Speed Wood
Posted on
August 1st, 2010
by admin
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a 2 kg wood block is launched up a 30 degree wooden ramp at initial speed is 10 m/s?
Physics help please!!!!!!!!
A- at what vertical height does the block reach?
B- What speed does it have when it slides back down?
You didn't mention the friction coefficient. Wood on wood sliding is typically 0.2. If it is not in your problem just replace the value with yours
So Using work energy we can solve this problem Let K = kinetic energy 1/2*m*v^2 U = potential energy m*g*h And Work W = F*d where the force F is friction = mu*N The Normal = (from a free body diagram N = m*g*cos(theta)
Let Ui = ) at the bottom and Kf top = 0
So Ki - W = Uf
1/2*m*vi^2 - mu*m*g*cos(theta)*L = m*g*h (h = L*sin(theta)
Note mass drops out and So we have vi^2/2 = h*(g + mu*g*cos(theta)/sin(theta)) (I replaced L in the eqn with h/sin(theta)
So h = vi^2/(2*g(1 +mu/tan(theta)) = 10^2/(2*9.8(1+.2/tan(30)) = 3.79m
B Now we reverse the process but solve for v
Here Ki = 0 Ui = m*g*h W = -mu*m*g*cos(theta)*h/sin(theta) Kf = 1/2*m*v^2
So 1/2*m*v^2 = m*g*h - mu*m*g*h/tan(theta) so
v = sqrt(2*(g*h -mu*g*h/tan(theta)) = sqrt(2*(9.8*3.79- .2*9.8*3.79/tan(30)) = 6.97m/s
If you value of mu is different then just sub it into this eqn and solve
If mu = 0 (frictionless) Then Ki = Uf 1/2*m*v^2 = m*g*h So h = v^2/2g = 10^2/(2*9.8) = 5.10m
B) without outside forces the speed would be the same when it returned to the bottom i.e 10m/s
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