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4.4.3 Test (TST): Teacher-Scored Unit Test Test Physics Sem 1 Points Possible: 50 Name: Hudson Kohler Date: In this test you will apply what you have learned in the unit. Please answer the questions below. Submit this to your teacher when you are done. Show all your work on this test. Question 1 (2 points) You are in a spaceship far outside our solar system. Inside your spaceship there is no gravity and no air (and therefore no air resistance). If you toss a ball across the spaceship, how do Newton’s laws predict its motion will change as it moves? (2 points)
Newtons first law says that the ball will continue without stopping. According to his second law, if you apply fore to the ball it will accelerate and change direction based on the force applied. Question 2 (4 points) You are in a gym. A basketball sits on a rack next to you while you punch a punching bag. Name two action-reaction pairs that are present in this situation. (4 points) When you exert force into the punching bag, the bag swings back, returning the force. The force of gravity is pulling the ball down, while the rack pushed back up while holding the ball. Question 3 (8 points)
Your go-cart breaks down right before the end of a race, so you have to push it over the finish line. The go-cart has a mass of 85 kg. a. What is the weight of your go-cart? (2 points) The weight of the go-cart is 833 N. b. How much force must you apply to give the go-cart an acceleration of 0.9 m/s 2 ? (2 points) You must apply 76.5 N of force. c. If you push with a force of 350 N, what is the acceleration of the cart? (2 points) 350/85=4.12 m/s^2
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d. Later, you are driving your friend's go-cart. If his cart has an acceleration of 5.5 m/s 2 and the cart's engine is applying a forward force of 720 N, what is the mass of his go-cart? (2 points) 720/5.5= 130.91 kg Question 4 (2 points) You have a ball with mass 2.8 kg tied to a rope, and you spin it in a circle of radius 1.3 m. If the ball is moving at a speed of 7 m/s, what is the centripetal force acting on the ball? (2 points) mv 2 /r= 2.8*7 2 /1.3 = 105 N Question 5 (13 points)
Trent and Dyson pull on opposite sides of a shopping cart that has a mass of 13 kg. Trent pulls the cart to the right with a force of 85 N, and Dyson pulls the cart to the left with a force of 96 N. (Assume there is no friction.) a. Draw the free-body diagram of the shopping cart. (You do not need to draw it perfectly to scale. Just make sure the directions are correct.) (3 points) b. Write the expression for the net force on the shopping cart along the y -axis. (2 points) F net =N-mg=0 c. Write the expression for the net force on the shopping cart along the x -axis. (2 points)
F t -F d =F net d. What is the normal force acting on the shopping cart? (2 points) N-mg= 0 N=mg (13)(9.81)= 127.5 e. What is the net force on the shopping cart along the x -axis, including direction? (2 points) F x = -11 N left f. What is the acceleration of the shopping cart, including direction? (2 points)
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The acceleration is -0.85 N left Question 6 (6 points) Jake pulls a couch of mass 23 kg across his apartment. He pulls on the couch at an angle of 32° with a force of 120 N. The free-body diagram is shown below. a. What is the x -component of his applied force? (2 points)
The x-component of his applied force is 101.77 N b. What is the y -component of his applied force? (2 points) The y -component of his applied force is 63.59 N c. Assuming the couch does not leave the ground, what is the normal force acting on the couch? (2 points) The normal force acting on the couch is 161.81N Question 7 (7 points)
Matt has a mass of 37 kg and skis down a hill with no friction or air resistance. The hill has an angle of 24°. The free-body diagram is shown below. a. Write the expression for the net force in the x -direction. (2 points) The expression for the net force in the x -direction is F net = F n -mgcos0 F n -mgcos0= 0
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b. Write the expression for the net force in the y -direction. (2 points) mgsin0=F net c. What is the acceleration in the y -direction? (1 point) The acceleration in the y direction is 3.98m/s 2 d. What is the normal force acting on him? (2 points) The normal force is 331.25
Question 8 (8 points) Mazie stands on her kitchen floor. The coefficient of kinetic friction between her socks and the floor is 0.62, and the coefficient of static friction is 0.75. She has a mass of 42 kg. a. What is the maximum force of static friction between her socks and the floor? (3 points) The maximum force of static friction between her socks and the floor is 308.7 N b. If you push Mazie with a force of 350 N, will she start to slide? Explain your answer. (3 points) Yes she will begin to slide because with that force it is enough to overcome the static friction and put her into motion. If you stop pushing her, she will come to a stop.
c. Mazie slides across the floor at a speed of 0.6 m/s. What is the force of kinetic friction acting on her? (2 points) The force of kinetic friction acting on her is 255.19N.
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