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Mechanics 1 Applying Newton’s second law along a line Section 1: Introduction Multiple Choice test Throughout this test, assume g = 9.8ms −1 1) The force needed to accelerate a particle of mass 5 kg at 2 ms-2 is (a) 10 N (c) 2.5 N (e) I don’t know (b) 98 N (d) 0.04 N 2) A force of 200 N acts on a car of mass 800 kg. The acceleration of the car is (a) 4 ms-2 (c) 0.25 ms-2 (e) I don’t know (b) 16000 ms-2 (d) 0.025 ms-2 3) A lift of mass 200 kg is moving upwards at a constant velocity of 2 ms-1. The tension in the rope lifting the lift is (a) 400 N (c) 1560 N (e) I don’t know (b) 2360 N (d) 1960 N 4) The tension in a cable, which is lifting a load with an acceleration of 1.2 ms-2, is 11000 N. The mass of the load is (a) 9167 kg (c) 1000 kg (e) I don’t know (b) 98000 N (d) 13200 kg 5) During lift-off an a 100 kg astronaut experiences a contact force of 8000 N from the seat. The acceleration of the rocket is (a) 80 ms-2 (c) 70.2 ms-2 (e) I don’t know (b) 8.98 ms-2 (d) 47 ms-2 © MEI, 28/10/05 1/5 Mechanics 1 6) The force required to accelerate a car of mass 800 kg at 2ms-2 against a resistance of 1000 N is (a) 600 N (c) 400 N (e) I don’t know (b) 2600 N (d) 900 N 7) A tug tows a barge of mass 10 000 kg with an acceleration of 0.1 ms-2. The water resistance to the movement of the barge is 1000 N. The towrope is horizontal. The tension in the rope is (a) 2000 N (c) 1500 N (e) I don’t know (b) 3000 N (d) 980 N 8) A lorry weighing 3 tonnes is travelling at 10 ms-1. The force needed to stop it in 10 seconds is (a) 306 N (c) 29400 N (e) I don’t know (b) 2000 N (d) 3000 N 9) A lorry weighing 3 tonnes is travelling at 10 ms-1. The force needed to stop it in 10 m is (a) 600 N (c) 1531 N (e) I don’t know (b) 15000 N (d) 568 N 10) A miners’ cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage is lowered from rest by a cable. For the first 10 seconds the cage accelerates uniformly and descends a distance of 75 m. The force in the cable during the first 10 seconds is (a) 5250 N (c) 5810 N (e) I don’t know (b) 6860 N (d) 7910 N © MEI, 28/10/05 2/5 Mechanics 1 Applying Newton’s second law along a line Section 1: Introduction Multiple choice test solutions © MEI, 28/10/05 3/5 Mechanics 1 © MEI, 28/10/05 4/5 Mechanics 1 © MEI, 28/10/05 5/5