Core 3.31
EXAM 1
Prof. Michael Sobel


1. Find the velocity of a runner who runs 100 m in 13.8 seconds.
     a) 7.25 m/s      b) 7.69 m/s      c) 13.8 m/s      d) 1,380 m/s

2. Two cars drive at the same constant speed. The first car travels for 15 seconds and goes a distance of 300 meters. The second car travels for 90 seconds. It goes a distance of
     a) 50 m      b) 1800 m      c) 10,800 m      d) 21,600 m

3. A body is released from rest and falls straight down. After 0.36 seconds its speed is
     a) 27.2 m/s      b) 0.037 m/s      c) 3.53 m/s      d) 0.635 m/s

4. A car accelerates from 40 m/s to 60 m/s in 3.5 seconds. Its acceleration is
     a) 5.71 m/s2      b) 11.43 m/s2      c) 17.14 m/s2      d) 70 m/s2.

5. A frightened deer starts from rest and, during a period of 3.5 seconds, accelerates at 4.8 m/s2 . How far does it move in that period?
     a) 16.8 m      b) 8.4 m      c) 58.8 m      d) 29.4 m

6. A piece of paper placed on top of a book falls down at the same speed as the book. This is because:
     a) there is no air resistance under the paper.
     b) the book pulls the paper down with it.
     c) pressure between the book and the paper is reduced to zero.
     d) air pressure is lower at points closer to the earth.

7. A tortoise accelerates from rest, and after 2.4 seconds it has a velocity of 0.4 m/s. What is its average velocity during that period?
     a) 0.4 m/s      b) 0.2 m/s      c) 0.167 m/s      d) 6 m/s

8. The conditions necessary for distance travelled to be proportional to the square of the time are the following:
     a) constant speed and motion in a straight line
     b) acceleration constant and positive
     c) acceleration constant and in a straight line
     d) acceleration constant and motion starting from rest.

9. An object is thrown horizontally, with speed = 4.5 m/s, out of a sixth floor window. The window is a vertical distance D above the ground. The object hits the ground in 2.8 seconds. D is equal to
     a) 12.6 m      b) 38.4 m      c) 27.4 m      d) 35.3 m

10. Before Newton it was believed that the natural state of motion for objects in the heavens (the moon, planets, etc.) was
     a) motion in a straight line at constant velocity
     b) rest
     c) circular motion
     d) motion at constant acceleration

11. A ball rolls across the room to the right, and it is struck by a wooden plank in the direction to the left. The following is (are) possible motion(s) of the ball after being hit:
     a) It moves in a direction perpendicular to the original velocity, at a speed faster than its original speed.
     b) It moves in a direction perpendicular to the original velocity, at a speed slower than its original speed.
     c) It continues to the right, but more slowly, or it moves to the left.
     d) It continues to the right, at a speed that may be either faster or slower than the original speed.

12. An object of mass 0.56 kg is pulled by a stretched spring, and given an acceleration of 1.4 m/s2. If the spring is stretched by the same amount, and acts on an object of mass 0.24 kg, the acceleration will be
     a) 1.4 m/s2      b) 0.60 m/s2      c) 3.27 m/s2      d) 7.62 m/s2

13. Below is a top view of a tennis ball attached to a string, and being swung in a counter-clockwise circle, as shown. Which of the four arrows shown indicates the direction of the ball’s acceleration, when the ball is at point P as shown.
     a) A      b) B      c) C      d) D
14. On the moon all bodies fall with the same acceleration of gravity (although it’s not the same as on the earth). An astronaut on the moon drops two hammers from rest into a deep crater. One falls for 2.0 seconds and falls a distance of 3.2 m. The other falls for 7.8 seconds and falls a distance of
     a) 12.5 m      b) 48.7 m      c) 0.82 m      d) 298 m

15. A new satellite of Saturn is discovered. In order to determine its acceleration, astronomers must measure:
     a) its mass and the radius of its orbit
     b) its mass and the period of its orbit
     c) the radius and period of its orbit
     d) the radius and circumference of its orbit.

16. An object in the science laboratory has a mass of 2 kg. Its weight is 19.6 N. If this object is taken far into outer space,
     a) its mass will be the same, but its weight will be less
     b) its mass will be the same, but its weight will be greater
     c) its mass and weight will both be the same
     d) its mass will be less, but its weight will be the same

17. Three people push a car and give it an acceleration of 0.2 m/s2. The mass of the car is 1000 kg. What acceleration can these three people give to the car when it is filled with people who have a total mass of 300 kg?
     a) 0.338 m/s2.      b)0.26 m/s2.      c) 0.154 m/s2.      d) 0.118 m/s2.

18. When a car goes around a sharp curve, the centripetal force on the car is
     a) friction between the road and the tires
     b) the car’s weight
     c) air resistance
     d) pressure in the car’s tires

19. The acceleration of gravity
     a) is exactly the same at high altitudes and low altitudes on the earth’s surface
     b) is slightly less at high altitudes than at low altitudes on the earth’s surface
     c) is slightly greater at high altitudes than at low altitudes on the earth’s surface

20. One verification of the inverse-square law of gravitation involves comparing the acceleration of the moon in its orbit around the earth to the acceleration of
     a) the earth in its orbit around the sun,
     b) Europa (one of Jupiter’s satellites) in its orbit around Jupiter,
     c) falling bodies on the moon,
     d) falling bodies on the earth.