Sunday, August 22, 2010

Find work done on the block by gravitational force?

Calculate the work done on the block by the gravitational force during the 25 m slide down the plane in J. The mass is 250 N which is 25 kg. The acceleration of gravity is 10 m/s^2. A plane 25 m in length in inclined at an angle of 36.9 degrees. A block of weight 250 N is placed at the top of the plane and allowed to slide down. The coefficient is 0.6. The plane is also 20 m horizontal and 15 m vertically.


I found that the magnitude of the normal force exerted on the block by the plane is 200 N from N=mgcos (36.9). I just don't know how what to use for the work done. Please help.

Find work done on the block by gravitational force?
The work done by gravity is the force * distance done in the direction of gravity. Since gravity acts straight down, the distance is the vertical distance of the plane. The force is 250N we already know. So the work is 250 * 15 N m. As far as the gravitational field is concerned, this block simply moved 15m downward, regardless of the fact that it went there gradually on an angle.
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