Gravitation Questions and Answers

Two bodies of masses m and m2 are connected by a long inextensible cord of length L The combination is allowed to fall freely towards the earth mass me the direction of the cord being always radial as shown in the figure Find a the tension in the cord and b the accelerations of m and m2 Does the cord ever become slack ignore the gravitational interaction between m and m A body is thrown up radially O me 1 U Earth m m

14 Two bodies of different masses are dropped simultaneously from the top of a tower If air resistance is proportional to the mass of the body 1 the heavier body reaches the ground earlier 2 the lighter body reaches the ground earlier 3 both reach the ground simultaneously 4 cannot be decided

bjec A body weighs 700 g on the surface of the earth How much will it weigh on the surface of a planet 1 and radius is half that of the Earth whose mass is A 200 gwt B 400 gwt C 50 gwt D 300 gwt

96 A jet airplane travelling at the speed of 500 km h ejects its products of combustion at the speed of 1500 km h relative to the jet plane The speed of the products of combustion with respect to an observer on the ground is a 500 km h c 1500 km h 1 b 1000 km h 1 d 2000 km h 1

terk in 2 DOUR ZUS A person moves 30 m along north direction then moves 40 m along east direction and ally 20 m along south direction Find distance displacement covered Three girls skating on a circular ice ground of radius 200 m start from a point P on the edge of the ground and reach a point Q diametrically opposite to P following different paths as shown in figure What is the magnitude of the displacement for each For which girl this is equal to the actual length of path skate

For the 2 short answer ranking questions you will use the information from the pictures to answer the questions You must show your work 2 points rank the letters correctly 1 point and carefully explain your reasoning and or the equation you used for your answers 1 point The figures below all represent different size balls thrown upwards at different speeds A D Ball A mass 450 g speed 35 m s Ball D mass 650 g speed 40 m s B E Ball B mass 650 g speed 25 m s Ball E mass 250 g speed 35 m s C F Ball C mass 550 g speed 30 m s Ball F mass 400 g speed 45 m s 1 List the balls in order from lowest to highest below based on their maximum heights 2 List the balls in order from lowest to highest below based on the gravitational force exerted after being thrown

5 If the gravitational force were to vary inversely as mth power of the distance then the time period of a planet in circular orbit of radius r around the Sun will be proportional to 1 r 3m 2 3 m 1 2 2 r3m 2 4 r m 1 2

A planet in an orbit sweeps out an angle of 160 from March May when it is at an average of 140 million km from sun If the planet sweeps out an angle of 10 from October December then the average distance from sun is

9 Four moles of a gas enclosed in a container is heated at constant pressure The temperature of the gas increases by 3 C The work done by the gas is R gas constant 1 4 R 10 2 6 R 4 12 R

of e equal to the radius of the earth above the tunnel dug through the earth as shown in the figure Hence the correct statement is som 2 R seghe is forisiq YOU edi bauons OR TRIC Revivido aws e talge erit bris qille 1 Particle will oscillate through the earth to a height h R on both sides ottan 1 2 Motion of the particle is periodic 3 Motion of the particle is simple harmonic 4 Both 1 2 6 The particles A and B of mass meach are separated 3GM 2R 3 25 If potential en surface of ear energy at heig is radius of e GMm 1 R h GMml 3 R R 26 A particle V 4g F 3 particle

Assertion The weighing machine measures the weight of a body means the absence of Reason Weightlessness weight 1 A 2 B 3 C 4 D

Panton 2 Two plane mirrors are placed back to back They are then opened out slowly to form a wedge their reflecting surfaces lying on the outside A beam of parallel light becomes incident on the edge of the wedge The two beams reflected from its faces are found to make an angle of 100 with each other Determine the angle between the mirrors Ans 50

D The distance between the centres of the earth and the moon is 60 times the radius of the earth Calculate the centripetal acceleration of the moon Acceleration due to gravity on the earth s surface 10 ms

01 The acceleration due to gravity at height R above the surface of the earth is g 4 The periodic time of a simple pendulum in an artificial satellite at this height will be 1 T 2 21 g 2 T 2n 1 2g 3 Zero 4 Infinity

A solid sphere of uniform density and radius 4m is located with its centre at the origin O of coordinate system Two spheres of equal radius 1m with their centres at A 2m 0 0 and B 2m 0 0 are taken out of the solid sphere leaving behind spherical cavities as shown in the figure Then gravitational potential at the centre of the sphere is Vo GX volts Fill X in your answer sheet Given G 10 1 Nm kg 20 3

The gravitational force of attraction between a uniform sphere of mass M and a uniform rod of length and mass m as shown in figure is GMm a r r l c Mmr M 1 111 b GM 2 d 1mM