5.00 m k = 400 N/m

A 500 g block on a frictionless horizontal surface is attached to a spring with spring constant of 12.5 N/m. The block is pulled to x = -20 cm and released at t =0. Find speed at x = 16.8 cm using energy conservation.

A 2.00-kg block is pushed against a spring with negligible mass and spring constant k = 400 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37.0 degrees. (a) What is the speed of the block as it slides along the horizontal surface after having left the spring? (b) How far does the block travel up the incline before starting to slide back down? k = 400 N/m }}}= wwwwwwww 0.220 m 2.00 kg 37.0°

A block with mass m = 12.4 kg is pressed against a spring with spring constant 1.285E+4 N/m, compressing the spring a distance of 0.115 m. It is then released from rest, moves across a frictionless horizontal surface, down a frictionless hill (vertical height h = 9.29 m), and onto a horizontal surface with friction μk = 0.638. How far (in m) will the block slide across the horizontal frictional surface before coming to rest?

The 5.00 kg object shown below is released from rest at a height of 7.0 m on a curved frictionless ramp. The object slides down the ramp and into the spring of force constant 500 N/m, compressing it a distance x before momentarily coming to rest. Find x.

A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the ceiling and its lower end at position y = 0. A block of weight 21 N is attached to the lower end, held still for a moment, and then released. If K = the kinetic energy, ΔUg = the change (from the initial value) in the gravitational potential energy, and ΔUe = the change in the elastic potential energy... What are (j)K, (k) ΔUg, and (l) ΔUe when y = –20 cm?

A 5 kg block starts from rest at point A at the top of a 3 m long frictionless ramp angled at 40° above the horizontal. The block slides down the ramp and enters a rough horizontal surface between point B and point C with a coefficient of kinetic friction of 0.30. The block travels a distance of 1.00 m on the horizontal surface before running into a light spring with a spring constant of 900 N/m. A 40.0⁰ hitting the spring. 1.50 m B 1.00 m k = 900 N/m wwwww What is the total energy at point A? What about at point B? What is the speed of the block at point B? What is the total work done on the block as it slides across the rough horizontal surface. Using the work-energy theorem, find the speed of the block at point C right before How far will the block compress the spring before coming to rest?

A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow is drawn 67.9 cm before releasing the arrow, to what height does the arrow rise?

As shown in the figure, a 1.50 kg box is held at rest against a spring with a force constant k = 725 N/m that is compressed a distance d. When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction μk = 0.47 and is 6.0 cm in length. (a) Calculate the spring's potential energy in terms of d  d2 (b) Calculate the magnitude of the friction force (in N).  N (c) Calculate the work done by the frictional force (in J). Be sure to include the correct sign in your answer.  J (d) The speed of the box is 1.9 m/s after sliding across the rough patch. Calculate the initial compression d (in cm) of the spring.  cm

A block of mass 2.00 kg is placed against a horizontal spring of constant k = 765 N/m and pushed so the spring compresses by 0.0650 m. HINT (a) What is the elastic potential energy of the block-spring system (in J)? (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring. m/s