A cylinder of mass 10kg is sliding on a plane with an initial velocity of 10m/s. If coefficient of friction between surface and cylinder is 0.5, then before stopping it will describe . [Pb. PMT 2001]

It is easier to draw up a wooden block along an inclined plane than to haul it vertically, principally because . [CPMT 1977; JIPM]

A block of mass M is hanging over a smooth and light pulley through a light string. The other end of the string is pulled by a constant force F. The kinetic energy of the block increases by 20J in 1s. Then

The force acting on a particle of mass 1kg, starting from rest from the origin, is shown in the figure. The velocity of the particle at x=2 m is

A body of mass 5 kg is placed at the origin, and can move only on the x-axis. A force of 10 N is acting on it in a direction making an angle of with the x-axis and displaces it along the x-axis by 4 metres. The work done by the force is . [MP PET 2003]

A ball of mass m moves with speed v and strikes a wall having infinite mass and it returns with same speed then the work done by the ball on the wall is . [BCECE 2004]

A block of mass M is attached with a spring of spring constant k. The whole arrangement is placed on a vehicle as shown in the figure, if the vehicle starts moving towards right with an acceleration a ( there is no friction any where) the

A force F=-k (yi + xj) where k is a positive constant, acts on a particle moving in x-y plane starting from origin, the particle is taken along the positive x-axis to the point (a, 0) and then parallel to the y -axis to the point (a,a). THe total work done by the force F on the particle is [ JEE 98]

A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the position B. The angle θ at which the speed of the bob is half of that at A, satisfies .. [ JEE 2008]

A particle is moved from (0, 0) to ( a, a) under a force F=( 3i + 4j) from two paths. Path 1 is Op and path 2 is OQP. Let W1 and W2 be the work done by this force in these two paths. Then

A block of mass 0.18 kg is attached to a spring of force constant 2N/m. the coefficient of friction between the block and the floor is 0.Initially the block is at rest and the spring is un-starched. An impulse is given to the block as shown in the figure. The block slides a distance of 0.06m and comes to rest for the first time. the initial velocity of the block is m/s is V=N/Then N is [ JEE 2011]

An ideal spring with spring constant k is hung from the celling and a block of mass M is attached to its lower end. The mass is released with the spring initially stretched. Then the maximum extension in the spring is [ JEE 2002]

A light inextensible string that goes over a smooth fixed pulley as shown in the figure connected two blocks of masses 0.36kg and 0.72kg. Taking g=10 m/s2, the work done ( in joules) by the string on the block of mass 0.36kg during the first second after the system is released from rest

A rubber ball of mass m and radius r is submerged into water of density ρ to a depth h and released. To what height the ball will jump above the surface of water? Disregard the resistance of water and air?

With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from height h so that it may reach the top of the tube? Radius of the tube is R

An object is thrown straight up. Which of the following is true about the sign of work done by the gravitational force while the object moves up and then down?

A particle is given an initial speed u inside a smooth spherical shell of radius R=1 m that it is just able to complete the circle. Acceleration of the particle when its velocity become vertical is

Which of the following is not a unit for power?

If the momentum of a body is increased n times, its kinetic energy increases

If the system in the figure is released from rest in the configuration shown, find the velocity of the block Q after it has fallen through a distance 10 metres, given mass of P=mass of Q=10 kg

The work done against gravity in taking 10 kg mass at 1m height in 1sec will be . [RPMT 2000]

A body of mass 10kg at rest is acted upon simultaneously by two forces 4 N and 3N at right angles to each other. The kinetic energy of the body at the end of 10 sec is . [Kerala (Engg.)]

A bomb of 12 kg divides in two parts whose ratio of masses is 1:If kinetic energy of smaller part is 288 J, then momentum of bigger part in kgm/sec will be

The potential energy of a conservative system is given by U(X)=(x2 - 5x) J.Then the equilibrium position is at....... (where x in m)

Two particles 1 and 2 are allowed to descend on two friction less chord OP and OQ. the ratio of the speeds of the particles 1 and 2 respectively, when they reach on the circumference is

The potential energy of a particle varies with distance x as shown in the graph. The force acting on the particle is zero at

A man starts walking from a point on the surface of earth (assumed smooth) and reaches diagonally opposite point. What is the work done by him . [DCE 2004]

Two bodies of masses m and 2m have same momentum. Their respective kinetic energies E1 and E2 are in the ratio . [MP PET 1997; KC]

The kinetic energy of a body moving a straight line varies with time as shown in fiure. The force acting on the body is

A heavy particle of mass m makes complete revolution in a smooth circular tube in a vertical plane. Its greatest speed is n times the least speed. If the least speed is u, what is the speed at the instant, when it is moving vertically?