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# w04Mid1 - Physics 140 Winter 2004 Midterm 1 1(P Three boxes...

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Physics 140 Winter 2004 Midterm 1 1 1. (P) Three boxes of salamis with masses m 1 , m 2 and m 3 are being pulled to the right across a horizontal, frictionless surface using the light connecting strings shown. Which of the following combinations of masses m 1 : m 2 : m 3 (in kg) will produce a ratio of tensions T 3 / T 1 = 4? a) 1 : 2.5 : 0.5 b) 0.5 : 1.5 : 0.5 c) 0.5 : 0.5 : 1 d) both b) and c) e) both a) and c) 2. Consider co-planar vectors a , b , and c , shown below, with magnitudes a =3, b =4 and c =10. The angle between a and b is 30 degrees and the angle between b and c is a right angle. Which of the following expressions is false?

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Physics 140 Winter 2004 Midterm 1 2 3. (P) A strong push sends a box of dill pickles sliding up the curved ramp outlined below. There is friction between the box and the ramp. As it continues to roll up the incline at the location shown in the picture, what happens to the magnitudes of the following: the force of kinetic friction f k , the normal force on the box from the ramp N , and the component of gravity parallel to the incline F g,|| = F g . i , where i is the unit vector in the direction of the velocity v ? a) f k decreases, N increases, and F g,|| increases b) f k increases, N increases, and F g,|| decreases c) f k decreases, N decreases, and F g,|| increases d) f k is constant, N decreases, and F g,|| increases e) all decrease 4. (P) The Spirit Rover is exploring rocks in a flat basin of Mars. Starting from its base platform, it first follows instructions to travel 30m in a direction 30 ° North of East (in Martian terms, of course). After a few soil analysis experiments, it then travels 40m in a direction 30 ° West of North where it visits the so-called “Michigan palm rock”. It is then instructed to return to its base platform to downlink data. If the rover travels at a speed of 0.25 m/s, in what direction must it go and how long will it take for Spirit to return to its base? v
Physics 140 Winter 2004 Midterm 1 3

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