Work-Energy

A 100 kg sled slides on a horizontal ice track with an initial velocity of 6 m/s. The sled does 1000 J of work against sliding friction.

A cord runs around two massless, frictionless pulleys as shown in the figure. A canister of mass $m$ hangs from the movable pulley. You exert a force $\vec{F}$ on the free end of the cord.

A car of mass $m$ travels along a horizontal road with velocity $v$. After braking, all four wheels lock and the car skids to a stop due to friction. The coefficient of kinetic friction between the tires and the ground is $\mu$.

A person uses a fixed pulley to lift a 60 kg cargo from the ground.

A uniform chain of total mass $m$ and length $L$ is held on a frictionless horizontal table. A fraction $1/n$ of the chain's length hangs over the edge.

A block of mass $m$ slides along a track with an initial speed $v_0$. The track is frictionless until the block reaches a higher level, at a height $h$ above the starting point. On this higher level, the coefficient of kinetic friction is $\mu_k$. The block slides a distance $d$ on this frictional surface before coming to rest.

A child of weight $W$ slides down a playground slide of length $L$. The slide makes an angle $\theta$ with the horizontal. The coefficient of kinetic friction between the slide and the child is $\mu_k$. The child starts at the top with an initial speed $v_i$.

As shown in Figure below, a small block slides down an incline from point A and finally stops at point B on a horizontal plane. It is known that point A is at a height H above point B, and the horizontal distance between A and B is s. The incline and the horizontal plane are made of the same material.

An object on a horizontal surface is moved from rest over the same distance $d$ in two different ways. Case 1: It is pulled by a force $F$ at an angle $\theta$ above the horizontal. Case 2: It is pushed by a force $F$ of the same magnitude at the same angle $\theta$ below the horizontal.

As shown in the figure, a small object slides along a track that is curved up at both ends and has a flat middle section. The length of the flat section is 2.0 m. The curved parts are frictionless, and the coefficient of kinetic friction on the flat part is 0.20. The object is released from rest at point A, which is at a height $h = 1.0$ m above the flat section.