An archer pulls her bowstring back 0.360 m by exerting a force that increases uniformly from zero to 232 N. (a) What is the equivalent spring constant of the bow?N/m(b) How much work does the archer do in pulling the bow?J

26. ao The drawing shows three situations in which a block is attached to a spring. The position labeled “O m" represents the unstrained position of the spring. The block is moved from an initial position x, to a final position x, the magnitude of the displacement being denoted by the sym- bol s. Suppose the spring has a spring constant of k = 46.0 N/m. Using the data provided in the drawing, determine the total work done by the restoring force of the spring for each situation. Position of box when (a) spring is unstrained Om +1.00 m +3.00 m (b) -3.00 m Om +1.00 m -3.00 m Om +3.00 m

A compressed spring has the potential energy of 20 J and its spring constant is 200 N/m. Calculate the displacement or extension of the spring.

After the first snow of the year, you decide to go sledding. You find a hill that is 39 m high to slide down. After a couple trips, you want to go faster, so you rig up a bungee cord to give you a head start N at the top of the hill. The bungee cord can be treated as a spring with a spring constant of 160 You have a mass of 90 kg and you compress your "spring" by a distance of 1.9 m before beginning your ride. There is no friction at the top of the hill or on the hill. Bungee/spring Conservation of Energy Straw-covered portion What is your speed at the top of the hill after you leave the "spring"? m Vtop = What is your speed after sliding to the bottom of the hill? Vbottom = S At the bottom of the hill, you reach a horizontal section where the ground is covered in straw. This straw adds friction to slow the sled down. The coefficient of kinetic friction between the ground and the sled is 0.68. How far do you slide along the straw until you come to a complete stop? d =

A 0.90 kg brick compresses a spring 0.35 meters at point A and the spring has a spring constant of 75 N/m. How much elastic potential energy does the brick possess? A В hA = 0 he = 0 VA = 0 Vв > 0 A 3.20 Joules 984 Joules 4.59 Joules 675 Joules O O O O

An archer pulls her bowstring back 0.408 m by exerting a force that increases uniformly from zero to 215 N. (a) What is the equivalent spring constant of the bow? N/m (b) How much work does the archer do on the string in drawing the bow?

1.The work required to stretch a certain spring from an elongation of 4.00 cm to an elongation of 5.00 cm is 30.5 J. (a) Is the work required to increase the elongation of the spring from 5.00cm to 6.00 cm greater than, less than, or equal to 30.5 J?Draw and Explain. (b)Verify your answer to part (a) by calculating the required work.

Nadia's parents have just bought her a trampoline. She can already reach a height of 1.2 m. If Nadia's mass is 50 kg, determine: a. With the conservation of energy, the speed at which it is thrown through the air to reach the height of 1.2m. b. The elasticity constant of the trampoline if it compresses like a spring, over 0.4 m after Nadia has jumped on it.

QUESTION 9 When a spring is compressed or stretched, the elastic potential energy (U=1/2kx²) of the spring: Oa. Stays constant Ob. Decreases Oc Increases Od. Either positive or negative

The spring constant of a spring is 100 N/m. A force of 10 N stretches the spring by 10 cm. How much potential energy is stored in the spring? а. О.3] b. 0.2J c. 0.4J d. 0.5J