Handles Pulls
13 June 2011
Handles Pulls
a warehouse worker pulls on the handle of a 96kg cart with a net force of 128 newtons at an angle of 55 degree
above the horizontal. attached to this cart there's a smaller cart that has a mass of 72kg. what is the magnitude of the horizontal acceleration of the less massive cart.
The acceleration is:
a = F/m where F is 128Cos(55), or
73.41778 Newtons. Thus
a = 73.4178/(96+72), or
a = 0.437011 m/s^2
Both the smaller and larger mass have the same acceleration.
The force acting on the smaller mass is:
72(0.437011), or
31.46476 Newtons
While the net force on the larger is:
FCos(55) - 31.46476, or
41.95302 Newtons
Check: a = F/m = (41.95302)/96
a = 0.437011 m/s^2
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