3. (7 points) Consider a system of two interacting bodies that are otherwise iso

Question

3. (7 points) Consider a system of two interacting bodies that are otherwise isolated from the rest of the universe. Which of the following statements will always true for such a system? a) Only total linear momentum must remain constant. b) Only total mechanical energy must remain constant. c) Only total angular momentum must remain constant. d) Only total linear momentum and total mechanical energy must remain constant e) Only total linear momentum and total angular momentum must remain constant t) Only total mechanical energy and total angular momentum must remain constant. g) Total linear momentum, total mechanical energy, and total angular momentum must all remain constant. h) None of the above. 4. (7 points) During a 2.00s interval, a wheel rotates about a fixed axis through 5.00 complete revolutions while undergoing a constant angular acceleration of = 12.0 rad s, what is the angular velocity of this wheel at the beginning of the interval? a) 0.566 rad/s b) 13 rad/s c4.15 rad/s d) 7.41 rad/s 3.71 rad/s

Explanation / Answer

3) since only gravitational Force is interacting and also called as internal force between bodies,the total linear momentum,total mechanical energy and total angular momentum remains constant

hence the answer is g)

4)
Given that t = 2 sec

alpha = 12 rad/s^2

theta = 5*2*3.142 = 31.42 rad

then using

theta = (wi*t)+(0.5*alpha*t^2)

31.42 = (wi*2)+(0.5*12*2^2)

wi*2 = 31.42-(0.5*12*2^2)

wi*2 = 7.42

wi = 7.42/2 = 3.71 rad/s

so the correct option is e) 3.71 rad/s

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