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PHYSICS 1A03 Final Examination Version 1

2019

1. Using scientific notation and the correct number of significant figures, what is the result of calculation

A. 5 x 10-2

B. 4.8 x 10-2

C. 4.8 x 10-3

D. 4.81 x 10-2

E. 4.808 x 10-2

2. A chicken attempts to cross a road by accelerating from rest in the positive direction. A short time later, the chicken slows to a stop. The chicken then turns around and returns to its original position, by speeding up and slowing to a stop. Which of the following acceleration-time graphs best describes the motion? ANSWER A

3. While caring for your friend’s pet snake, you play a game of “lift the snake up really fast.” You lift the snake vertically upwards, applying a force of 50 N while raising the snake at a constant speed v. For round 2, you lift snake three times as fast. While the snake rises at a constant speed 3v (three times as fast) you are lifting with a force of:

A. 50 N

B. 100 N

C. 150 N

D. 250 N

E. 350 N

4. Drake and Max are playing catch while standing on a hill. Drake sees his Dad walking towards the hill and tosses the baseball to him horizontally with a velocity of 20.0 m/s. The horizontal distance from Drake to his Dad is 40.0 m. What is the height difference from where Drake throws the ball to where his Dad catches it?

A. 9.8 m

B. 24.0 m

C. 19.6 m

D. 39.2 m

E. need more information

5. How many pieces of popped popcorn does it take to fill our lecture hall JHE 376?

A. 106

B. 109

C. 1011

D. 1014

E. 1017

6. The coefficient of kinetic friction between the block and the inclined surface of the figure below is 0.3 and the coefficient of static friction is 0.9. Each block is 1 kg. The pulley is frictionless and the string is massless. What is the magnitude of the acceleration of the blocks if the system is released from rest?

A. 0 m/s2

B. 0.55 m/s2

C. 0.97 m/s2

D. 1.3 m/s2

E. 2.2 m/s2

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7. Sara drops a ball from a high building. If we neglect air resistance, which of the following statements is false concerning the ball as it falls?

A. The change in momentum will be the same during each second.

B. The kinetic energy will increase at the same rate the potential energy decreases.

C. The change in speed will be the same during each second.

D. The kinetic energy will increase faster than the momentum will increase. E. The potential energy will decrease at the same rate the momentum will increase.

8. The magnetic permeability in a classical vacuum is given by the physical constant 0 which is defined by

the equation:

where is a dimensionless constant, h is Planck’s constant with dimensions [ML2/T], e is the charge of an electron with dimensions [AT], and c is the speed of light with dimensions [L/T]. What are the dimensions of 0 ?

A. Dimensionless

B. [ML/A2T2]

C. [ML /A2T]

D. [ML2/A2T2]

E. [ML2/AT2]

9. A cheetah can sprint at a speed of 95.0 km/h. The best a human is capable of is a speed of 37.5 km/h. A man and a cheetah are initially 0.500 km apart and both are running at their top speed. The cheetah is chasing the man, who is running away. Assume both the cheetah and man are travelling in the same direction along a straight line. How long does it take the cheetah to overtake the man?

A. 0.523 s

B. 13.6 s

C. 19.2 s

D. 31.3 s

E. 87 s

10. A car approaches a barrier at a speed of 20 m/s along a level road. The driver applies the brakes at a distance of 52 m from the barrier. What minimum coefficient of kinetic friction is required to stop the car before it hits the barrier?

A. 0.4

B. 0.5

C. 0.6

D. 0.7

E. 0.8

11. An object is moving along the x -axis. The graph to the right shows its position from the starting point as a function of time. Which statement below is false .

A. The object is moving in the negative direction during segment B.

B. The average velocity and acceleration during segment C are both zero.

C. The total displacement over the 30s is zero.

E. The speed of the object during segment B is faster than segment D.

D. The average speed over the 30s is zero.

12. A hiker descends from a canyon in the Rockies Mountains to the river below. During this hike, the work done by the gravity on the hiker is:

A. Zero.

B. Positive and depends on the path taken by the hiker.

C. Negative and depends on the path taken by the hiker.

E. Negative and independent of the path taken by the hiker.

13. Physics Girl pulls a sled with a birthday cake east along level ground as shown in the diagram below. The cake does not slide with respect to the sled. Physics Girl is slowing to a stop and the cake and sled are also slowing to a stop at the same rate as Physics Girl. If we ignore air resistance, what forces are acting on the birthday cake?

A. Normal force up, gravity down.

B. Normal force up, gravity down, static friction east. C.

D. Normal force up, gravity down, kinetic friction west.

E. Normal force up, gravity down, kinetic friction east.

14. A projectile is launched with 200 kg m/s of momentum and 1000 J of kinetic energy. What is the mass of the projectile?

A. 5 kg

B. 10 kg

C. 20 kg

D. 40 kg

E. 50 kg

15. Three pieces of fruit are released from the same window, one after another. A watermelon is simply dropped with no initial velocity. An apple is thrown straight downwards, and a blueberry is thrown straight upwards with the same initial speed as the apple. All three eventually hit the ground. How do their speeds just before they hit the ground compare, if air resistance is ignored?

A. All three speeds are the same.

B. The watermelon is the fastest, the blueberry is the slowest, and the apple is in between.

C. The apple is the fastest, the blueberry is the slowest, and the watermelon is in between.

E. The watermelon is the fastest, the blueberry and the apple are the same.

16.

A. 21.0 N

B. 44.5 N

D. 73.5 N

E. 85.6 N

17. A very thin oil film (n=1.25) floats on water (n = 1.33). What is the thinnest film that produces a strong reflection for green light with a wavelength of 500 nm?

A. 200 nm

B. 300 nm

C. 400 nm

D. 500 nm

E. 600 nm

18. An experimental way to tune a soda bottle is to compare its frequency with that of a 360 Hz tuning fork. Initially, a beat frequency of 8 Hz is heard. A small amount of water is removed, and the beat frequency decreases steadily to 6 Hz. What are the initial and final frequencies of the bottle, respectively?

A. 368 Hz, 366 Hz

B. 368 Hz, 354 Hz

C. 352 Hz, 366 Hz

D. 352 Hz, 354 Hz

E. Either A or D

19. Light is incident on two slits that are separated by 0.2 mm. The figure shows the resulting interference pattern observed on a screen 1.0 m from the slits. Determine the wavelength of light used in this experiment.

A. 200 nm

B. 300 nm

C. 400 nm

D. 500 nm

E. 600 nm

capillary tube that is placed into the liquid. Which of the following scenarios is likely to

E. Both A and C are possible

A. B. C. D.

21. A pipe that is closed at both ends resonates at its fundamental frequency f c . Both ends of the pipe are uncovered and the pipe is again made to resonate at its fundamental frequency f o . Which statement below correctly relates these two frequencies?

A. f c = f o

B. f c > f o

C. f c < f o

D. B or C could be correct

E. Impossible to tell without knowing the length of the pipe

22. A beam of light passes from air into water. Which statement is necessarily true?

A. The frequency is unchanged and the wavelength increases.

C. The wavelength is unchanged and the frequency decreases.

D. Both the wavelength and frequency increase.

E. Both the wavelength and frequency decrease.

23. The figure shows the path of a portion of a ray of light as it passes through three different materials. What can be concluded concerning the refractive indices of these three materials? The figure is drawn to scale.

A. n1 < n2 < n3

B. n1 > n2 > n3

D. n2 < n1 < n3

E. n1 < n3 < n2

24. A container, closed on the right side but open to the atmosphere on the left, is almost completely filled with water, as shown below. Three points a , b , and c are marked in the container. Rank the points from highest

pressure to lowest pressure.

A. a = b > c

B. b > a > c

C. b > a = c

D. c > b > a

E. c > a = b

25. Light propagates from soda lime glass (n=1.518) into Pyrex glass (n=1.473). Determine the critical angle where all of the light is totally internally reflected and does not leave the soda lime glass.

A. 13.99

26. A person who weighs 628 N is riding a mountain bike on a flat horizontal road. The bike has a weight of

100 N. Suppose the entire weight of the rider and bike is supported equally by the two tires. If the gauge pressure in each tire is 8.09 105 Pa., what is the area of contact between each tire and the ground?

A. 11 10-4 m2

B. 9.9 10-4 m2

C. 6.9 10-4 m2

D. 4.5 10-4 m2

E. 2.5 10-4 m2

27. An open-closed tube of length 2.5 m is vibrating with a frequency of 170 Hz. If the speed of sound is

340 m/s, what harmonic is the tube the tube vibrating at? (i.e. what is n?)

A. n = 1

B. n = 2

C. n = 3

D. n = 5

E. n = 7

28. You need to determine the density of a ceramic statue. If you suspend it from a spring scale, the scale reads

62.6 N. If you then lower the statue into a tub of water so that it is completely submerged, the scale reads

18.6 N. What is the density of the statue? The density of water is 1000 kg/m3 .

A. 935 kg/m3

B. 1000 kg/m3

C. 1140 kg/m3

D. 1290 kg/m3

E. 1420 kg/m3

29. The graphs below describe a wave propagating in the negative x -direction. The snapshot graph was taken at t = 0 s and the history graph is for point x = ½ cm. What is the wave function y(x,t) for the wave?

A. y ( x , t ) = 5 sin(0.25 x - t )

B. y ( x , t ) = 5 sin( x + 0.25 t )

C. y ( x , t ) = 10 sin(4 x + t )

D. y ( x , t ) = 5 sin(2 x + 8 t )

E. y ( x , t ) = 5 sin( x - 0.25 t )

30. Two pulses approach each other at speeds of 1 cm/s as shown in the snapshot graph below. ANSWER E