w = V*d*g*h <--new
V = pi*r^2*dh
r^2 = 8h-h^2
d = 1000
g = 9.8
h = 6-h
V = 9800pi ∫ [(8h-h^2)*(6-h)] dh
V = 9800pi*(24h^2 - (14/3)h^3 + (1/4)h^4)
V ~ 1463466pi Joules
This is the first time I've done a question like this and the energy seems a little high to me, is it correct?
I know I...
Homework Statement
A tank in the form of a hemispherical bowl of radius 4 m is full of water. Find the work required to pump all of the water to a point 2 m above the tank.
Homework Equations
w = fd = mgd
density = 1000L/m2
1L = 1kg
The Attempt at a Solution
x = height
w...
I think I got the idea. The lifting force of the y-component of Tension counteracts the force of Gravity and reduces it's magnitude, and because the Normal force depends on the Fg, it will also be reduced. But, I'm still not sure how I could show this on paper.
I'm not 100% if I'm approaching the question properly but I got the right answer. o.O
basically I have normal force, and then the lifting force which is the y-component of the force of tension. so...
W = F*u*d
=(n - Ty)(u)(d)
=(mgcosθ1 - Tsinθ2)(u)(d) *θ1 = 30, θ2 = 16...
Homework Statement
An 8.5 kg crate is pulled 5.5 m up a 30degree incline by a rope angled 16degree above the incline. The tension in the rope is 140 N and the crate's coefficient of kinetic friction on the incline is 0.26. What is the increase in thermal energy of the crate and the incline...