CfE Higher Homework Our Dynamic Universe Homework 5 – Newton’s Laws 1. A lift of mass 600kg, carrying 3 people, with a mass of 70kg, 85kg and 68kg, travels upwards at a constant speed. Calculate the tension in the cable that pulls the lift upwards. (2) 2. A car of mass 600 kg is accelerated from rest to 20 m s 1 in 15 seconds. (a) What is the size of the resultant force acting on the car? (3) (b) How far does the car travel in these 15 seconds? (3) 3. (a) (b) (c) 4. A rocket of mass 5·0 × 10 4 kg is launched vertically upwards from the surface of the Earth. Its engines produce a constant thrust of 8·0 × 10 6 N. (i) Draw a diagram showing all the forces acting on the rocket just after take-off. (2) (ii) Calculate the initial acceleration of the rocket. (3) As the rocket rises the thrust remains constant but the acceleration of the rocket increases. Give three reasons for this increase in acceleration. (3) Explain in terms of Newton’s laws of motion why a rocket can travel from the Earth to the Moon and for most of the journey not burn up any fuel. (1) A crate of mass 200 kg is placed on a balance, calibrated in Newtons, in a lift. (a) What is the reading on the balance when the lift is stationary? (1) 2 (b) The lift now accelerates upwards at 1·50 m s . What is the new reading on the balance? . (2)