If a unit vector is represented by , then the value of c is
1
√0.11
√0.01
0.39
A particle moves along a circle of radius with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begun, the tangential acceleration is
160 π m/s2
40 m/s2
40 π m/s2
640 π m/s2
A body constrained to move in Y-direction is subjected to a force given by . What is the work done by this force in moving the body through a distance of 10 m along Y-axis?
190 J
160 J
150 J
20 J
What is the linear velocity if angular velocity vector and position vector ?
A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be
2 mv
mv √2
zero
Two bodies of same mass are projected with the same velocity at an angle 30° and 60° respectively. The ratio of their horizontal ranges will be
1 : 1
1 : 2
1 : 3
1 : √2
A body is whirled in a horizontal circle of radius 20 cm. It has an angular velocity of 10 rad/s. What is its linear velocity at any point on circular path?
√2 m/s
2 m/s
10 m/s
20 m/s
When milk is churned, cream gets separated due to
centripetal force
centrifugal force
frictional force
gravitational force
A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are (√3, 3). The path of the particle makes with the x-axis an angle of
30°
45°
60°
0°
When a body moves with a constant speed along a circle
its velocity remains constant
no force acts on it
no work is done on it
no acceleration is produced it
