Laws of Motion ...

In the given figure a block of weight $$10 N$$ is resting on a horizontal surface. The coefficient of static friction between the block and the surface is $$\mu_s = 0.4$$. A force of $$3.5 N$$ will keep the block in uniform motion, once it has been set in motion. A horizontal force of $$3 N$$ is applied to the block, then the block will

A bob hangs from a rigid support by an inextensible string of length $$\ell$$. If it is displaced through a distance $$\ell$$ (from the lowest position) keeping the string straight, & then released. The speed of the bob at the lowest position is:

A ball of mass 50 gm is dropped from a height h = 10 m. It rebounds losing 75 percent of its kinetic energy. If it remains in contact with the ground for At =0.01 sec, the impulse of the impact force is
(take 9 = 10 $$m/s^2$$)

A metal block is resting on a rough wooden surface. A horizontal force applied to the block is increased uniformly. Which of the following curves correctly represents velocity of the block ?

A block of mass $$2 kg$$ is placed on the floor. The coefficient of static friction is $$0.4$$. Force of $$2.8N$$ is applied on the block. The force of friction between the block and the floor is (Taken $$g = 10m/s^2$$)

A particle slides from rest from the topmost point of a vertical circle of radius ($$r$$) along a smooth chord making an angle $$(\theta)$$ with the vertical the time of decent is 

A body of mass M is kept on a rough horizontal surface (friction coefficient =$$\mu$$ ). A person is trying to pull the body by applying a horizontal force but the body is not moving. The force by the surface on A is F where

A hammer weighing 3 kg, moving with a velocity of 10 m/s, strikes against the head of a spike and drives it into a block of wood. If the hammer comes to rest in 0.025 s, the impulse associated with the spike will be :

A ball comes back after an elastic collision with a wall, If initial momentum of the ball is P, the impulse on the wall after the collision is :

A bead is free to slide down a smooth wire tightly stretched between points $$A$$ and $$B$$ on a verticle circle of radius $$R$$. If the bead starts from rest at '$$A$$', the highest point on the circle, its velocity when it arrives at $$B$$ is