- #1
DevonZA
- 181
- 6
Homework Statement
Homework Equations
P1=P2
P=F/A
F=PA
F1/A1=F2/A2
F2 = F1(A2/A1)
F2 = W(A2/A1)
W=mg
W=F*d
The Attempt at a Solution
A1= pi/4 * d2 = pi/4 * (0.15)2 = 0.0177m2
A2 = pi/4 * d2 = pi/4 * (0.05)2 = 0.00196m2
P1=P2
P=F/A
F=PA
F1/A1=F2/A2
F2 = F1(A2/A1)
F2 = W(A2/A1)
W=mg
= 500 * 9.81
= 4905N
F2 = W(A2/A1)
= 4905 (0.00196/0.0177)
= 543N
1.1) Therefore the force of 500N cannot lift the 500kg mass because 543N is required to do so.
1.2) W=F*d
= 543 x 0.01
= 5.43J
W= F*d
5.43 = 4905 x d
d = 5.43/4905
d = 0.001m
= 1mm is the distance depressed.