D. 2πmv 2 (Total 1 mark)
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1 1. A particle of mass m is moving with constant speed v in uniform circular motion. What is the total work done by the centripetal force during one revolution? A. Zero B. 2 mv 2 C. mv 2 D. 2πmv 2 2. A stone attached to a string is moving in a horizontal circle. The constant speed of the stone is v. The diagram below shows the stone in two different positions, X and Y. Which of the following shows the direction of the change of velocity of the stone when moving from position X to position Y? IB Questionbank Physics 1
2 3. A particle P is moving anti-clockwise with constant speed in a horizontal circle. Which diagram correctly shows the direction of the velocity v and acceleration a of the particle P in the position shown? IB Questionbank Physics 2
3 4. A ball moves along the inside of a horizontal semi-circular ring as shown. The diagram is a view from above. Which arrow represents the direction of the average force on the ball? IB Questionbank Physics 3
4 D. 16 m s 1 16 m s 1 5. A car moves from X to Y along a semicircular path. The radius of the path is 250 m and the time taken to complete the trip is 50 s. Which of the following correctly shows the magnitude of the average velocity and the magnitude of the average speed? Average velocity Average speed A. 10 m s 1 10 m s 1 B. 10 m s 1 16 m s 1 C. 16 m s 1 10 m s 1 IB Questionbank Physics 4
5 6. An aircraft is flying at constant speed in a horizontal circle. Which of the following diagrams best illustrates the forces acting on the aircraft in the vertical plane? 7. A spherical planet of uniform density has three times the mass of the Earth and twice the average radius. The magnitude of the gravitational field strength at the surface of the Earth is g. What is the gravitational field strength at the surface of the planet? A. 6 g 2 B. g 3 3 C. g 4 3 D. g 2 IB Questionbank Physics 5
6 8. The weight of an object of mass 1 kg at the surface of Mars is about 4 N. The radius of Mars is about half the radius of Earth. Which of the following is the best estimate of the ratio below? A. 0.1 B. 0.2 C. 5 mass of Mars mass of Earth D A small sphere X of mass M is placed a distance d from a point mass. The gravitational force on sphere X is 90 N. Sphere X is removed and a second sphere Y of mass 4M is placed a distance 3d from the same point mass. The gravitational force on sphere Y is A. 480 N. B. 160 N. C. 120 N. D. 40 N. 10. In Newton s universal law of gravitation the masses are assumed to be A. extended masses. B. masses of planets. C. point masses. D. spherical masses. IB Questionbank Physics 6
7 11. This question is about circular motion. A ball of mass 0.25 kg is attached to a string and is made to rotate with constant speed v along a horizontal circle of radius r = 0.33 m. The string is attached to the ceiling and makes an angle of 30 with the vertical. (a) (i) On the diagram above, draw and label arrows to represent the forces on the ball in the position shown. (ii) State and explain whether the ball is in equilibrium. IB Questionbank Physics 7
8 (b) Determine the speed of rotation of the ball (3) (Total 7 marks) 12. This question is about forces. A solid iron ball of mass 770 kg is used on a building site. The ball is suspended by a rope from a crane. The distance from the point of suspension to the centre of mass of the ball is 12 m. (a) Calculate the tension in the rope when the ball hangs vertical and stationary (1) (b) The ball is pulled back from the vertical and then released. It falls through a vertical height of 1.6 m and strikes a wall. IB Questionbank Physics 8
9 (i) Calculate the speed of the ball just before impact. (ii) Calculate the tension in the rope just before impact. (3) (c) The ball is brought to rest in 0.15 s. The sketch graph below shows how the force the ball exerts on the wall varies with time. (i) State what quantity is represented by the area under the graph. (1) IB Questionbank Physics 9
10 (ii) Determine the maximum force F max exerted by the ball on the wall. (3) (Total 10 marks) 13. This question is about gravitational fields. (a) Define gravitational field strength IB Questionbank Physics 10
11 (b) The gravitational field strength at the surface of Jupiter is 25 N kg 1 and the radius of Jupiter is m. (i) Derive an expression for the gravitational field strength at the surface of a planet in terms of its mass M, its radius R and the gravitational constant G. (ii) Use your expression in (b)(i) above to estimate the mass of Jupiter. (Total 6 marks) IB Questionbank Physics 11
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