A 5,400 W motor is used to do work. If the motor is used for 640 s, about how much work could it do?

8.4 J
4,800 J
6,000 J
3,500,000 J

The specific heat capacity of water is 960 J/(kg·°C).

The rate of heat loss from the tube is 21.1 W.

First we can use the formula for heat energy (Q) to solve this problem:

Q = m * c * ΔT

Where

For the first scenario, we have:

m = 0.1500 kg/m

Q = 25.2 W

ΔT = 17.4 °C - 15.2 °C = 2.2 °C

Substituting these values into the formula, we get:

25.2 W = 0.1500 kg/m * c * 2.2 °C

c = 960 J/(kg·°C)

Therefore, the specific heat capacity of water is 960 J/(kg·°C).

For the second scenario, we have:

m = 0.2318 kg/m

Q = 37.8 W

ΔT = 17.4 °C - 15.2 °C = 2.2 °C

Substituting these values into the formula, we get:

37.8 W = 0.2318 kg/m * 960 J/(kg·°C) * 2.2 °C + P

Where

Simplifying, we get:

P = 37.8 W - 0.2318 kg/m * 960 J/(kg·°C) * 2.2 °C

P = 21.1 W

Therefore, the rate of heat loss from the tube is 21.1 W.

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The momentum can be calculated with the following formula:

Where m is the mass and v is the velocity.

So, for m = 2500 kg and v = 21 m/s, we have:

Rounding to 2 significant figures, we have a momentum of 53000 kg*m/s

Answer:

44m/s is the speed of that particle after 8 seconds

No. The object has to have motion for it to have kinetic energy.

Answer:

Kinetic energy.

The explanation never existed

Answer: Kinetic Energy

Answer:

2√5N will be the weight.

Explanation:

The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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Answer:

A

Explanation:

(A is the quantium state which cannot exist

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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Answer:

Explanation:

There will be conservation of momentum along horizontal plane because no force acts along horizontal plane.

momentum of first piece = .320 kg x 2 m/s

= 0.64 kg m/s along x -axis.

momentum of second piece = .355 kg x 1.5 m/s

= 0.5325 kg m/s along y- axis .

Let the velocity of third piece be v and it is making angle of θ with x -axis .

Horizontal component of its velocity = .100 kg x v cosθ = .1 v cosθ

vertical  component of its velocity = .100 kg x v sinθ = .1 v sinθ

For making total momentum in the plane zero

.1 v cosθ = 0.64 kg m/s

.1 v sinθ = 0.5325 kg m/s

Dividing

Tanθ = .5325 / .64 = .83

θ = 40⁰.

The angle will be actually 180 + 40 = 220 ⁰ from positive x -axis.

Answer:

8.3 m/s, 2196 degree from + X axis

Explanation:

m = 320 g , u = 2 m/s along X axis

m'  = 355 g, u' = 1.5 m/s along Y axis

m'' = 100 g, u'' = v

Let the speed of the third piece is v makes an angle A from the X axis.

use conservation of momentum along X axis

0 = 320 x 2 + 100 x v cos A

v cos A =  - 6.4 ..... (1)

Use conservation of momentum along Y axis

0 = 355 x 1.5 + 100 x v sin A

v sinA = - 5.3 ... (2)

Squaring and adding

\(v^2 = (-6.4)^2 +(-5.3)^2\\\\v= 8.3 m/s\)

The angle is given by

\(tan A = \frac{-5.3}{-6.4}\\\\A = 219.6 degree\) from + X axis

Answer:

C) The book's inertia carried it forward.

When the bus stops suddenly, the book tends to remain in motion due to its inertia. The book was at rest on the seat of the bus, and when the bus stopped suddenly, the book continued moving forward with the same speed and direction it had before the bus stopped. As a result, the book slid off the seat and onto the floor.

Answer:

Equations of motion relate the displacement of an object with its velocity, acceleration and time. s=vt where s is the displacement, v the (constant) speed and t the time over which the motion occurred. ...

Displacement with negative acceleration: s, equals, v, t, minus, one half, a, t, square...

Displacement with positive acceleration: s, equals, u, t, plus, one half, a, t, squared,s...

Velocity squared: v, squared, equals, u, squared, plus, 2, a, s,v2=u2+2as

Velocity: v, equals, u, plus, a, t,v=u+at

Yes, more centripetal force is required to to sustain an object in circular motion that is moving at a greater velocity.

Answer:

Explanation:

Force:

Fₙ = m*V² / R

m - const

R - const

V ↑

Fₙ ↑

The value of θ does not exist for the given data in the above problem as the sin θ value is not in range.

Given that,

Frequency of the cord = 142 Hz

Mass of the block = 21.6 kg

Length of the cord = 0.7 m

Density μ = 0.96* 10⁻² kg/m

The tension opposing the movement of the block is given by,

T = W sinθ = m* g sin θ = 21.6* 9.81 sin θ = 211.9 sin θ ----(1)

We know the formula for the frequency of the stretched string as,

f = 1/(2L)* (√T/μ)

Substituting the values in the above equation, we have,

142 = 1/(2* 0.7)* [√(211.9*sin θ)/(0.96* 10⁻²)]

142 = 1/(1.4)* [148.57√sin θ]

(142* 1.4)/148.57 = √sin θ

√sin θ = 1.34

sin θ = 1.8

The range of sin θ -1 ≤ y ≤ 1.

So, the θ does not exist.

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a}The work is done by the piston in the process is 199 cal.

b) The increase in internal energy of the gas is  703 cal

c) The heat was supplied to the gas is  3771 J

(a) To calculate the work done by the piston, we can use the formula:

Work = P * ΔV

Where P is the constant pressure and ΔV is the change in volume. Since the pressure is constant, the work done is given by:

Work = P * (\(V_2 - V_1\))

Since the amount of gas is constant (1 mole), we can use the ideal gas law to calculate the initial and final volumes:

PV = nRT

\(V_1 = (nRT_1) / P_1\)

\(V_2 = (nRT_2) / P_2\)

Here, n is the number of moles (1 mole), R is the gas constant (1.99 cal/mol·°C), T1 is the initial temperature (27 °C + 273 = 300 K), T2 is the final temperature (127 °C + 273 = 400 K), and P1 and P2 are the initial and final pressures, respectively (both 1 atm).

Substituting the values into the equation, we have:

V1 = (1 mol * 1.99 cal/mol·°C * 300 K) / (1 atm) ≈ 597 cal

V2 = (1 mol * 1.99 cal/mol·°C * 400 K) / (1 atm) ≈ 796 cal

Therefore, the work done by the piston is:

Work = 1 atm * (796 cal - 597 cal) = 199 cal

(b) The increase in internal energy of the gas can be calculated using the equation:

ΔU = n * C * ΔT

Where ΔU is the change in internal energy, n is the number of moles (1 mole), C is the molar heat capacity (7.03 cal/mol·°C), and ΔT is the change in temperature (127 °C - 27 °C = 100 °C).

Substituting the values into the equation, we have:

ΔU = 1 mol * 7.03 cal/mol·°C * 100 °C = 703 cal

(c) The heat supplied to the gas can be calculated using the equation:

Q = ΔU + Work

Substituting the values calculated in parts (a) and (b), we have:

Q = 703 cal + 199 cal = 902 cal

Since 1 cal = 4.184 J, the heat supplied to the gas is:

Q = 902 cal * 4.184 J/cal ≈ 3771 J

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An object with an initial velocity of 5m/s has a constant acceleration of \(2m/s^2\) .The object has traveled a distance of 50 meters when it is speed is 15m/s how far has us travelled​

To find the distance traveled by the object, we can use the equation:

\(v^2 = u^2 + 2as\)

where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled.

Given:

Initial velocity (u) = 5 m/s

Acceleration (a) = 2\(m/s^2\)

Final velocity (v) = 15 m/s

We need to solve for s.

Rearranging the equation, we have:

s =\((v^2 - u^2)\) / (2a)

Substituting the given values, we get:

s = \((15^2 - 5^2)\)/ (2 * 2)

s = (225 - 25) / 4

s = 200 / 4

s = 50 m

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The cyclist accelerates at 1.2 m / s² after 2 seconds he reaches a speed of 2.4 m / s, then the momentum at this point would be 211.2 kg-m/s, therefore the correct answer is option D.

It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.

As given in the problem a cyclist and his bicycle has a combined mass of 88 kg and a combined weight of 862.4 N. The cyclist accelerates at 1.2 m/s2. After 2 seconds he reaches a speed of 2.4 m/s.

The momentum of the cyclist = 88 × 2.4

                                                 = 211.0 kgm/s

Thus, the momentum of the cyclist would be  211.0 kgm/s.

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Average velocity of man is 2 m/s

Given that;

Distance between tree and house = 16 m

Time taken = 8 seconds

Find:

Average velocity

Computation:

Average velocity = Total distance cover / Time taken

Average velocity = Distance between tree and house / Time taken

Average velocity = 16 / 8

Average velocity = 2 m/s

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A chopper’s speed increases from 35 m/s to 60 m/s in 5 seconds. Therefore, the acceleration of this helicopter is 5m/s².

The term an acceleration is the name we supply to any process where the velocity changes.

Therefore, velocity is a speed and a direction, there are only two ways for you to accelerate is change your speed or change your direction or change both.

Given:

Initial speed = 35 m/s

Final speed = 60 m/s

Time = 5 s

v = u + at

60 = 35 + a(5)

60 - 35 = 5a

25 = 5a

a = 5

Thus, the acceleration of this helicopter is 5m/s².

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Answer: 134 = 143 = 151 = 166 = 176

Hope this helps!!

Sorry if it's incorrect!!

:'(

Answer:

B. Increasing the temperature increases the reaction rate.

Explanation:

This is as with a higher temperature the particles have more kinetic energy, this is the consequece of the increase in reaction rate as the frequency of particles colliding is increased.

Answer: B

Explanation:

The right sphere will acquire an equal and opposite net positive charge to balance the negative charge on the left sphere.

Since the left sphere is attracted to the positively charged rod, it means that the left sphere acquires a temporary negative charge due to induction.

The positive charge on the rod repels electrons in the left sphere, causing them to move away from the rod side and accumulate on the opposite side, resulting in a net negative charge on the left sphere.

According to the principle of charge conservation, the net charge on the system must remain zero. Therefore, the right sphere acquires an equal and opposite net positive charge to balance the negative charge on the left sphere.

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Answer:

The formation of a magnetosphere requires that the dipolar field is strong enough for the obstacle effective size to be larger (Dp > 20λi) than ion scales. In this case, a bow shock, magnetosheath, and magnetospheric system are driven, and the flow is modified far upstream.

Answer:

Endurance, or aerobic

Strength, or resistance training

Balance

Flexibility

Explanation:

Answer:

Walking. Walking is simple, yet powerful. It can help you stay trim, improve cholesterol levels, strengthen bones, keep blood pressure in check, lift your mood, and lower your risk for a number of diseases (diabetes and heart disease, for example).

Answer:1.93

Explanation:

The magnitude of a vector can be found using the Pythagorean theorem, where the components of the vector are the sides of a right triangle.

In this case, the components of displacement vector A are given as A = -1.00 m and A-1.732 m.

The magnitude of A can be calculated as follows:

A = √(-1.00 m)^2 + (1.732 m)^2 = √3.732 m^2 = 1.93 m

So, the magnitude of displacement vector A is 1.93 m.

The values of A, B, C, and D are not related to the displacement vector A, so they cannot be used to find the magnitude of A.

Complete Question:

What force (in N) must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2100 kg car (a large car) resting on the slave cylinder ? The master cylinder has a 2.00-cm diameter and the slave has a 24.0-cm diameter

Answer:

\(F_1 = 142.92N\)

Explanation:

Given

\(m = 2100kg\) --- mass

\(D_1 = 2.00\ cm\) --- diameter of the large cylinder

\(D_2 = 24.0\ cm\) --- diameter of the slave cylinder

To do this, we apply Archimedes' principle of buoyancy which implies that:

\(P = \frac{F_1}{A_1} = \frac{F_2}{A_2}\)

Where

\(F_1 = Force\ on\ the\ master\ cylinder\)

\(F_2 = Force\ on\ the\ slave\ cylinder\)

\(A_1 = Area\ of\ the\ master\ cylinder\)

\(F_2 = Area\ of\ the\ small\ cylinder\)

Calculating the area of the master cylinder.

\(A_1 = \pi r_1^2\)

\(r_1 = \frac{1}{2}D_1 = \frac{1}{2} * 2.00cm = 1.00cm\)

\(A_1 = \pi* 1^2\)

\(A_1 = \pi * 1\)

\(A_1 = \pi\)

Calculating the area of the slave cylinder.

\(A_2 = \pi r_2^2\)

\(r_2 = \frac{1}{2}D_2 = \frac{1}{2} * 24.00cm = 12.00cm\)

\(A_2 = \pi* 12^2\)

\(A_2 = \pi* 144\)

\(A_2 = 144\pi\)

Substitute these values in:

\(P = \frac{F_1}{A_1} = \frac{F_2}{A_2}\)

\(\frac{F_1}{\pi} = \frac{F_2}{144\pi}\)

Multiply both sides by \(\pi\)

\(\pi * \frac{F_1}{\pi} = \frac{F_2}{144\pi} * \pi\)

\(F_1 = \frac{F_2}{144}\)

The force exerted on the slave cylinder (F2) is calculated as:

\(F_2 = mg\)

\(F_2 = 2100 * 9.8\)

\(F_2 = 20580\)

Substitute 20580 for F2 in \(F_1 = \frac{F_2}{144}\)

\(F_1 = \frac{20580}{144}\)

\(F_1 = 142.92N\)

Hence, the force exerted on the master cylinder is approximately 142.92N

The crust on Mercury is younger than the crust on Mars or Venus.

option D.

If the evidence that the crust on Mercury is younger than the crust on Mars or Venus is found to be true, it would disprove the current theory of Mercury's formation.

The current theory proposes that Mercury was formed from the solar nebula, which led to the differentiation of its core and mantle. This theory suggests that Mercury's crust should be older than that of Mars or Venus since Mercury is the closest planet to the Sun and should have formed first.

Therefore, if it is discovered that the crust on Mercury is younger than the crust on Mars or Venus, it would be inconsistent with the current theory of Mercury's formation.

A, B, and C are not relevant to Mercury's formation theory as they do not directly relate to the processes that occurred during the planet's formation.

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Answer:

A-certain impact crators on the surface of Mercury are as old as the planet itself.

Explanation:

Edmentum

The arrow that represents the change of state of the substance is gaseous to liquid (O).

A change of state occurs when a matter gains or losses energy.

A liquid can change into solid or gas. A gas change into liquid or solid, depending on the average change in temperature.

The initial state of the substance is gas, because the atoms of the substance are far apart.

When the atoms are close together but are able to slide past one another, the state is liquid.

Note: atoms of solid substance are fixed.

Thus, the arrow that represents the change of state of the substance is gaseous to liquid (O).

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Considering the investigation and the observation made we can say the arrow that represents the change of state is: O

A change of state is the process by which a matter changes from one physical form to another.

in change of state we have mainly three states: Liquid, Gas and Solid.

Changing from gas to liquid is called condensation, because the atoms of gases move freely and faster. but once the speed reduces and their movement becomes restricted, then we say a condensation has occurred.

In conclusion, from the observation made, we can say the arrow that represents the change is Arrow O. which is from gas to liquid.

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Given that,

The force constant of a spring, k = 570.8 N/m

It is stretched 4.12 cm from the equilibrium.

To find,

The potential energy stored in the spring.

Solution,

The potential energy stored in the spring is given by the formula as follows :

\(E=\dfrac{1}{2}kx^2\)

Put all the given values,

\(E=\dfrac{1}{2}\times 570.8 \times (4.12\times 10^{-2})^2\\\\E=0.484 J\)

So, the required potential energy is 0.484 J.

This may shock you:

We NEVER feel speed, velocity, or motion, as long as it's constant.

We only feel CHANGES in speed, velocity, or motion.

That means speeding up, slowing down, or changing direction.

As long as we're moving in a straight line at a constant speed, we don't feel anything.