RI Y5 Remedial Circular Motion Assignment

Raffles Institution Physics Department Y5 H2 Physics Term 3 Remedial 1 Chapter 6: Motion in a Circle Suggested Problem-S olving Strategy: Analysis of forces Step 1: Draw the Free-Body Diagram. Application of N2L Step 2: Identify the centre of the circular motion. Step 3: Apply ∑F 2 2vm or mrr ω= along the radial direction Form other supporting equations Step 4: for horizontal circular motion: apply ∑F = 0(vertical direction). for vertical circular motion/ any circular motion involve change in radius: apply COE. Please note the following when drawing FBD • DO NOT draw the centripetal force in the FBD. It is not a force but rather the other forces provide the centripetal force. • For vertical circular motion, the FBD must be drawn at the correct position required by the question. 1 An astronaut is riding in a space capsule in a circular orbit about the Earth at a constant speed as shown in the diagram. The resultant force on the astronaut is A zero as the astronaut experience weightlessness. B equal to the magnitude of the normal force exerted by the seat on the astronaut. C less than his weight, but between his weight and the normal force exerted by the seat on the astronaut. D the gravitational force on the astronaut. Earth v astronaut orbit of space capsule

Raffles Institution Physics Department Y5 H2 Physics Term 3 Remedial 2 Worked Example 1 A car is moving in a horizontal circular path. Which diagram shows the acceleration of the car at the instant when it is slowing down? 2 Satellites are moving in circular orbits around the Earth. What is the relationship between the radii r of their orbits and their speeds v? A 2∝vr B ∝vr C 2 1∝v r D 2 1∝v r 3 One end of a light, inextensible string is attached to the handle of a pail of water which has a total weight of 2.5 N. The other end is held by a hand which swings the pail in a vertical circle (the hand remains at the same position as it swings the pail of water in the vertical circle). If the pail undergoes uniform circular motion and the maximum tension of the string is 10.0 N, the minimum tension of the string is A 10.0 N B 7.5 N C 5.0 N D 0.0 N A B C D

Raffles Institution Physics Department Y5 H2 Physics Term 3 Remedial 3 4 A space laboratory is rotating to create artificial gravity as shown in the figure below. Its period of rotation is chosen so that the outer ring (ro = 2150 m) simulates the acceleration due to gravity on Earth (9.81 m s−2). What should be the approximate radius r1 of the inner ring, so that it simulates the acceleration due to the gravity on the surface of Mars (3.72 m s−2)? A 700 m B 800 m C 900 m D 1000 m