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PHYS 211 Recitation Review Problems: Solutions

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Physics <strong>211</strong> Fall 2012 Midterm 2 <strong>Recitation</strong> <strong>Review</strong> <strong>Solutions</strong><br />

5. In class we watched a video of a hammer and feather dropped on the moon. Both stared from<br />

the same height and landed on the lunar surface. Assume that the mass of the hammer is 100<br />

times greater than the mass of the feather.<br />

During the time that they fall freely, consider the following two statements:<br />

i) The net force on the hammer is equal to the net force on the feather.<br />

ii) The net acceleration of the hammer is equal to the net acceleration on the feather.<br />

A) Without knowing more numbers, we cannot decide<br />

B) Both statements are true<br />

C) i is true, but ii is false.<br />

D) i is false, but ii is true<br />

E) Both statements are false.<br />

The forces (mg) are DIFFERENT because of the different masses. However the acceleration of<br />

both is the same, namely g moon .<br />

6. A rover is moving about on a flat Martian surface. Its position as a function of time is given<br />

m 2<br />

m<br />

x t 3 t , y t 5 t, z t 0<br />

extremely precisely by 2 <br />

s<br />

(You should assume there is rolling friction for the rover on Mars!)<br />

What can you conclude about the net force on the rover?<br />

s<br />

A) There is not enough information given to conclude anything precise about the net force.<br />

B) The magnitude of the net force is a constant in time, and always points in the + ˆ i direction.<br />

C) The magnitude of the net force is not constant in time, but always points in the + ˆ i direction.<br />

D) The magnitude of the net force is a constant in time, but the direction changes with time.<br />

E) The magnitude of the net force is not constant in time, and the direction also changes with<br />

time.<br />

Find the acceleration by taking 2 time derivatives. Only a<br />

<br />

x (t) = 6 m/s 2 is non-zero. Because the<br />

acceleration is constant in the +i direction, so is the net force.<br />

7. A penny sits on an old fashioned (flat, horizontal) circular record turntable,<br />

rotating at a constant speed as illustrated in the "top-down" diagram at the right.<br />

1¢<br />

Which of the following sets of vectors best describes the directions of the velocity,<br />

acceleration, and net force acting on the penny at the point indicated in the<br />

diagram? (Note: this is not a force diagram, I'm just asking for the direction of<br />

these three different vectors)<br />

F<br />

v<br />

a<br />

F<br />

a=0<br />

v<br />

F<br />

a=0<br />

v<br />

F<br />

a<br />

v<br />

F<br />

a<br />

v<br />

A)<br />

B) C)<br />

D) E)<br />

Page 4 of 7

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