Fig. 9.1 shows a parachutist falling vertically towards the ground. [Figure 9.1] The mass of the parachutist is 60 kg and his weight is 600 N.
- (a)(i)State what is meant by: mass[1]
- (a)(ii)State what is meant by: weight.[1]
- (b)Calculate the acceleration of the parachutist when the air resistance is 200 N.[3]
- (c)(i)The parachutist falls from rest at time t = 0. He accelerates non-uniformly until he reaches a terminal velocity of 44 m/s at t = 30 s. At t = 40 s the parachute opens. He decelerates for 4.0 s, reaching a smaller terminal velocity of 5.0 m/s. He then falls at this speed until he lands on the ground at t = 200 s. On Fig. 9.2, draw the speed-time graph for the parachutist.[4]
- (c)(ii)Calculate the average deceleration of the parachutist between t = 40 s and t = 44 s.[2]
- (d)(i)Explain, in terms of the forces involved, why: the parachutist reaches a terminal velocity at t = 30 s[1]
- (d)(ii)Explain, in terms of the forces involved, why: the parachutist decelerates when the parachute opens[2]
- (d)(iii)Explain, in terms of the forces involved, why: the second terminal velocity, when the parachute is open, is smaller than the first.[1]
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Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [1] amount/measure / quantity of matter / substance (in a body) or (property of a body) that resists (change in) motion
- [1] force / pull of gravity or in a gravitational field
- [1] (a =) F / m algebraic or numerical or 400 (N) seen
- [1] 400/60
- [1] 6.7 m/s²
- [1] initial curve of correct shape from origin at 0 to 30 s
- [1] horizontal line at 44 m/s from 30 s to 40 s
- [1] speed drops from 44 to 5 m/s in a time of 4 s
- [1] constant speed of 5 m/s until 200 s (and then to zero)
- [1] (a =) (v - u) / t algebraic or numerical
- [1] 9.7 or 9.8 m/s²
- [1] upwards force / air resistance = weight / downward force
- [1] increase in air resistance / upwards force (from parachute)
- [1] upwards / force / air resistance larger than weight / downwards force or resultant force upwards
- [1] air resistance decreases (as speed reduces) until it equals weight or (with parachute open) air resistance = weight at lower speed
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