Homework Statement
A man stands on the roof of a building of height 16.6 and throws a rock with a velocity of magnitude 25.0 at an angle of 35.0 above the horizontal. You can ignore air resistance.
Calculate the magnitude of the velocity of the rock just before it strikes the ground...
I figured it out, I think. I used:
mg = m(v^2/R)
v = sqrt(gR)
K(1) + U(g1) = K(2) + U(g2)
U(g1) = 0
y(2) = 2R
drop the masses since they cancel out
.5v(c)^2 = .5v(2)^2 + 2gR
then plug v(c) back into COM and solve.
I got 65.5m/s
Homework Statement
A 20.00kg lead sphere is hanging from a hook by a thin wire 3.50m long, and is free to swing in a complete circle. Suddenly it is struck horizontally by a 5.00kg dart that embeds itself in the lead sphere. What must be the minimum initial speed of the dart so that the...
Homework Statement
A pilot flies an airplane in a vertical circular loop with a radius of R = 1200 m. The plane is gaining speed as the pilot makes a dive, and its speed is measured to be 150 m/s when the plane reaches the bottom of the circle. If the total acceleration of the plane at the...