a block of mass m = 12 kg is released from rest on a frictionless incline of angle 30. Below the block is a spring that can be compressed 2.0 cm by a force of 270 N. The block momentarily stops when it compresses the spring by 5.5 cm. (a) How far does the block move down the incline from its rest position to this stopping point? (b) What is the speed of the block just as it touches the spring?

You have a spring of spring constant k, and a block of mass 0.200 kg. You set the spring up vertically and compress the spring 0.300 m. It launches the block up to a max height of 2.20 m. What is the spring constant?

A pogo stick has a spring with a spring constant of 2.5 × 104 N/m, which can be compressed 12.0 cm. To what maximum height from the uncompressed spring can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40 kg?

In the figure, a block of mass m - 14 kg is released from rest on a frictionless incline of angle 8-29°. Below the block is a spring that can be compressed 3.0 cm by a force of 150 N. The block momentarily stops when it compresses the spring by 4.2 cm. (a) How far does the block move down the incline from its rest position to this stopping point? (b) What is the speed of the block just as it touches the spring? 6

In the figure, a block of mass m = 16 kg is released from rest on a frictionless incline of angle 0 = 26°. Below the block is a spring that can be compressed 1.5 cm by a force of 250 N. The block momentarily stops when it compresses the spring by 4.2 cm. (a) How far does the block move down the incline from its rest position to this stopping point? (b) What is the speed of the block just as it touches the spring? (a) Number i Units (b) Number i Units

A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The box is then released and the spring launches the box horizontally along a track that ends in a ramp, as shown above. The box has enough speed to leave the ramp, and the box reaches a maximum vertical height above the floor. Assume there is negligible friction between the box and the track and air resistance is negligible.   K = spring constant of spring X = distance the spring is compressed M = mass box Theta = angle of ramp from horizontal H = maximum height reached by box   The scenario is repeated using a different box with a greater mass. The spring is compressed the same distance x.   Indicate how h in this second scenario compares to h in the original scenario, and explain why without mathematically deriving a relation for h. Students derive an equation for h in the original scenario, h= (sin2theta)kx2/2Mg, which may or may not be correct. Is this equation consistent with your claim…

A toy gun uses a spring to project a 5.4-g soft rubber sphere horizontally. The spring constant is 8.0 N/m, the barrel of the gun is 17 cm long, and a constant frictional force of 0.034 N exists between barrel and projectile. With what speed does the projectile leave the barrel if the spring was compressed 6.1 cm for this launch? (Assume the projectile is in contact with the barrel for the full 17 cm.)

A box with 14 kg of mass slides down an inclined plane that is 1.8 m high and 3.9 m along the inclined plane. Due to friction the box reaches 4.6 m/s at the bottom of the inclined plane. Beyond the inclined plane lies a spring with 750 N/m constant. It is fixed at its right end. The level ground between the incline and the spring has no friction When the box is temporarily stopped by the spring, how much is the spring compressed in m? Hint: start from the bottom of the inclined plane since you know the speed of the box there. Not all values must be used.