A point B on a rigid link AB moves with respect to point A with angular velocity 1 rad/sec and the link itself has an angular acceleration 1 rad/sec2. The total acceleration of B relative to A would be directed along a direction
parallel to AB
at an angle of 90° to AB
at an angle of 45° to AB
at an angle of 60° AB
/
/
The gravitational field due to a mass distribution is in the x-direction. (K is a constant). Taking the gravitational potential to be zero at infinity, its value at a distance x is _____.
K/x
K/2x
The masses and radii of the earth and moon are and respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass m should be projected from a point midway between their centres so that it escapes to infinity is _____.
A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is _____.
R/3
R/2
R/4
R/5
and denotes the escape velocity from the earth and another planet having twice the radius and the same mean density as the earth. Then _____.
A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is _____.
Positive
Negative
Zero
May be positive or negative depending upon its initial velocity
The escape velocity of a body on the surface of the earth is 11.2 km/s. If the earth's mass increases to twice its present value and the radius of the earth become half, the escape velocity would become _____.
5.6 km/s
11.2 km/s (remain unchanged)
22.4 km/s
44.8 km/s
The velocity with which a projectile must be fired so that it escapes earth’s gravitation does not depend on _____.
Mass of the earth
Mass of the projectile
Radius of the projectile’s orbit
Gravitational constant