A large block with a mass of 8.5 kg slides along a horizontal surface without friction. The block runs into a horizontal spring with a spring constant of 260 N/m and compresses the spring by 50 cm before coming to a stop. (a) How fast is the block moving when it just hit the spring? (b) What is the potential energy of the spring, the kinetic energy of the block, and the total mechanical energy of the system when the block is halfway to its stopping position?

A 13 kg runaway grocery cart runs into a spring with a spring constant of 260 N/mN/m and compresses it by 65 cm. What was the speed of the cart just before it hit the spring?

A toy car of mass 2.0 kg starts at the top of an incline of angle 20.°. It travels 1.0 meter down the incline to a flat surface where it encounters a spring of spring constant, k = 5.0 N/m. (a) What is the car's speed at the bottom of the incline? (b) When the car encounters the spring, by how much does it compress (max) it? (c) The spring is removed and the car now encounters a second incline as shown. What is the maximum distance the car travels up this second incline?

An m = 12.0kg block is released from rest on a frictionless incline that makes an angle of 0 = 27.0°, as shown in the figure. Below the block is a spring that has a spring constant of 1.55 × 10¹ N/m. The block momentarily stops when it compresses the spring by 5.50 cm. How far I does the block move down the incline from its release point to the stopping point? Answer in units of centimeters. m eeeeeee 0

An NBA basketball (mass 0.625 kg) is dropped from (its bottom) 1.80 m above the floor, and after the bounce, rises to be 1.40 m above the floor. What is the energy efficiency for the basketball's bounce?

The elastic energy stored in your tendons can contribute up to 35% of your energy needs when running. Sports scientists find that (on average) the knee extensor tendons in sprinters stretch 42 mm while those of nonathletes stretch only 35 mm. The spring constant of the tendon is the same for both groups, 33 N/mm. What is the difference in maximum stored energy between the sprinters and the nonathletes? Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) AU = μA Value N m

Suppose a box of mass m slides toward a spring with a speed of Vi, presses 1.00 m into the spring, and then bounces away with a final speed of 15.0 m/s. Find the initial speed of the box. Take into account the work due to friction (μk = 0.5).

A 0.40-kg mass attached to a spring is pulled back horizontally across a table so that the potential energy of the system is increased from zero to 155 J. Ignoring friction, what is the kinetic energy of the system after the mass is released and has moved to a point where the potential energy has decreased to 70 J?