A ball is hung by a string from the ceiling of a car moving on a straight and smooth road. If the string is inclined towards the front side of the car making a small constant angle with the vertical, then the car is moving with
constant velocity
constant acceleration
constant retardation
increasing acceleration
A girl in a swing is 2.5 m above ground at the maximum height and at 1.5 m above the ground at the lowest point. Her maximum velocity in the swing is (g = 10 ms-2)
The position of a particle of mass 4 g, acted upon by a constant force is given by x = 4 t2, where x is in metre and t in second. The work done during the first 2 s is
128 mJ
512 mJ
576 mJ
144 mJ
The shape of the curve representing the relation between the speed and kinetic energy of a moving object is
parabola
ellipse
straight line with positive slope
straight line with negative slope
A billiard ball of mass m and radius r, when hit in a horizontal direction by a cue at a height h above its centre, acquired a linear velocity v0. The angular velocity ω0 acquired by the ball is
A carpet of mass m made of inextensible material is rolled along its length in the form of a cylinder of radius r and kept on a rough floor. The decrease in the potential energy of the system, when the carpet is unrolled to a radius without sliding is (g = acceleration due to gravity)
C.
The decrease in the potential energy of the system
An artificial satellite moving in a circular orbit at a distance h from the centre of the earth has a total energy E0. Its potential energy is
− E0
1.5 E0
E0
2 E0
Two identical spheres of radius R made of the same material are kept at a distance d apart. Then the gravitational attraction between them is proportional to
d-2
d2
d4
d
Choose the wrong statement
The bulk modulus for solids is much larger than for liquids
Gases are least compressible
The incompressibility of the solids is due to the tight coupling between neighbouring atoms
The reciprocal of the bulk modulus is called compressibility