2. A 2 kg block is initially at rest on top of a frictionless ramp. The ramp is
ID: 1319558 • Letter: 2
Question
2. A 2 kg block is initially at rest on top of a frictionless ramp. The ramp is inclined at an angle of 60 degrees with respect to the horizontal and is sitting on top of a table. The surface of the table is also frictionless and it is 1 meter above the floor. The block is released and it slides 4 meters down the ramp, across the table and flies off the table onto the floor. A) Find the acceleration of the block down the ramp. B) Find the speed of the block at the bottom of the ramp. C) Find the speed of the block just before it hits the ground.
Explanation / Answer
the height of the ramp h = L sin60 = (1 m) sin60 = 0.866 m
The acceleration of the block
F = mg sin 60
ma = mg sin60
a = g sin 60
= 9.81 sin 60
= 8.495 m/s2
Speed of the block
v2 - u2 = 2 a L
v = [ 2 a L ]1/2
= [ 2 * 8.495 * 1 ]1/2
= 4.122 m/s
The diagram of the figure is esstential to calculate the option C and D.
Use the above results and calculate option C and D if you have the figure with you.
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