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Mass Ship
Mass Ship
A crate with a mass of 250 kg is rolled up a 50 m long ramp to a ship. The ship’s loading dock is 20 m high?
A crate with a mass of 250 kg is rolled up a 50 m long ramp to a ship. The ship’s loading dock is 20 m high
What is the AMA of the ramp?
To lift the crate vertically would take m*g or 250*9.8 = 2450N.
The sine of the ramp angle is 20/50, which is an angle of 23.6 degrees. Assuming it is “rolled” on low-friction wheels, the force to move up the ramp is m*g*sin(angle) = m*g*20/50 = 980N.
The AMA would be the force needed to lift directly divided by the force needed via the ramp, or:
AMA = 2450/980 = 2.50
Naturally, this is simply the reciprocal of sin(angle).
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