Solution Found!
The spring is placed between the wall and the 10-kg block.
Chapter 14, Problem F14-1(choose chapter or problem)
The spring is placed between the wall and the 10-kg block. If the block is subjected to a force of F = 500 N, determine its velocity when s = 0.5 m. When s = 0, the block is at rest and the spring is uncompressed. The contact surface is smooth.
Questions & Answers
QUESTION:
The spring is placed between the wall and the 10-kg block. If the block is subjected to a force of F = 500 N, determine its velocity when s = 0.5 m. When s = 0, the block is at rest and the spring is uncompressed. The contact surface is smooth.
ANSWER:
Problem F14-1
The spring is placed between the wall and the 10-kg block. If the block is subjected to a force of F = 500 N, determine its velocity when s = 0.5 m. When s = 0, the block is at rest and the spring is uncompressed. The contact surface is smooth.
Step by Step Solution
Step 1 of 2
Given data:
- The mass of the block is m = 10 kg
- The force is F = 500 N
- The displacement is s = 0.5 m
- The spring stiffness is k = 500 N/m
The force along horizontal direction is:
The block is initially at rest, so its initial velocity will be zero
Applying work-energy theorem for the spring and block: