8. A 5.00-kg block is moving at vo = 6.00 m/s along a frictionless, horizontal surface toward a spring with force constant k = 500 N/m that is attached to a wall. The spring has negligible mass. (a) Find the maximum distance the spring will be compressed. (b) If the spring is to compress by no more than 0.150 m, what should be the maximum value of vo? vo = 6.00 m/s k = 500 N/m %3D ww 5.00 kg

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 0.300-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with a light spring of force constant 5.25 N/m located at the end of the track. (a) What is the spring's maximum compression if the track is frictionless?    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)?

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

Please make sure this is right!!! A block of mass m = 1.90 kg is dropped from height h = 85.0 cm onto a spring of spring constant k = 1510 N/m (see the figure). Find the maximum distance the spring is compressed.

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?

4. GO A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other end is connected to a box. The box is pulled to the right, stretching the spring. Static friction exists between the box and the table, so when the spring is stretched only by a small amount and the box is released, the box does not move. The mass of the box is 0.80 kg, and the spring has a spring constant of 59 N/m. The coefficient of static friction between the box and the table on which it rests is µ, = 0.74. How far can the spring be stretched from its unstrained position without the box moving when it is released?

10.

A 4.50 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? (Enter a number.) N/m

A block of mass 1.7 kg is attached to a horizontal spring that has a force constant 800 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest. x x=0 (a) A constant friction force of 3.7 N retards the block's motion from the moment it is released. How much is the spring compressed when the speed of the block is a maximum. 0.463 cm (b) What is the maximum speed? Your response differs from the correct answer by more than 10%. Double check your calculations. cm/s