It needs enough kinetic energy to reach the top, which gets turned into potential energy right when it gets there. That way, it will make it around the loop.
Homework Statement
A mass m = 77 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius R = 15.1 m and finally a flat straight section at the same height as the center of the loop (15.1 m off the ground). Since the mass would not make it around the loop if...
Homework Statement
A mass m = 5.5 kg hangs on the end of a massless rope L = 1.81 m long. The pendulum is held horizontal and released from rest. How fast is the mass moving at the bottom of its path?
Homework Equations
a_c = \frac {v^2}{r}
F = ma
v = v_o + at
The Attempt at a Solution
I...
Homework Statement
A block with mass m = 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4085 N/m after being compressed a distance x_1 = 0.546 m from the spring’s unstretched length. The floor is frictionless except for a rough patch a distance d =...
I worked it like this:
tension will equal the sum of both forces, so
m_2a + m_2g = T
and
T = m_1a
solve for a
a = \cfrac{m_2g}{m_1 + m_2}
plug in
T = \cfrac{m_1m_2g}{m_1+m_2}