# Finding Force and Velocity of Block Mass

Not what you're looking for?

A mass M= 2.5 kg is initially distance H= 1.8 m above a relaxed spring whose force constant k is unknown. The length of the spring is A= .84 m. The mass, released at rest, falls on and compresses the spring to final length B= .25 m in stopping. See attachment for diagram.

a. By applying conservation of energy, find the force constant of the spring.

b. Find the velocity of the mass as it first contacts the spring.

c. Find the velocity, v, of the still moving mass when the spring has been compressed to half of its final compression.

##### Purchase this Solution

##### Solution Summary

Provides steps necessary to determine force and velocity.

##### Solution Preview

Solution:

a. Between initial position at rest and final position at rest, the block loses potential energy by descending distance (H + A - B). The spring gains potential energy by compressing a distance (A - B). Although the block initially gains speed (and kinetic energy) it loses it again in stopping. Equating energy loss to energy gain, in terms of parameters gives:

(1) M g (H + ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### The Moon

Test your knowledge of moon phases and movement.

##### Basic Physics

This quiz will test your knowledge about basic Physics.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.