Buhra rolls down a ball from a certain height along an inclined plane. After reaching the bottom of the inclined plane, the ball rolls some distance horizontally along a surface. Brahma uses four different objects as the horizontal surface at the bottom of the inclined plane. The four objects are frosted glass sheet, cardboard sheet, sand paper, and wrinkle-free towel. In each case, he measures the distance travelled by the ball from the bottom of the inclined plane along the horizontal surface. On which surface will the ball move the least distance?
Answers
Answer:
When the ball moves along a smooth plane, the accelerating force on it is mg sin θ. Hence, its acceleration is equal to g sin θ.
When the ball rolls down the rough inclined plane, then mg sinθ acts down the plane but a friction comes into existence which acts up the plane. That friction produces angular acceleration on the ball and the net accelerating force on the ball becomes equal to (mg sin θ -friction). Therefore, it has a smaller acceleration. Therefore, its velocity at the bottom of the plane is less than that of the ball moving down a smooth plane or vs>vr.
In fact, at the bottom of the planes both the balls have the same KE because loss of potential energy of both the balls is the same. But the ball rolling down a rough plane has translational as well as rotational kinetic energy at the bottom of the plane while ball sliding down a smooth plane has translational KE only. Therefore, translational KE of the rolling ball will be less than the translational KE of the ball sliding down the smooth plane. Hence, option (d) is correct.
Explanation:
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Answer:
Wrinkle-free towel
Explanation:
Among the given surfaces, the towel offers the greatest frictional resistance to the rolling of the ball over it. A towel is made up of cotton threads that offer a great amount of resistance, i.e., frictional force, to any motion over their surface. As the ball rolls down and moves on the towel, it stops quickly after travelling the shortest distance. This is because the friction offered by the towel surface to the moving ball is the greatest among the given surfaces.