:

Half of the maximum height relative to the equilibrium point = 12.14/2 + (0.18) = 6.25 m

¹/₂ * m * v² = ¹/₂ * K * d²

m * v² = K * d²

v = √(K * d² / m)

v = √(970 * 6.25² / 0.13)

v = 458.8 m/s

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ANSWER

EXPLANATION

When a force is applied on an object of mass m, it produces an acceleration of a.

We can represent this relationship using Newton's second law of motion:

Now, the same force is applied on an object with a mass of 2m.

Let the acceleration experienced by the object be a1. This implies that:

We can write this new acceleration in terms of a as follows:

That would be the acceleration of the second object.

The answer is the third option.

Given data:

* The mass of the sled is m_1 = 26 kg.

* The mass of the child is m_2 = 18 kg.

* The force in the upwards direction by the big brother is F_1 = 10 N.

* The force in the downwards direction by the big sister is F_2 = 16 N.

Solution:

The net mass on the sled along with the child is,

The net weight of the sled along with the child is,

The weight of the sled along the child is acting on the sled in the downwards direction.

Thus, the normal force acting on the sled (taking upward force as negative and downward force as positive) is,

Thus, the normal force acting on the sled is 437.2 N.

Given

Resistance of the oven, R=50.0 ohm,

Voltage is V=220 V

To find

The current drawn

Explanation

Let the current be I

By Ohm's law,

Putting the values,

Conclusion

The current drawn is 4.4 A

Given data

*The given moment of inertia is I = 3.45 kg.m^2

*The given braking torque is T = -9.40 N.m

*The angular distance traveled is

*The final angular speed is

The angular acceleration of the flywheel is calculated by using the torque and moment of inertia relation as

The formula for the initial angular speed of the flywheel is given by the rotational equation of motion as

Substitute the known values in the above expression as

Hence, the initial angular speed of the flywheel is 5.88 rad/s

The size of the upwards force due to the water (upthrust) acting on the sphere is 12.64 N.

Buoyancy or upthrust, is an upward force exerted by a fluid on an object immersed in the fluid due to the weight of the object

Thus, upthrust is the upward force acting on an object immersed in a liquid.

Fu - Df = F(net_u)

where;

Fu - F x sin(21) = ma x sin(19)

where;

Fu -  20 x sin(21) = (4 x 4.2) x sin(19)

Fu - 7.17 = 5.47

Fu = 12.64 N

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Given data:

* The speed of the bus is 100 km/hr.

* The speed of the conductor is 6 km/hr.

Solution:

(a). If the bus and conductor are traveling in the same direction.

The net speed of the conductor relative to the road is,

where v_1 is the velocity of the conductor relative to the road, v_b is the velocity of the bus, and v_c is the velocity of the conductor inside the bus,

Substituting the known values,

Thus, the speed of the conductor relative to the road is 106 km/hr.

(b). The speed of the conductor relative to the bus is the speed of the conductor on the bus,

Thus, the speed of the conductor relative to the bus is 6 km/hr.

ANSWER:

D)each block has the same kind of charge but we don't' know what kind it is

STEP-BY-STEP EXPLANATION:

Two charges of the same type always repel each other.

In this case, it is not possible to know what type of load they are, only that they are the same.

Therefore, the correct answer is:

D)each block has the same kind of charge but we don't' know what kind it is

ANSWER:

9340 kg*m/s

STEP-BY-STEP EXPLANATION:

Given:

Mass (m) = 934 kg

Speed (v) = 10 m/s

The formula to calculate the momentum is as follows:

The momentum of the car is 9340 kg*m/s.

Answer:

F = 1.36*10^-9

Explanation:

The given equation is

To calculate the value of F, you need to multiply 1.5*10^5 by 8.5*10^2 as follows:

Then, 2500² = 2500 x 2500 = 6.25 * 10^6, so replacing the value, we get:

Now, we need to divide 1.275*10^7 by 6.25*10^6, so

Finally, multiply 6.67*10^-11 by 20.4, so

We are asked to determine the x-coordinate of the center of mass of the given bricks. To do that, we will use the following formula:

Where:

Since we have three bricks, the formula expands to:

Since we have three bricks with the same characteristics we will assume the three of them have the same mass:

Taking "m" as a common factor and adding like terms in the denominator we get:

Now we cancel out the "m":

Now we determine the x-coordinates of each brick. Each brick is a parallelepiped, therefore, the x-coordinate is in the middle. Since each brick measures L, this means that the x-coordinate of the first brick is:

For the second brick, we have the L/2 of the separation from the first plus the L/2 of its length, therefore:

Now, for the third brick we have the L/4 of the separation from the second brick plus the L/2 of the separation of the second brick and the first brick and the L/2 of the length of the third brick, therefore:

Now we substitute in the formula for the x-coordinate:

Adding like terms in the numerator:

Simplifying:

Therefore, the x-coordinate of the center of mass is located at 11L/6 from the origin.

The force between the two charges is

Thus, if the charge is doubled, then its force will also be doubled.

Hence the correct option is increase.

(a) The impulse experienced by the player is 117 Ns.

(b) The force the floor exert on the player before the jump is 637 N.

(c) The total average force exerted by the floor on the player if the player is in contact with the floor for 0.450 s during the jump is 260 N.

The impulse experienced by the player is the change in the momentum of the player.

J = ΔP

J = m(v - u)

where;

J = 65 x (0 + 1.8)

J = 117 Ns

The force the floor exert on the player before the jump is calculated as;

F = mg

where;

F = 65 x 9.8

F = 637 N

The total average force exerted by the floor on the player if the player is in contact with the floor for 0.450 s during the jump is calculated as;

F = ma

F = m(v/t)

F = (mv)/t

F = (65 x 1.8) / 0.45

F = 260 N

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Grant jumps 1.10 m straight up into the air to slam-dunk a basketball into the net, the speed from which he would have left the floor would be 4.64 m / s .

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2 × a × t²

v² - u² = 2 × a × s

As given in the problem grant jumps 1.10 m straight up into the air to slam-dunk a basketball into the net.

By using the third equation of the motion,

v² - u² = 2 × a × s

0 - u² = 2 × -9.81 × 1.10

u = 4.64 m / s

Thus,  the speed from which he would have left the floor would be 4.64 m / s .

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The given statement is false.

If a spaceship traveling at 1,000 miles per hour enters an area free of gravitational forces, its engine must run at some maximum level in order to maintain the ship’s velocity

According to the given statement the band has been stretched far  is  0.25 m.

The energy that is stored when a force is used to bend an elastic object is known as elastic potential energy. Until the force is released as well as the object springs returns to its original form, doing work in the process, the energy is retained. The object may be squeezed, stretched, or bent during the deformation.

For example, if you pull a spring, it will return to its initial form when you release it (energy input equals energy output.) Elastic potential energy is rendered possible by this.

U= 1.94 J

k  = 58.7  N/m

U = 1/2 kΔ x²

1.94 = 1/2 kΔ x²

3.88/58.7 = Δ x²

x = √(3.88 /58.7)

x = 0.25 m

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Given,

The repulsive force exerted by the charges, F=0.500 N

The distance between the charges, d=1.5 m

From Coulomb's law,

Where q is the magnitude of the charge of each point charge and k is the coulomb's constant.

On rearranging the above equation,

On substituting the known values,

Thus the magnitude of the charge of each point charge is 1.1×10⁻⁵ C

Therefore the correct answer is option B.

For the pair of fuzzy dice hanging by a string from the rearview mirror, while accelerating from a stop-light to 28 m/s in 6.0 s, the string makes an angle of 25.5 degrees with the vertical.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Parameters given include:

velocity: 28,/s time= 6.0 seconds

a = v/t = 28m/s / 6.0s = 4.667 m/s²

Taking into account the forces acting on the dice...there is a force of gravity acting straight down with a magnitude of mg.

so we have that

Angle = tan-1(a/g)

Angle = tan-1(4.667 / 9.8) =  25.5 degrees.

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Work does Scott do to push a 74 kg sofa 2.1 m across the floor at a constant speed. The coefficient of kinetic friction between the sofa and the floor is 0.23 is 349 Nm.

given that :

mass = 74 kg

distance d = 2.1 m

coefficient of kinetic friction , μk  = 0.23

work done is given as :

w = fd

f = μk m g

f = 0.23 × 74 × 9.8

f = 166 N

therefore ,

work = fd

w = 168 × 2.1

w = 349 Nm

Work does Scott do to push a 74 kg sofa 2.1 m across the floor at a constant speed. The coefficient of kinetic friction between the sofa and the floor is 0.23 is 349 Nm.

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Firs we will use the next formula

Where G is the gravitational force, m nd m2 are the masses and r is the distance between the masses

In our case

m1=m2= 2.0 x 10^4 kg

r= 2m

G=6.673 x 10^-11 N•m^2/kg^2

We substitute

ANSWER

The gravitational force is 0.00667=6.7x10^-3N

To find

The source of the Sun’s heat and light energy is:

Explanation

The sun's core is very hot. So under pressure nuclear fusion takes place. Here hydrogen is changed to helium.

Conclusion

The correct option is

B. fusion of hydrogen nuclei.

For practical reasons, we can consider each side of the square as an infinite wire. This can be seen on the following drawing:

This way, the field on the center will be the sum of the contribution of each wire. We can calculate the contribution of a single wire as:

Then, the total field will be this, multiplied by the number of wires:

Then, the resulting field will be Bt=36.46uT

Given data:

* The speed of the cyclist is 6.5 m/s.

* The initial distance of the cyclist from the van is 333 m.

* The initial velocity of the van is 15 m/s.

* The acceleration of the van is,

Solution:

Let x be the distance from the van initial position at which the cyclist and van meet.

Let the cyclist meet the van at time t.

By the kinematics equation, the position of the cyclist at time t is,

where u_c is the speed of the cyclist, a_c is the acceleration of the cyclist, t is the time taken and 333-x is the distance traveled by the cyclist at time t,

The acceleration of the cyclist is zero.

Substituting the known values,

By the kinematics equation, the position of the van after time t is,

where u_v is the velocity of the van, a_v is the acceleration of the van, and t is the time taken,

Substituting the known values,

Substituting this value of x in the kinematics equation of the cyclist,

By solving the quadratic equation,

As the value of time cannot be negative.

Thus, the time at which the cyclist and van meet is 24.8 seconds.