Define power.
- (a)Define power.[1]
- (b)(i)A car of mass 1700 kg moves in a straight line along a slope that is at an angle θ to the horizontal, as shown in [Figure 3.1]. The car moves at constant velocity for a distance of 25 m from point A to point B. Air resistance and friction provide a total resistive force of 440 N that opposes the motion of the car. For the movement of the car from A to B: (i) state the change in the kinetic energy change in kinetic energy = ...................................................... J[1]
- (b)(ii)(ii) calculate the work done against the total resistive force. work done = ...................................................... J[1]
- (c)(i)The movement of the car in (b) from A to B causes its gravitational potential energy to increase by 4.8 × 10⁴ J. Calculate: (i) the increase in vertical height h of the car for its movement from A to B h = ............................................................ m[2]
- (c)(ii)(ii) angle θ. θ = ............................................................ °[1]
- (d)The engine of the car in (b) produces an output power of 1.7 × 10⁴ W to move the car along the slope. Calculate the time taken for the car to move from A to B. time = ............................................................ s[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [B1] work (done) / time (taken)
- [A1] zero / 0 J
- [A1] work done = 440 × 25 = 1.1 × 10⁴ J
- [C1] (Δ)E(P) = mg(Δ)h
- [A1] h = 4.8 × 10⁴ / (1700 × 9.81) = 2.9 m
- [A1] θ = sin⁻¹ (2.9/25) = 6.7°
- [C1] work done = 4.8 × 10⁴ + 1.1 × 10⁴ (= 5.9 × 10⁴ J)
- [A1] time = 5.9 × 10⁴ / 1.7 × 10⁴ = 3.5 s
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