If a vector is perpendicular to the vector , then the value of α is

An engine exerts a force and moves with velocity . The power of the engine (in watt) is

A stone is tied to a string of length l and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is

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

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?

Two particles A and B are connected by a rigid rod AB. The rod slides along perpendicular rails as shown here. The velocity of A to the right is 10 m/s. What is the velocity of B when angle α = 60°?

Which of the following is not a vector quantity?

What is the linear velocity if angular velocity vector and position vector ?

An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rev/min, the acceleration of a point on the tip of the blade is

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