12.2. Centripetal acceleration
A subsection of Physics, 9702, through 12. Motion in a circle
Listing 6 of 6 questions
The orbit of the Earth, mass 6.0 × 1024 kg, may be assumed to be a circle of radius 1.5 × 1011m with the Sun at its centre, as illustrated in . The time taken for one orbit is 3.2 × 107s. Calculate the magnitude of the angular velocity of the Earth about the Sun, angular velocity = rad s–1 the magnitude of the centripetal force acting on the Earth. force = N Earth, mass 6.0 x 1024 kg Sun 1.5 x 1011 m [T State the origin of the centripetal force calculated in . Determine the mass of the Sun. mass = kg
9702_s05_qp_4
THEORY
2005
Paper 4, Variant 0
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State what is meant by centripetal acceleration. An unpowered toy car moves freely along a smooth track that is initially horizontal. The track contains a vertical circular loop around which the car travels, as shown in . 62 cm Y X loop track toy car mass 230 g The mass of the car is 230 g and the diameter of the loop is 62 cm. Assume that the resistive forces acting on the car are negligible. State what happens to the magnitude of the centripetal acceleration of the car as it moves around the loop from X to Y. Explain, if the car remains in contact with the track, why the centripetal acceleration of the car at point Y must be greater than 9.8 m s–2. The initial speed at which the car in moves along the track is 3.8 m s–1. Determine whether the car is in contact with the track at point Y. Show your working. Suggest, with a reason but without calculation, whether your conclusion in would be different for a car of mass 460 g moving with the same initial speed.
9702_w21_qp_42
THEORY
2021
Paper 4, Variant 2
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Define the radian. The minute hand of a clock revolves at constant angular speed around the face of the clock, completing one revolution every hour. A small piece of modelling clay is attached to the hand with its centre of gravity at a distance L from the fixed end of the hand, as shown in . L free end face of clock modelling clay direction of revolution of minute hand minute hand fixed end Calculate the angular speed ω of the minute hand. ω = rad s–1 During a time interval of 1400 s, the centre of gravity of the piece of modelling clay in moves through a total distance of 0.44 m. Calculate the angle through which the minute hand moves in this time interval. angle = rad Determine distance L. L = m Calculate the magnitude of the centripetal acceleration of the piece of modelling clay. centripetal acceleration = m s–2 Use your answer in to explain why the variation with time of the magnitude of the force exerted by the minute hand on the piece of modelling clay is negligible as the minute hand undergoes one full revolution.
9702_w23_qp_42
THEORY
2023
Paper 4, Variant 2
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Questions Discovered
6