Physics 5054 · O Level · Motion

Motion — practice question

Fig. 7.1 depicts a child seated on a sledge on a snow-covered hill with a constant slope. At time $t = 0$, the child and the sledge start moving straight down the hill. When the child notices a wall ahead, he applies the brake. The child and sledge keep travelling in a straight line until they stop just before reaching the wall. Fig. 7.2 gives the speed-time graph for the journey. The brake is applied at $t = 26\,\text{s}$.
(a)[3]

Explain why the speed changes in the way shown on the graph during the interval from $t = 0$ to $t = 26\,\text{s}$.

(b)[3]

At $t = 26\,\text{s}$, the front of the sledge is 35 m from the wall. Find the gap between the front of the sledge and the wall when the sledge comes to rest.

(c(i))[3]

Determine the magnitude of the deceleration.

(c(ii))[2]

The child has mass 46 kg and the sledge has mass 9.0 kg. Calculate the resultant force on the child and sledge while they are decelerating.

(c(iii))[2]

State the energy transfer occurring as the child and sledge decelerate.

(d)[2]

At $t = 26\,\text{s}$, when the brake is first applied, the child lurches forwards on the sledge. Explain why.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: acceleration / increase in speed and gravity / weight referred to

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