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Question 13
Medium

A remote-controlled toy train travels around a circular track.

a.

Explain why the velocity of the toy train is different from its speed as it travels around the track.

[2]
b.

The mass of the toy train is 3 kg3\text{ kg}3 kg and it has an acceleration of 6 m/s26\text{ m/s}^26 m/s2. Calculate the force needed to accelerate the toy train. Use the equation: force=mass×acceleration\text{force} = \text{mass} \times \text{acceleration}force=mass×acceleration

Force = ________ N\text{\_\_\_\_\_\_\_\_ N}________ N

[2]
c.

Suggest why the actual force needed would be more than the value calculated in part (b)(i).

[1]
d.

Another toy train requires a constant force of 40 N40\text{ N}40 N to move along a track. Calculate the work done on the train when it moves a distance of 60 m60\text{ m}60 m. Use the equation: work done=force×distance\text{work done} = \text{force} \times \text{distance}work done=force×distance

Work done = ________ J\text{\_\_\_\_\_\_\_\_ J}________ J

[2]
e.

Calculate the power output of this toy train if the work is done over 80 seconds80\text{ seconds}80 seconds. Use your answer from (c)(i).

Power = ________ W\text{\_\_\_\_\_\_\_\_ W}________ W

[3]

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