A slingshot consists of a light leather cup containing a stone. The cup is pulled back against two parallel rubber bands. It takes a force of 15 N to stretch either one of these bands 1.0 cm. (a) What is the potential energy stored in the two bands together when a 53-g stone is placed in the cup and pulled back 0.20 m from the equilibrium position?  J (b) With what speed does the stone leave the slingshot?  m/s

A 5.80-kg block is set into motion up an inclined plane with an initial speed of v₁ = 8.20 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 0 = to the horizontal. V. (a) For this motion, determine the change in the block's kinetic energy. (b) For this motion, determine the change in potential energy of the block-Earth system. (c) Determine the friction force exerted on the block (assumed to be constant). N (d) What is the coefficient of kinetic friction?

Starting from rest at t = 0, a 5.0-kg block is pulled across a horizontal surface by a constant horizontal force having a magnitude of 12 N. If the coefficient of friction between the block and the surface is 0.20, at what rate is the 12-N force doing work at t = 5.0 s? 26 kW 0.12 kW 0.14 kW 12 kW 0.13 kW

Two 37.0-lbm twins are playing in their backyard. One toddler is running full speed at 5.5 mph and his path will take him directly into a brick wall. His sister has climbed a 3.5-ft ladder and is perched precariously atop it. Calculate the kinetic and potential energies of the two twins with respect to their stationary destinations (the wall and the ground). Boy Girl i KE (lbf.ft) PE (lbf.ft) If potential energy is completely converted to kinetic energy during the girl's fall, how fast will she be travelling upon impact? mph

A 12.0 kg box is given an initial push that starts it sliding across the floor. It eventually comes to a stop. If the box has an initial velocity of 3.5 m/s, how much work is done by friction to cause it to come to a stop? (Yes, you are correct, you do not know the coefficient of friction.)

Samantha pushes a 113 kgkg crate on a ramp that makes 8.59 degreesdegrees with the horizontal. What is the change in potential energy of this crate after Samantha pushes it for 10.0 mm along the ramp? (The answer choices have 3 significant figures.)

A 7.80-g bullet moving at 590 m/s penetrates a tree trunk to a depth of 5.60 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet. N=(b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving. s=