A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between
14 m/s and 15 m/s
15 m/s and 16 m/s
16 m/s and 17 m/s
13 m/s and 14 m/s
For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is
Escape velocity from earth is 11.2 km/s. Another planet of same mass has radius 1/4 times that of earth. What is the escape velocity from another planet ?
11.2 km/s
44.8 km/s
22.4 km/s
5.6 km/s
The largest and the shortest distance of the earth from the sun are r1 and r2. Its distance from the sun when it is perpendicular to the major axis of the orbit drawn from the sun.
A body attains a height equal to the radius of the earth. The velocity of the body with which it was projected is
The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B, A man jumps to a height of 2 m on the surface of A. What is the height of jump by the same person on the planet B ?
6 m
18 m
A planet is moving in elliptical orbit around the sun. If T, U, E and L stand for its kinetic energy, gravitational potential energy, total energy and magnitude of angular momentum about the centre of force, which of the following is correct?
T is conserved.
U is always positive.
E is always negative.
L is conserved but direction of vector L changes continuously.
What will be the formula of the mass in terms of g, R and G? (R = radius of earth)
g2 R/G
G R2/g
G R/g
g R2/G
A body of mass m is placed on earth's surface. It is then taken from earth's surface to a height h = 3R, then the change in gravitational potential energy is
The period of revolution of planet A round the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun ?
5
4
3
2