Explain what is meant by (i) work done,

1. (a)(i)Explain what is meant by (i) work done,[1]
2. (a)(ii)(ii) kinetic energy.[1]
3. (b)(i)1A leisure-park ride consists of a carriage that moves along a railed track. Part of the track lies in a vertical plane and follows an arc XY of a circle of radius 13m, as shown in [Figure 2.1]. The mass of the carriage is 580 kg. At point X, the carriage has velocity 22ms⁻¹ in a horizontal direction. The velocity of the carriage then decreases to 12ms⁻¹ in a vertical direction at point Y. For the carriage moving from X to Y 1. show that the decrease in kinetic energy is 9.9 x 10⁴J,[2]
4. (b)(i)2A leisure-park ride consists of a carriage that moves along a railed track. Part of the track lies in a vertical plane and follows an arc XY of a circle of radius 13m, as shown in [Figure 2.1]. The mass of the carriage is 580 kg. At point X, the carriage has velocity 22ms⁻¹ in a horizontal direction. The velocity of the carriage then decreases to 12ms⁻¹ in a vertical direction at point Y. calculate the gain in gravitational potential energy.[2]
5. (b)(ii)A leisure-park ride consists of a carriage that moves along a railed track. Part of the track lies in a vertical plane and follows an arc XY of a circle of radius 13m, as shown in [Figure 2.1]. The mass of the carriage is 580 kg. At point X, the carriage has velocity 22ms⁻¹ in a horizontal direction. The velocity of the carriage then decreases to 12ms⁻¹ in a vertical direction at point Y. Show that the length of the track from X to Y is 20 m.[1]
6. (b)(iii)A leisure-park ride consists of a carriage that moves along a railed track. Part of the track lies in a vertical plane and follows an arc XY of a circle of radius 13m, as shown in [Figure 2.1]. The mass of the carriage is 580 kg. At point X, the carriage has velocity 22ms⁻¹ in a horizontal direction. The velocity of the carriage then decreases to 12ms⁻¹ in a vertical direction at point Y. Use your answers in (b)(i) and (b)(ii) to calculate the average resistive force acting on the carriage as it moves from X to Y.[2]
7. (b)(iv)A leisure-park ride consists of a carriage that moves along a railed track. Part of the track lies in a vertical plane and follows an arc XY of a circle of radius 13m, as shown in [Figure 2.1]. The mass of the carriage is 580 kg. At point X, the carriage has velocity 22ms⁻¹ in a horizontal direction. The velocity of the carriage then decreases to 12ms⁻¹ in a vertical direction at point Y. Describe the change in the direction of the linear momentum of the carriage as it moves from X to Y.[1]
8. (b)(v)A leisure-park ride consists of a carriage that moves along a railed track. Part of the track lies in a vertical plane and follows an arc XY of a circle of radius 13m, as shown in [Figure 2.1]. The mass of the carriage is 580 kg. At point X, the carriage has velocity 22ms⁻¹ in a horizontal direction. The velocity of the carriage then decreases to 12ms⁻¹ in a vertical direction at point Y. Determine the magnitude of the change in linear momentum when the carriage moves from X to Y.[3]

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