physics test

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Jan 9, 2024

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5.5.3 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 (6 points) An airplane ﬂies east at a speed of 120 m/s. The airplane has a mass of 3200 kg.

a. What is the momentum of the airplane? (Remember, momentum is a vector quantity.) (3 points) P=MV M=3200 kg V=120m/s3200*120 P1=3.84*10^5 kgm/s b. Air resistance reduces the speed of the plane to 110 m/s. What impulse was applied to the plane by the air resistance? (3 points) Pf= 3200(110) Pf= 3.52*10^5 kgm/s I=3.84* 10^5 -3.52*10^5 I= 32000 kg m/s

Question 2 (6 points) At a race track, a car of mass 2000 kg crashes into a concrete wall at a speed of 77 m/s. a. If the car comes to a stop when it hits the wall, what is the magnitude of the impulse applied to the car? (3 points) 2000kg (77m/s) The magnitude of the impulse applied =154,000 Kg m/s b. To make things safer, the race track installs barrels of sand along the wall. If the car crashes into the barrels, the time it takes to stop will be increased by a factor of 3, as compared with hitting a concrete wall. How does this affect the force applied to the car during a crash? Explain your answer using the appropriate equation. (3 points) (f/3) (3t) = -154,000 kg m/s Force is decreased by a factor of 3

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Question 3 (5 points) Bill forgets to put his car in park and it starts rolling west. When it is moving at a speed of 3.5 m/s, it collides with Tanya's car, which is moving at a speed of 2 m/s east. Bill's car bounces backward (to the east) at a speed of 2 m/s. Bill's car has a mass of 900 kg, and Tanya's car has a mass of 1100 kg. a. What is the total momentum of the system before the collision? (2 points) P= 3150 - 2200 =950 kg m/s to the west b. What is the total momentum of the system after the collision? (1 point) Since there is no external force, the total momentum is 950 kgm/s to west c. What is the velocity of Tanya's car after the collision? (2 points) P1 + P2 = 950

1100v - 1800 = 950V= 2.5m/s towards the west Question 4 (4 points) Two ice-skaters stand in the middle of an ice rink. Drew has a mass of 75 kg, and Lily has a mass of 55 kg. Drew holds Lily, and they are both stationary. To begin their routine, he tosses her forward with a speed of 2 m/s. a. The system is defined as Drew and Lily. What is the total momentum of the system before he throws her? (1 point) The total momentum is zero because they are not moving b. What is the total momentum of the system after he throws her? (1 point) Because there is no external force acting upon them, the total momentum is zero

c. What is the velocity of Drew after he throws her? (2 points) 75(v) + 55(2) = 0V = 1.47 m/s in the opposite direction. Question 5 (5 points) Claudia goes bungee jumping. She has a mass of 51 kg. a. The bungee cord will stretch 5 m when 200 N of force is applied to it. What is the spring constant of the bungee cord? (1 point) 200=k(5) K= 40 n/m

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b. After her jump, Claudia hangs from the cord motionless. How stretched is the bungee cord past its natural length? (2 points) F=51(9.8) = 499.8N 499.8=40(x) X=12.5 M c. The maximum force the bungee cord can handle without breaking is 15,000 N. How far would you have to stretch it to get it to break? (2 points) f=kx f=15000N 15000 = 40x x=375m

Question 6 (6 points) Dwight uses a spring ( k = 70 N/m) on a horizontal surface to make a launcher for model cars. The spring is attached to a holder that has a mass of 0.3 kg. If he compresses the spring and releases it, the launcher will move back and forth in periodic motion. a. If he compresses the spring by 0.4 m and releases it, what is the acceleration of the launcher as the spring reaches its natural length? (2 points) Since the spring is at its normal length its acceleration is zero b. What is the maximum kinetic energy of the launcher? (2 points) KE= ½(70)(0.4)^2 KE= 5.6 J

c. What is the maximum speed of the launcher? (2 points) 5.6 = 1/2 0.3v^2 v=6.11 m/s Question 7 (3 points) The pirate ship ride at the amusement park is a giant pendulum that riders sit in. It swings back and forth, with a maximum velocity of 20 m/s. If the combined mass of the ride and the passengers is 8000 kg, what is the maximum height of the boat? ½(8000)(20^2)=(8000)(9.8) H H=20.4

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Max height is 20.4 meters Question 8 (9 points) Mars has a mass of 6.4 × 10 23 kg. It has a moon named Deimos with a mass of 1.48 × 10 15 kg. a. If their centers are 23,460 km apart, what is the force of gravity acting on Deimos? (2 points)

F= 3.72 * 10^13 N b. A scientific satellite of mass 800 kg orbits Mars 400 km above its surface. If Mars has a radius of 3396 km, what is the force of gravity acting on the scientific satellite? (3 points) (r+R)^2 2369.97 c. The satellite is in a circular orbit around Mars. How does the kinetic energy of the satellite change as it orbits Mars? (2 points) Kinetic energy will stay the same because the velocity doesn't change. d. How does the gravitational force on the satellite change as it orbits Mars? (2 points) The gravitational force will be stronger the closer it is to the planet. Question 9 (6 points)

A planet orbits a star with the path shown below. a. Label the point on the orbit at which the planet has the most gravitational potential energy. (2 points) GPE is the highest when it is farthest away from sun as shown above b. Label the point on the orbit at which the planet has the highest velocity. (2 points)

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GPE is the highest when it is farthest away from sun as shown above c. On the axis below, draw the general shape of the graph of the planet's gravitational potential energy as it completes one orbit. Start the graph where the planet is shown in the diagram above. (2 points)

physics test

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