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 15.0 N to stretch either one of these bands 1.00 cm. (a) What is the potential energy stored in the two bands together when a 50.0- g stone is placed in the cup and pulled back 0.200 m from the equilibrium position? (b) With what speed does the stone leave the slingshot?

1. A 5.00-kg block is set into motion up an inclined plane with an initial speed of v; = 8.00 m/s. The block comes to rest after traveling 3.00 m along the plane, which is inclined at an angle of 30.0° to the horizontal. For this motion determine (a) the change in the block's kinetic energy, (b) the change in the potential energy of the block- Earth system, and (c) the friction force exerted on the block (assumed to be constant). (d) What is the coefficient of kinetic friction?

A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural length of 10 inches. Determine the work done in stretching the spring from its natural length to 16 inches. 6 1 A W = x dx 3 B none of the choices 4 3 ⒸW= x dx 2 0 6 D ³ſº 0 4 352 E 0 W = 3 W = 3 X - dx 2 2 x dx

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?

1. A 2kg object is hanging from a rope that makes an angle of 30 degrees with the horizontal. The object is pulled by a force of 10N at an angle of 60 degrees with the horizontal. Using the laws of motion and vector analysis, determine the acceleration of the object, the tension in the rope, and the work done by the force during a displacement of 2m.

A 8.3 kg block is connected to a light spring with k = 214 N/m on a horizontal rough (us = 0.14, pk = 0.345) surface. The spring is initially at its equilibrium position and the block is at rest. Nadia then comes along and pulls the block horizontally and stretches the spring out. When she stretches the spring out by 32 cm, she holds the block there at rest. How much work (J) did she do on the block from when she first started pulling? Give answer out to second place past the right of the decimal. No units %3! !! necessary. Nadia pulls the block rough

As shown in the figure below, three blocks with masses m₁ = 4.8 kg, m2 = 14 kg, and m3 = 18 kg, respectively, are attached by strings over frictionless pulleys. 1711 m2 ms The horizontal surface exerts a 32 N force of friction on m2. If the system is released from rest, use energy concepts to find the speed (in m/s) of m3 after it moves down 3.0 m. m/s

Yosemite Falls in California is about 0.740 km high. What average power would it take for a 73.0-kg person to hike up to the top of Yosemite Falls in 1.50 h?