shows a 50 kg crate sliding down a 30° incline plane and eventually stopped by a bumper with spring constant k. The kinetic coefficient of between the crate and the

floor is uz = 0.33. At the moment shown, the crate has a velocity of 2.5 m/s. Write the work and energy equation and use it to determine the velocity of the crate when it just reaches the bumper. Determine the value of the spring constant of the bumper, k, if it is observed that the crate comes to a stop 0.4 m momentarily after impacting with the bumper.