Answer:
The force due to gravity is called weight. It can be resolved into two axes: along the ramp and normal to the ramp. The ramp angle is 30 degrees so we have
m.g.sin(30) = 25 . 10. 0.5 (parallel) = 125N
and
m.g.cos(30) = 25 . 10 . 0.8660 (normal) = 216.5 N
Work is given by force times distance IN THE DIRECTION OF THE FORCE
so the work due to the parallel gravity force is opposite the direction of the motion; and we signal that with a minus sign: 125 x -3 = -375 joules.
But hang on a durned minute!
Explanation:
The work done by the weight (gravitational force) of the box will be - 375 N
The work done by a force can be defined as the product of the displacement of an object and the component of the applied force which is in the direction of the object's displacement.
mg (gravity ) will have two components
1) parallel component : mg sin(theta)
2) perpendicular component : mg cos (theta)
m*g*sin(30) = 25 * 10 * 0.5 = 125N
m*g*cos (30) = 25 * 10*0.8660 = 216.5 N
work done = F s cos (x)
work done = force * displacement * cos(x)
= 125 * 3 * cos(180)
= 125 * 3 * (-1)
= - 375 N
The work done by the weight (gravitational force) of the box will be - 375 N
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