There is no atmosphere on the Moon. An astronaut on the Moon drops a feather and a hammer from the same height at the same time. They both accelerate downwards at 1.6m/s² and they hit the ground at the same time.
- (a)The weight of the hammer is much larger than that of the feather. Explain, in terms of their weights and masses, why their accelerations are equal.[3]
- (b)(i)Both the feather and the hammer take 1.5s to fall to the ground from rest. Calculate the speed of the objects as they hit the ground.[2]
- (b)(ii)On Fig. 1.1, draw the speed-time graph for the fall. At the correct position on the y-axis, write the value of the speed at time t = 1.5s.[1]
- (b)(iii)Using the speed-time graph in (b)(ii), determine the height from which the objects are dropped.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [B1] weight is directly proportional to mass or W = mg
- [B1] a larger force acts on the more massive body or a = F/m or a = W/m
- [B1] mass cancels or acceleration inversely proportional to mass
- [C1] (Δv =) at or 1.6 x 1.5
- [A1] 2.4 m/s
- [B1] 2.4 marked on y-axis and straight line from (0, 0) to (1.5, 2.4)
- [C1] ½ x 2.4 x 1.5 or area under the graph mentioned / attempted
- [A1] 1.8 m
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