- #1
Fatima Hasan
- 319
- 14
Homework Statement
Homework Equations
∑F=ma
W = - ΔUs
ΔUs = 0.5 k (xƒ)^2 - 0.5 k (xi)^2
W = ΔUs + ΔKE
d = viy t + 0.5 * t^2 * a
The Attempt at a Solution
A) [/B]W = - (0.5 k xƒ^2 - 0.5 k xi^2)
= - (0-100)
W = 100 J
B)
W = ΔUs + ΔKE
100 = 0.5 m vf^2 -0 + 0 - 0.5 k xi ^2
100 = 0.5 * 2 * vf^2 - 0.5 * 2000*(0.1+1.5)
vf = 51.58
C)
∑F=ma
m a = - Fk + F spring
a = ( -4+200)/2 = 196 /2 = 98 m/s^2
d = viy t + 0.5 * t^2 * a
0.3 = 0 + 0.5 * 98 * t^2
t = 0.078 s t = - 0.078 s ( unacceptable)
v = R / t
R = 51.58 * 0.078 = 4.04 m
Please check if it's correct or not.
Thank you