# Physics

posted by .

A block of mass m is placed in a smooth-bored spring gun at the bottom of the incline so that it compresses the spring by an amount x_c. The spring has spring constant k. The incline makes an angle theta with the horizontal and the coefficient of kinetic friction between the block and the incline is mu. The block is released, exits the muzzle of the gun, and slides up an incline a total distance L.

Find L, the distance traveled along the incline by the block after it exits the gun. Ignore friction when the block is inside the gun. Also, assume that the uncompressed spring is just at the top of the gun (i.e., the block moves a distance x_c while inside of the gun). Use g for the magnitude of acceleration due to gravity.

• Physics -

The block moves up the ramp until the initial kinetic energy equals the potential energy increase PLUS the work done against friction.

The initial kinetic energy equals the potential energy of the compressed spring, so

(1/2)k*x_c^2 = M g L sin theta + M g (cos theta)*mu*L

Solve for L

• Physics -

L=[k(x_c)^2 - 2mg(x_c)sin(theta)]/[2mg[(mu)cos(theta) + sin(theta)]]

## Similar Questions

1. ### physics

A 12 kg block is released from rest on a 30 degree fricitonless incline. Below the block is a spring that can be compressed 2 cm by a force of 270 N. The block momentarily srops when it compresses the spring by 5.5 cm. a) How far does …
2. ### PHYSICS

A block is on a 24 degree incline, with a rope attached to a spring at the top of the ramp which has a spring constant of 65 N/m. If the spring is stretched 1.3 m, the coefficient of friction is 0.01, and the acceleration of the block …
3. ### physics

A block of mass 2 kg is propelled by a spring with spring constant k=5200N/m onto a smooth (frictionless) track. The spring is initially compressed a distance of 0.13 m from its equilibrium configuration. At the end of the track there …
4. ### College Physics

A block with mass m = 2.00kg is placed against a spring on a frictionless incline with angle (30 degrees). (The block is not attached to the spring.) The spring with spring constant k = 19.6 N/cm, is compressed 20.0 cm and then released. …
5. ### Physics

A block with mass m = 2.00kg is placed against a spring on a frictionless incline with angle (30 degrees). (The block is not attached to the spring.) The spring with spring constant k = 19.6 N/cm, is compressed 20.0 cm and then released. …
6. ### Physics

A crate of mass 0.812 kg is placed on a rough incline of angle 35.3 degrees. Near the base of the incline is a spring of spring constant 1140 N/m. The mass is pressed against the spring a distance x and released. It moves up the slope …
7. ### Physics

A crate of mass 0.812 kg is placed on a rough incline of angle 35.3 degrees. Near the base of the incline is a spring of spring constant 1140 N/m. The mass is pressed against the spring a distance x and released. It moves up the slope …
8. ### physics

A physics student pulls a block of mass m = 23 kg up an incline at a slow constant velocity for a distance of d = 4 m. The incline makes an angle q = 25° with the horizontal. The coefficient of kinetic friction between the block and …
9. ### Physics

A block with mass m = 2.00 kg is placed against a spring on a frictionless incline with angle θ=30.0° (see figure). The block is NOT attached to the spring. The spring, with spring constant k = 19.6 N/cm, is compressed 20.0 cm …
10. ### physics

A physics student pulls a block of mass m = 20 kg up an incline at a slow constant velocity for a distance of d = 4.5 m. The incline makes an angle Δ = 30° with the horizontal. The coefficient of kinetic friction between the …

More Similar Questions