Dynamics of Rigid Bodies Sample Problems. physics sample problems.Full description
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Dynamics of Rigid Bodies MULTIPLE CHOICES Direction. Read each statement/question carefully. Choose the letter of the best answer. 1. What is the acceleration of the body that increases increases in velocity from 20m/s to 40m/s in 3 seconds? Answer in S.I. units a. 8m/s2 c. 5m/s2 b. 6.67m/s2 d. 7m/s2 2. From a speed of 75 kph, a car decelerates at the rate of 500m/min2 along a straight path. How far in meters, will it travel in 45 sec? a. 795 c. 797 b. 791 d. 793 3. With a starting speed of of 30 kph at point A, a car accelerates uniformly. After After 18 minutes, it reaches point B, 21 km from A. find the acceleration of the car in m/s2? a. 0.126m/s2 c. 0.0206m/s2 b. 0.0562m/s2 d. 3.42m/s2 4. A train upon passing point A at a speed of 72 kph accelerates at 0.75m/s2 for one minute along a straight path then decelerates at 1.0m/s2. How far in kilometers from point A will it be 2 minutes after passing point A. a. 4.95 c. 4.85 b. 4.75 d. 4.65 5. A car starting from rest moves with a constant acceleration of 10 km/hr2 for 1 hour, then decelerates at a constant -5 km/hr2 until it comes to a stop. How far has it travelled? a. 10 km c. 12km b. 20km d. 15km 6. The velocity of an automobile starting from rest is given by ds/dt=90t/(t+10) ft./sec. Determine its acceleration after an interval of 10 seconds (in ft/sec2). a. 2.10 c. 2.25 b. 1.71 d. 2.75 7. A was travelling at a speed of 50mph. the the driver saw a road block 80m ahead and stepped on the brake causing the car to decelerate uniformly at 10m/s2. Find the distance from the roadblock to the point where the car stopped. Assume perception reaction time is 2 seconds. a. 12.48 c. 10.28m b. 6.25 d. 8.63m
8. A man standing at window 5 meters tall watches a falling stone pass by the window in 0.3 seconds. From how high above the top of the window was the stone released? a. 12.86m c. 9.54m b. 11.77m d. 15.21m 9. The muzzle velocity of a projectile is 1,500 fps and the distance of the target is 10 miles. What must be the angle of elevation of the gun? a. 25° 33’ c. 24° 33’ b. 23° 34’ d. 26° 34’ 10. What is the range of a projectile if the initial velocity is 30m/s at an angle of 30° with the horizontal? a. 100m c. 79.45m b. 792m d. 110m 11. A ball is thrown from a tower 30m high above the ground with a velocity of 300m/s directed at 20° from the horizontal. How long will the ball hit the ground? a. 24.2 c. 21.2 b. 23.2 d. 22.2 12. A plane is flying horizontally 350kph at an altitude of 420m. at this instant, a bomb is released. How far horizontally from this point will the bomb hit the ground? a. 625m c. 785m b. 577m d. 900m 13. A 50-kilogram block of wood rest on the top of the smooth plane whose length is 3m and whose altitude is 0.8m. How long will it take for the block to slide to the bottom of the plane when released? a. 1.51 seconds c. 2.51 seconds b. 2.41 seconds d. 2.14 seconds 14. A car and its load weighs 27 kN and the center of gravity is 600 mm from the ground and midway between the front and rear wheel which are 3m apart. The car is brought to rest from a speed of 54kph in 5 seconds by means of the brakes. Compute the normal force on each of the front wheels of the car. a. 7.576 kN c. 5.478 kN b. 9.541 kN d. 6 kN 15. The seats of a carousel are attached to a vertical rotating shaft by a flexible cable 8m long. The seats have a mass of 75kg. What is the maximum angle of tilt for the seats if the carousel operates at 12rpm? a. 30° c. 45° b. 35° d.39°
16. A highway curve is super elevated at 7°. Find the radius of the curve if there is no lateral pressure on the wheels of a car at a speed of 40 mph. a. 247.4m c. 229.6m b. 265.6m d. 285.3m 17. A 3500 Ibf car is towing a 500 lbf trailer. The coefficient of friction between all tires and the road is 0.80. How fast can the car and trailer travel around an unbanked curve of radius 0.12 miles without either the car or trailer skidding? a. 87mph c. 26mph b. 72mph d. 55mph 18. At her highest point, a girl on the swing is 7 feet above the ground, and at her lowest point, she is 3 feet above the ground. What is her maximum velocity? a. 10fps c. 14fps b. 12fps d. 16fps 19. A hunter fires a 50 gram bullet at a tiger. The bullet left the gun with a speed of 600m/s. what is the momentum of the bullet? a. 15kg-m/s c. 300kg-m/s b. 30kg-m/s d. 150kg-m/s 20. An elevator can lift a load of 5000 N from the ground level to a height of 20 meters in 10 seconds. Find the horsepower rating of the elevator. a. 10000 c. 13.4 b. 13400 d. 1340 21. A 4000-kg elevator starts from rest accelerates uniformly to a constant speed of 2.m/s and decelerates uniformly to stop 20m above its initial position. Neglecting the friction and other losses, what work was done on the elevator? a. 785x10ᵌ Joule c. 900x10ᵌ Joule b. 700x10ᵌ Joule d. 685x10ᵌ Joule 22. The brakes of 1000-kg automobile exert 3000N. How long will it take for the car to come to a complete stop from a velocity of 30m/s? a. 15 sec c. 5 sec b. 10 sec d. 2 sec 23. A car weighing 40 tons is switched to a 2% upgrade with a velocity of 30 mph. if the train resistance is 10lbs/ton, how far up the grade will it go? a. 1124ft c. 1204ft b. 2104ft d. 1402ft 24. A 16 gram mass is moving at 30cm/s while a 4-gram mass is moving in an opposite direction at 50cm/s. they collide head on the stick together. Their velocity after collision is: a. 14cm/s c. 13cm/s b. 15cm/s d. 18cm/s
25. A 5-kg rifle a 15-g bullet at a muzzle velocity of 600m/s. What is the recoil velocity of the rifle? a. 1800m/s c. 18m/s b. 180m/s d. 1.80m/s 26. A 0.50-kg ball with a speed of 20m/s strikes and sticks to a 70-kg block resting on a frictionless surface. Find the block’s velocity. a. 142m/s c. 1.42m/s b. 14.2m/s d. 0.142m/s The 300-Newton block shown in the Figure is at rest on the rough horizontal plane before the force P is applied at t=0. The force P=80t, where P is the Newtons and t is in seconds.
27. Which of the following most nearly gives the time, in seconds, when the block starts to slide? a. 2.34 c. 1.76 b. 2.25 d. 3.21 28. Which of the following most nearly gives the velocity of the block, in meters per second, after five seconds? a. 24.5 c. 14.6 b. 12.1 d. 18.3 29. Which of the following most nearly gives the distance travelled by the block, in meters, after five seconds? a. 16.6 c. 18.5 b. 12.2 d. 10.8 30. Traffic travels at 65 mi/hr around a banked highway curve with a radius of 3000 ft. What banking angle is necessary such that friction will not be required to resist the centrifugal force? a. 5.4° c. 3.2° b. 18° d. 2.5° Answer key 1.b 2.c 3.c
4.d 5d 6.c 7.c 8.b 9c 10 c 11 c 12 d 13 a 14 a 15 d 16 b 17 a 18 a 19 d 20 b 21 c 22 a 23 b 24 c 25 a 26 d 27 d 28 b
