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A 4.8-kg block on a 39° inclined plane is acted on by a horizontal force of 46 N (see Fig). The coefficient of kinetic friction between block and plane is 0.33. (a) What is the acceleration of the block if it is moving up the plane? (b) With the horizontal force still acting, how far up the plane will the block go if it has an initial upward speed of 4.3 m/s? (c) What happens to the block after it reaches the highest point?

A 4.8-kg block on a 39° inclined plane is acted on by a horizontal force of 46 N (see Fig). The coefficient of kinetic friction between block and plane is 0.33. (a) What is the acceleration of the block if it is moving up the plane? (b) With the horizontal force still acting, how far up the plane will the block go if it has an initial upward speed of 4.3 m/s? (c) What happens to the block after it reaches the highest point?

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
6 years ago
234-52_1.PNG
Therefore, the acceleration of the block is −3.3 m/s2 .
The negative sign of the acceleration shows that the block is decelerating and slowing down.

234-2303_1.PNG
Therefore, the distance travelled by the block is 2.8 m .
(c) When the block reaches highest point, its velocity will become momentarily zero, and the new motion will be governed by the direction and magnitude of forces acting on it at that moment.

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