As shown in the figure below, a box of mass  m = 9.80 kg is sliding across a horizontal frictionless surface with an initial speed  vi = 3.70 m/s when it encounters a spring of constant k = 2250 N/m. The box comes momentarily to rest after compressing the spring some amount xc. Determine the final compression xc (in m) of the spring.

A 0.200-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with a light spring of force constant 3.70 N/m located at the end of the track. (a) What is the spring's maximum compression if the track is frictionless? (b) If the track is not frictionless, would the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)? O greater O less O equal

UNIT 2, HW 3 (Due Fri. 9/22) Name: Lab Section 1. A bow is drawn back such that it is storing 90 J of elastic potential energy (EPE). An arrow with a mass of 0.03 kg is released from this bow. Assume the bow acts as an ideal spring. (a) What is the kinetic energy (KE) of the bow/arrow system once the bow is released and reaches its equilibrium position? [no E-S-A necessary] (b) What is the speed of the arrow as the bow reaches its equilibrium position? [E-S-A...Round to the 0. 1 m/s]

A 0.19 kg mass is held at rest against a compressed spring with a spring constant of 103 N/m. When released, the mass leaves the spring with a speed of 6.28 m/s. Assuming that the spring force is wholly responsible for changing the motion of the mass, by what distance was the spring initially compressed from its equilibrium position? Enter a number with 3 decimal places

A 400-g ball is thrown vertically upward at 2.0 m / s from a position that is 80 cm on a vertical spring resting on the floor. The ball rises first and then falls on the spring, whose spring constant is 400 N / m. Calculate (a) the speed of the ball as it touches the spring; (b) the maximum compression that the compressed spring undergoes by the ball. Neglect friction with air

M d H h A shipping company designed a new system to fill their delivery trucks. They are using a spring of stiffness coefficient k-2000 N/m to accelerate packages of mass m=3.5 kg up a ramp of length d=8 m, has kinetic friction coefficient u=0.5, and makes an angle of 0=45° above the horizontal. a) If the spring is compressed a distance x=0.7 m prior to launching a package, how much energy does the package have before launching up the ramp? b) Does the package lose any energy as it goes up the ramp? If so, how much? If not, why? c) At what speed will the package leave the ramp? d) If end of the ramp is H=5.66 m above the ground and the truck's bed is h=1.2 m above the ground, at what distance, L, should the truck park from the end of the ramp so the packages land in its bed?

An ideal spring with k = 8 N/m is initially compressed 0.40 m. One end is attached to a wall and the other is attached to a 1.0 kg block. The block is released from rest and slides 0.20 m on the horizontal surface before coming to rest (the spring is still compressed by 0.20 m at this time). The coefficient of kinetic friction between the block and surface is Fung Answer: 0.163 X X=0

A block of mass 5 kg has a speed of 2 m/s at a height h above a spring (spring constant k = 1000 N/m). If the spring is compressed by a max amount of 0.5 m, what is the max rebound height of the block?

A 10.0 g bullet is fired into and embeds itself in a 1.75 kg block attached to a spring with a spring constant of 22.0 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m

An elastic cord is 66 cmcm long when a weight of 73 NN hangs from it but is 87 cmcm long when a weight of 190 NN hangs from it.What is the "spring" constant kk of this elastic cord?