In Case 1 shown, the bowling ball rolls from rest down an inclined track The tra

Question

In Case 1 shown, the bowling ball rolls from rest down an inclined track The track has enough friction to prevent the bowling ball from slipping. In Case 2, the bowling ball is placed in a cart with negligible mass and with bearings having negligible friction. The cart with the ball is rolled from rest down the same track. Let v represent the speed of, K the total kinetic energy of, F the net force on, and L the angular momentum about the center of the bowling ball once it reaches the bottom. Let the subscripts 1 and 2 represent case 1 case 2. Which of the following statements are true about the ball at the bottom of the ramp? Select two answers. L_1=L_2 L_1-K_2 v_1-v_2 F_1-F_2

Explanation / Answer

In case 1 : as the ball rolls,it picks up translational KE as well as rotational KE but in case 2 : it gains only translational KE as the ball itself does not roll

So, all the PE stored at the top is converted to total KE(translational + kinetic)

So, K1 = K2 <---- option B is correct

Now, in case 1: part of the PE is coverted to translational KE but in case 2: all the PE is converted to translationak KE so, the speed v1 is small than v2 .. so option C is incorrect

Now, as the ball reaches the bottom, the ball in case 1 has non-zero angular momentum (as it is rotating) but in case 2 it is 0

So, L1 > L2 . so, option A is incorrect

The forces acting on the body are :

a) normal force (same for both cases)

b) gravity (same for both cases)

c) friction (also same for both)

So, option D is correct

So, answer is : B and D

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---