During a game of cricket, a player hits a ball with a bat. The ball then travels vertically upwards, as shown in Fig. 8.1. The speed of the ball as it leaves the bat is 8.7 m/s. [Figure 8.1]
- (a)(i)1The mass of the ball is 0.16kg. State what is meant by mass.[1]
- (a)(i)2State the name of a measuring instrument that is used to determine mass.[1]
- (a)(ii)Calculate the kinetic energy of the ball as it leaves the bat.[3]
- (b)(i)1Fig. 8.2 is the velocity-time graph for the ball. Fig. 8.2 shows that immediately after being hit, the ball has a negative acceleration. State the name given to a negative acceleration. [Figure 8.2][1]
- (b)(i)2State how the graph shows that the ball has a negative acceleration.[1]
- (b)(ii)1Using Fig. 8.2, determine the time at which the ball stops moving upwards,[1]
- (b)(ii)2the distance travelled before the ball stops moving upwards.[2]
- (b)(iii)Suggest why the graph, in Fig. 8.2, is almost vertical when time = 1.84 s.[1]
- (b)(iv)Fig. 8.2 shows that the ball remains stationary after a time of 1.84 s. Describe the energy change that is occurring at a time of 1.84 s.[2]
- (c)For this ball moving in the way shown, the effect of air resistance is negligible. When a ball with a much smaller mass is hit vertically upwards at the same speed, air resistance produces a noticeable effect on its motion. Suggest two ways in which the velocity-time graph for the ball with a smaller mass differs from Fig. 8.2. 1. 2.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [1] quantity of matter (in a body)
- [1] balance or scales
- [1] (k.e. =) ½mv²
- [1] ½ x 0.16 x 8.7²
- [1] 6.1 J
- [1] deceleration or retardation
- [1] negative gradient or line slopes downwards (left to right)
- [1] 0.88 s < time < 0.90 s
- [1] area or counting squares or ½bh in some form
- [1] 3.7 s < distance < 4.1 m
- [1] ball hits ground or short time for deceleration or large force or ground is hard
- [1] internal / thermal energy (of ball and ground) has increased
- [1] (internal energy) from kinetic energy
- [2] any two from: smaller time to drop to zero velocity / hit ground, line not straight or velocity does not change uniformly or gradient not constant, smaller area under (first part of) graph or less distance travelled, slower final velocity, initial downward gradient steeper
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