- #1
Zynoakib
- 70
- 0
Homework Statement
Homework Equations
KE = 1/2mv^2
f = -kx
U = 1/2kx^2
Kinematic equations
F = ma
The Attempt at a Solution
Horizontal components of the block's weight: 8.38N
Compression of the spring:
f = -kx
8.37 = -500x
x = 0.01674 m , which is wrong and I would be grateful if someone can explain to me why it is wrong
Then, I changed the approach
Find the acceleration of the block
F= ma
8.37 = 2.5a
a = 3.348 ms^-2
u = 0.75, v = ?, a = 3.348, s = 0.3
v^2 = u^2 + 2as
v^2 = 0.75^2 + 2(3.348)(0.3)
v = 1.603 m/s
W = KE change when the blocj hit the spring
W = 1/2(2.5)(1.603)^2 - 1/2(2.5)(0)^2
W = 3.212J
Since work done can also be treated as potential energy
U = 1/2kx^2
3.212 = 1/2(500)x^2
x = 0.113 m
and is still wrong, why?
Thanks!
Last edited: