A fuzzy die that has a weight of 1.70N hangs from the ceiling of a car by a massless string. The car travels on a horizontal road and has an acceleration of 2.70m/s^2 to the left. The string makes an angle theta with respect to the vertical, as shown in the figure below. 1) What is the angle theta?

Given:

The mass when fully loaded with passengers is m =2078.1 kg

The height is h = 107.1 m

To find the potential energy of the roller coaster.

Explanation:

The potential energy of the roller coaster is given by the formula

Here, g= 9.8 m/s^2 is the acceleration due to gravity.

Substituting the values, the potential energy of the roller coaster will be

Final Answer: The potential energy of the roller coaster is 2181132.198 N

If an object is following a curve, it means that it is changing direction. This change in direction will cause a change in velocity. Change in velocity causes acceleration. Since the velocity keeps changing, the acceleration is not zero. This also means that the net force is not zero. Therefore, you can safely assume:

There is a net force being applied

The final speed (in meters per second), given that the coefficient of friction between her skis and the snow is 0.38 is 14.65 m/s

First, we shall obtain the force. This can be obatined as follow:

F = μKN

F = 0.38 × 588

F = 223.44 N

Next, we shall obtain the acceleration of the skier. This can be obtained as follow:

a = F / m

a = 223.44 / 61

a = 3.724 m/s²

Finally, we shall determine the final velocity. This can be obtained as follow:

v² = u² + 2as

v² = 14² + (2 × 3.724 × 50)

v² = 196 + 18.62

v² = 214.62

Take the square root of both sides

v = √214.62

v = 14.65 m/s

Thus, the the final speed is 14.65 m/s

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The final speed right at the top will be 14.65 m/s and the coefficient of friction between her skis and the snow is 0.38.

The ratio between displacement to time is referred to as the velocity of the object. It is a vector quantity with SI unit meter per second (m/s).

According to the question, the given information is :

Skier's mass, m = 60 kg

The acceleration due to gravity, g = 9.8 m/s²

Initial Speed, u = 14 m/s

Distance, s = 2.5 m

Deceleration is given as, a = 3.724 m/s².

Normal reaction force (N) will be equal to mg.

N = 60 × 9.8

N = 588 N

The coefficient of kinetic friction is given as, μ = 0.38

By using the formula,

F = μKN

F = 0.38 × 588

F = 223.44 N

Now, let's calculate the acceleration of the skier :

f = ma

a = f/m

a = 223.44/60

a =  3.724 m/s².

Now, calculate the velocity,

v² = u² + 2as

v² = 14² + 2 (3.724) (50)

v² = 196 + 18.62

v² = 214.62

v = 14.65 m/s.

Hence, the final speed right at the top will be 14.65 m/s.

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For a sine or cosine function of the form:

the perfiod is given by:

In this case we have that:

Then we have:

Therefore, the period is 10 ms

Until 1897, atom was thought as the fundemental particle. But in 1897 J.J Thompson discovered that the atoms contains electrons. He discovered during his experiment with cathod ray tube.

Thus the correct answer is option C.

The force (r) on one atom as a function of r is  a/r¹³ - b/r⁷.

The electric force between charged molecules is determined by applying Coulomb's law, which states that the electric force between tow charged molecules is directly proportional to the product of their charges and inversely proportional to the square of their distance.

F = kq²/r²

where;

The electric potential energy of the atoms is given as;

U = Fr

From the given parameters;

Fr = a/r¹² − b/r⁶

F = 1/r( a/r¹² − b/r⁶)

F = a/r¹³ - b/r⁷

Thus, the force on one atom as a function of r is determined by applying Coulomb's law of electrostatic force. The force is also expressed in terms of the variables a , b , and r .

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Given data

*A construction worker pushes a wheelbarrow at a distance is d = 5.0 m

*The given horizontal force is F = 250.0 N

The formula for the work is done by the worker on the wheelbarrow is given as

Substitute the known values in the above expression as

Hence, the work done by the worker on the wheelbarrow is W = 1250 J

ANSWER:

5th option: sometimes come very close to Earth

STEP-BY-STEP EXPLANATION:

Asteroids are small rocky objects that orbit the Sun. Although asteroids orbit the Sun like planets, they are much smaller.

Therefore, of the options the only totally true option is "sometimes come very close to Earth"

So the correct answer is 5th option: sometimes come very close to Earth

Explanation

The beat frequency is equal to the complete value of the alteration in the frequency of the two waves,it can be calculated by using the expression

so

Step 1

a)let

b) replace and calculate

so

the beat frequency is 10 HZ

Step 2

the frequency yuo will detect is the difference of the frequency, so , teh frequency beat, so

the frequency you hear will be 10 Hz

I hope this helps you

Isothermal process: Temperature remains constant

Adiabatic process: No heat is exchanged to or from the system.

Isochoric process : Change in volume is zero.

ISobaric process : Pressure remains constant .

ANSWER

1.61 m/s

EXPLANATION

Given:

• The distance the Slinky is stretched, d = 4 m

• The time it takes for the wave to travel the length mentioned before and back, t = 4.97 s

Find:

• The speed of the wave, v

We know that the wave takes 4.97 seconds to travel the 4 meters the Slinky was stretched and back, so it travels a total of 8 meters in that time. This means that the speed of the wave is,

Hence, the speed of the wave is 1.61 m/s.

ANSWER

A. 9600 kg

EXPLANATION

Given:

• The volume of the substance, V = 12m³

• The relative density of the substance, 0.8

• The density of water, 1000 kg/m³

Unknown:

• The mass of the substance, m

The relative density of a substance is defined as,

And the density of a substance is,

Let's solve the first formula for the density of the substance,

Then, solve the second formula for m,

Hence, the mass of this substance is 9600 kg

To determine whether the given statement is true/false.

Explanation:

In nuclear reactors, after nuclear fission, energy is generated in the form of heat. This heat is used convert water steam.

In coal plant, burning coal produces steam.

Thus, the statement is true.

There are 3 types of energy:

Kinetic energy(KE): energy of moving objects

Potential energy(PE): energy that an object has stored, position energy

Mechanical energy: The sum of both. PE+KE

The kinetic energy formula is

Where m = 1180 kg and v = 18.2 m/s.

Therefore, the kinetic energy is 195,431.6 Joules.

The values on the curve corresponding to the y axis are the y values

The values on the curve corresponding to the x axis are the x values

We would pick corresponding x and y values on the graph and compare them

On the graph, each small square represents 1 unit on both axes.

If x = 1, y = 1

If x = 4, y = 2

if x = 9, y = 3

We know that the square root of 1 is 1, the square root of 4 is 2 and the square root 9 is 3. This means that

y is the square root of x

The function is

Thus, it is a square root function

The first option is correct

The distance between them remain the same over time both of them are accelerating - because of gravity

What is acceleration ?

acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Both of them are accelerating - because of gravity - and the one that you dropped first has been accelerating for longer - and is therefore going faster than they one that you dropped later.

Until the two objects both reach their terminal velocities - assuming the objects are identical - their speeds will eventually be the same - and from that point onwards - the distance between them won’t change

The distance between them remain the same over time both of them are accelerating - because of gravity

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Given:

The mass of the Darin is m = 75.5 kg

The air resistance is

Required: Darin's acceleration.

Explanation:

According to Newton's second law, the downward force will be

Here, g = -9.8 m/s^2 is the acceleration due to gravity.

On substituting the values, the downward force will be

The net force will be

Final Answer: Darin's acceleration is -611.9 N

Answer:

Definition- Electric power is the rate at which electrical energy is transferred by an electric circuit.

Answer:

the rate at which electrical energy is transferred by an electric circuit.

Explanation:

Answer:

Angle:

α =  - 62°

Explanation:

 Given:

Nₓ = 12.6 m

Ny = - 22.2 m

_________

α -  ?

The direction of  vector:

tg α = Ny / Nₓ

tg α = ( - 22.2 ) / 12.0 ≈ - 1.85

Angle:

α = arctg ( - 1.85) ≈ - 62°

The direction of the vector is [tex]\alpha=-62^o[/tex]. Given Components: Nₓ = 12.6 m and Ny = -22.2 m. The negative sign indicates that the angle is measured clockwise from the positive x-axis.

Finding the Tangent of Angle α:

  - The tangent of an angle α can be calculated using the formula: tan(α) = opposite/adjacent. In this case, the opposite side is Ny, and the adjacent side is Nₓ. So, you have:

    tan(α) = Ny / Nₓ

    tan(α) = (-22.2) / 12.6 ≈ -1.85

Finding the Angle α:

  - To find the angle α, you need to take the arctangent (inverse tangent) of the value you calculated above. This will give you the angle whose tangent is approximately -1.85:

    α = arctan(-1.85)

    α ≈ -62°

So, based on the given vector components Nₓ and Ny, the angle α is approximately -62 degrees.

The negative sign indicates that the angle is measured clockwise from the positive x-axis.

The angle obtained is in degrees. If you need the angle in radians, you could convert it using the relationship: radians = degrees × (π / 180).

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We will ave that the effective force is:

So, the effective force is 21.52 Pounds.

Given:

The current is,

The resistance is,

To find:

The potential across the battery

Explanation:

Using Ohm's law, we can write the potential across the battery is,

Hence, the potential across the battery is 10 V.

Part 1)

When a standing wave oscilates in an air-filled tube closed at one end and open at the other, the closed end is a node and the open end is an antinode. Then, the diagram of the wave inside the tube looks like the following:

Part 2)

The nodes are the points where the two curves intersect (darker regions) and the antinodes are the clearer regions.

Part 3)

In each wave on the diagram, the distance between two consecutive nodes or two consecutive antinodes is the same as half the wavelength.

Part 4)

The standing waves arise from the combination of reflection and interference of waves inside the air column when the wavelengths match the length of the tube in such a way that the open end is an antinode and the closed end is a node.

ANSWER

• I(toaster) = 15.08 A

• I(pan) = 11.17 A

• I(lamp) = 0.71 A

EXPLANATION

Given:

• The toaster's power, P(toaster) = 1810 W

• The frying pan's power, P(pan) = 1340 W

• The lamp's power, P(lamp) = 85 W

• The total current supported by the circuit, I = 15 A

• The voltage of the circuit, V = 120 V

Find:

• The current across each device

Power is the product of current and voltage,

We know that all three devices are connected in parallel, which means that they all have the same voltage, 120 V.

Solving the equation above for I,

So, for each device,

Hence, the current drawn by each device is:

• I(toaster) = 15.08 A

• I(pan) = 11.17 A

• I(lamp) = 0.71 A

The shortest distance in which you can stop, after the breaks are applied is 80.38 m.

The shortest distance in which you can stop is calculated by applying the principle of conservation of energy and work energy principle.

K.E = ¹/₂mv²

where;

K.E is your kinetic energy

m is your mass

v is your speed

The work done by force of friction before you stop is calculated as follows;

W = Ffx

where;

W = (μmg)x

where;

W = K.E

(μmg)x = ¹/₂mv²

(μg)x = ¹/₂v²

x = (v²) / (2μg)

x = (32²) / (2 x 0.65 x 9.8)

x = 80.38 m

Thus, the shortest distance in which you can stop, after the breaks are applied is determined by applying the principle of conservation of energy.

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The complete question is below:

Your are driving at 32 m/s, what is the shortest distance in which you can stop, after the brakes are applied, without the groceries sliding off the seat? The static and kinetic coefficients of friction are, respectively, 0.65 and 0.45. Assume that the surface of the seat is horizontal.

Given:

The mass of the child and the sled is,

The child acquires a speed at the bottom of the hill is,

To find:

The height of the hill

Explanation:

The potential energy at the top of the hill will be converted to the potential energy at the bottom of the hill. So for the hill of height 'h', we can write, the potential energy as

The kinetic energy is

So,

Hence, the height of the hill is 1.84 m.

Answer: For downwind sailing, with the sail oriented perpendicular to the wind direction, the pressure increase on the upwind side is greater than the pressure decrease.

Explanation: this is all i know

To transmit the same amount of electricity, there is a 2.5 W power loss.

A power loss is the difference in power between a device, piece of equipment, pump set, or process' input and output (Pv). Pumps, equipment, and procedures, as well as electrical and electronic devices, turn this undesirable loss into heat.

Consumers receive electric energy in different units than what power plants create. A fraction of the units is lost in the distribution network. This difference between the distributed and created units is referred to as transmission and distribution loss.

According to Ohm's law, power can be defined as

P = VI

Here,

V = Voltage

I = Current

replacing

100kW = 10WI

I = [tex]\frac{100}{10}[/tex]

I = 10 Amp

Now we can find the resistance

R = [tex]\frac{P_{LOSS} }{I^{2} }[/tex]

Replacing,

R = [tex]\frac{1000}{10^{2} }[/tex]

R = 10Ω

In the second state when the voltage is 200kv, we have,

I = [tex]\frac{100*10^{3} }{200*10^{3} }[/tex]

I= [tex]\frac{100000}{200000}[/tex]

I= 0.5 A

Now power loss,

[tex]P_{t}[/tex] = [tex]I^{2}[/tex]R

[tex]P_{t}[/tex] = ([tex]0.5^{2}[/tex]) (10)

[tex]P_{t}[/tex] = 0.25 *10

[tex]P_{t}[/tex] =2.5 W

As a result, 2.5W is needed to transport the same amount of electricity.

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Answer:

Both parents could be heterogeneous: Hh.

Explanation:

Both parents could be heterogeneous.

Both parents are Hh.

H = 2 eyes , dominant trait

h = one eye, recessive trait

The childs genotype is hh.

Given:

Different kinds of forces

To find:

Identify the contact forces and non-contact forces

Explanation:

A force that acts between two surfaces in contact is a contact force, while the force that acts between the two surfaces, not in contact, is a non-contact force.

The contact forces here are:

Sitting on a chair (friction)

Skateboard slows down on a rough surface (friction)

Slamming the door (friction)

Non-contact forces:

Magnet attracting paper clips (magnetic force)

Two like charges repel each other (electrostatic force)

When A peach falls from a tree (gravitational force)