P is the point of contact of a wheel and the ground. The radius of wheel is 1 m. The wheel rolls on the ground without slipping. The displacement of point P when wheel completes half rotation is
2 m
π m
The maximum range of a gun of horizontal terrain is 16 km. If g = 10 ms-2 , then muzzle velocity of a shell must be
160 ms-1
200√2 ms-1
400 ms-1
800 ms-1
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
Find the torque of a force acting at the point .
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
For angles of projection of a projectile at angles (45°-θ), the horizontal ranges described by the projectile are in the ratio of
1 : 1
2 : 3
1 : 2
2 : 1
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 : 3
1 : √2
The vectors and are such that | + | = | - | then angle between the two vectors will be
45°
60°
75°
90°
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
A person swims in a river aiming to reach exactly opposite point on the bank of a river. His speed of swimming is 0.5 m/s at an angle 120° with the direction of flow of water. The speed of water in stream is
1.0 m/s
0.5 m/s
0.25 m/s
0.43 m/s
