A bowling ball and a basketball are rolled on a road. They are both rolling at t

Question

A bowling ball and a basketball are rolled on a road. They are both rolling at the same linear speed. They come to a hill. Which ball rolls up the hill further sphere=-inr 5. I hollow sphere=2mr/3, assume no slipping, no energy is lost to friction)? A. The bowling ball B. The basketball C. They go to the same height D. There is not enough information 2. An ice skater, of mass m and radius r. is rotating with her arms held out with a rotational velocity co. After the skater pulls her arms in, which statement below is true? a. The skater's moment of inertia I has decreased, and its angular momentum L has increases. b. The skater's moment of inertia I has decreased, and its angular velocity to has decreases. c. The skater's moment of inertia I remains constant, and its angular momentum L has increased d. The skater's angular momentum L is constant, and its rotational kinetic energy has decreased. The skater's angular momentum L is constant, and its rotational kinetic energy has increased. A single particle is located somewhere on the positive axis. A net force acting on it points in the negative y direction. The resulting torque about the origin points in the: A) positive x direction B) positive y direction C) positive z direction D) negative x direction negative y direction F) negative z direction 4. A rod mass M and length L is swung as a pendulum (see figure on the right). When the bar makes a 30degree angle with the vertical the instantaneous angular acceleration is given a. 0.3g/L b. 0.5g/L c. 0.75g/L d. 1.3g/L e. 1.5g L f. 3gL g. Lmg 2 h. Lmg/4 A person swinging (assume a point mass M is connected to a massless rope length L as shown in the figure on the right). When the swing makes an angle of 30degree with the vertical, the instantaneous angular acceleration is given by: a. 0.3g/L b. 0.5g/L c. 0.75g/L d. 1.3g/L e. 5g/L f.3gL g. Lmg 2 h.Lm 4 A person swinging (assume a point mass M is connected to a massless rope length L). When the swing makes an angle of 30degree with the vertical while moving down, which direction does the angular momentum point: b. right b. left c. out of the page d. into the page e. down f. up g. None of the above 7. Twit > wheels are accelerated from rest as shown in the figure below. What must F- be so that both wheels have the same angular acceleration? Assume massless hubs and spokes so i_cm=mr^2.

Explanation / Answer

(1) Since the moment of inertia of the basket ball is higher therefore it will have more rotational energy which will lead to it to the higher height.
(2) Angular momentum will remain conserved ,since the moment of inertia will decrease therefore its angular velocity will increase.
(3) Direction will be negative Z direction o
(4) Torque = I*angular acceleration
Mg.LSin3o /2 = ML2/3)*angular acceleration
angular acceleration = 0.75g/L

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