Answered: An unknown mass and a 12 kg mass are…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter4: Dynamics: Force And Newton's Laws Of Motion

Section: Chapter Questions

Problem 16PE: A brave but inadequate rugby player is being pushed backward by an opposing player who is exerting a...

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An unknown mass and a 12 kg mass are tied to a light string and hung over a frictionless pulley. If the tension in the string is 50 N, what is the unknown mass? a. 3.24 kg c. 5.24 kg b. 4.24 kg d. 6.24 kg A shipping crate that weighs 300 N is initially stationary on a loading dock. A forklift arrives and lifts the crate with an upward force of 520 N, accelerating the crate upward. What is the magnitude of the force due to gravity acting on the shipping crate while it is accelerating upward? a. 18 m/s2 c. 19 m/s2 b. 17 m/s2 d. 16 m/s2 The gravitational acceleration on the Moon is a sixth of that on Earth. The weight of an apple is 1.00 N on Earth. 8. What is the weight of the apple on the Moon? a. 6 N c. 6 lb b. 1/6 N d. 1/6 lb 9. What is the mass of the apple? a. 6 kg c. 0.102 kg b. 1/6 kg d. 0.202 kg PROBLEM 9 10. A 430 N force accelerates a cart from 10 m/s to 18 m/s in 5 s. What is the mass of the cart? a. 278.75 kg c. 288.75 kg b. 268.75 kg d. 298.75 kg PROBLEM 10 11. An elevator cabin has a mass of 380 kg, and the combined mass of the people inside the cabin is 180 kg. The cabin is pulled upward by a cable, in which there is a tension force of 7600 N. What is the acceleration of the elevator? a. 3.76 m/s2 c. 3.76 m/s2 b. 3.76 m/s2 d. 3.76 m/s2 PROBLEM 11 12. Four weights, of masses m1 = 6.50 kg, m2 = 3.80 kg, m3 = 10.50 kg, and m4 = 4.50 kg, are hanging from a ceiling as shown in the figure. They are connected with ropes. What is the tension in the rope connecting masses m1 and m2? a. 184.43 N b. 184.43 N c. 184.43 N d. 184.43 N PROBLEM 12 A hanging mass, M1 = 3.5 kg, is attached by a light string that runs over a frictionless pulley to the front of a mass M2 = 1.50 kg that is initially at rest on the table. A third mass M3 = 2.50 kg, which is also initially at rest on the same table, is attached to the back of M2 by a light string. The coefficient of kinetic friction of all contact surfaces is 0.1. 13. Find the tension in the string connecting masses M1 and M2. a. 247.21 N c. 217.21 N b. 237.21 N d. 227.21 N 14. Find the tension in the string connecting masses M2 and M3. a. 50.82 N c. 40.82 N b. 60.82 N d. 30.82 N PROBLEM 13 15. A hanging mass, M1 = 0.5 kg, is attached by a light string that runs over a frictionless pulley to a mass M2 = 1.5 kg that is initially at rest on a frictionless ramp. The ramp is at an angle of θ = 30.0° above the horizontal and the pulley is at the top of the ramp. Find the magnitude and direction of the acceleration of M1. a. 4.905 m/s2 , upward c. 4.905 m/s2 , upward b. 4.805 m/s2 , downward d. 4.805 m/s2 , downward PROBLEM 14 Arriving on a newly discovered planet, the captain of a spaceship performed the following experiment to calculate the gravitational acceleration for the planet: She placed masses of 100 g and 200 g on an Atwood device made of massless string and a frictionless pulley and measured that it took 1.5 seconds for each mass to travel 1 m from rest. 16. What is the gravitational acceleration for the planet? a. 2.867 m/s2 c. 2.967 m/s2 b. 2.767 m/s2 d. 2.667 m/s2 17. What is the tension in the string? a. 0.356 N c. 0.366 N b. 0.346 N d. 0.376 N PROBLEM 15 18. A crate slides down an inclined plane without friction. If it is released from rest and reaches a speed of 6 m/s after sliding a distance of 2.5 m, what is the angle of inclination of the plane with respect to the horizontal? a. 43.22˚ c. 45.22˚ b. 41.22˚ d. 47.22˚ PROBLEM 16 19. A skier starts with a speed of 2 m/s and skis straight down a slope with an angle of 15˚ relative to the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.1. What is her speed after 10 s? a. 16.91 m/s2 c. 18.91 m/s2 b. 17.91 m/s2 d. 19.91 m/s2

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