Summary

This document contains a collection of physics problems, covering various concepts in mechanics. The problems deal with topics including acceleration, velocity, speed, and displacement. The problems and solutions are suitable for high school or introductory college physics courses.

Full Transcript

## Physics Problems ### Problem 1 While taking off from an aircraft carrier, a jet starting from rest accelerates uniformly to a final speed of 40. meters per second on a runway that is 70. meters long. What is the magnitude of the acceleration of the jet? - 0.29 m/s² - 0.57 m/s² - 1.8 m/s² - **1...

## Physics Problems ### Problem 1 While taking off from an aircraft carrier, a jet starting from rest accelerates uniformly to a final speed of 40. meters per second on a runway that is 70. meters long. What is the magnitude of the acceleration of the jet? - 0.29 m/s² - 0.57 m/s² - 1.8 m/s² - **11 m/s²** ### Problem 2 **Base your answer to the question on the information and diagram below.** A model airplane heads due east at 1.50 meters per second, while the wind blows due north at 0.70 meter per second. The scaled diagram below represents these vector quantities. **Determine the magnitude of the resultant velocity** - 1.5 m/s - 2.25 m/s - 0.49 m/s - **1.7 m/s** ### Problem 3 **Base your answer to the question on the information below.** In a drill during basketball practice, a player runs the length of the 30.-meter court and back. The player does this three times in 60. seconds. **The average speed of the player during the drill is** - 0.0 m/s - 0.50 m/s - **3.0 m/s** - 30. m/s ### Problem 4 The speed of an object undergoing constant acceleration increases from 8.0 meters per second to 16.0 meters per second in 10. seconds. How far does the object travel during the 10. seconds? - 3.6 x 10² m - 1.6 x 10² m - **1.2 x 10² m** - 8.0 x 10¹ m ### Problem 5 A delivery truck makes a trip from Akron to Columbus. The truck departs from Akron at 4:00 p.m. and arrives at Columbus at 6:00 p.m. The truck travels a distance of 120 miles. **What is the average speed of the truck during the entire journey?** - 20 miles per hour - 30 miles per hour - **60 miles per hour** - 65 miles per hour ### Problem 6 Starting from rest, a car travels 18 meters as it accelerates uniformly for 3.0 seconds. What is the magnitude of the car's acceleration? - 6.0 m/s² - 2.0 m/s² - 3.0 m/s² - **4.0 m/s²** ### Problem 7 **Base your answer to this question on the graph below, which represents the motion of a car during a 6.0-second time interval.** **What is the acceleration of the car at t = 5.0 seconds?** - **0.0 m/s²** - 2.0 m/s² - 2.5 m/s² - 10. m/s² ### Problem 8 What is the final speed of an object that starts from rest and accelerates uniformly at 4.0 meters per second² over a distance of 8.0 meters? - **8.0 m/s** - 16 m/s - 32 m/s - 64 m/s ### Problem 9 Scalar is to vector as - **speed is to velocity** - displacement is to distance - displacement is to velocity - speed is to distance ### Problem 10 Car A, moving in a straight line at a constant speed of 20. meters per second, is initially 200 meters behind car B, moving in the same straight line at a constant speed of 15 meters per second. How far must car A travel from this initial position before it catches up with car B? - 200 m - 400 m - **800 m** - 1000 m ### Problem 11 Which pair of quantities represent scalar quantities? - displacement and velocity - displacement and time - energy and velocity - **energy and time** ### Problem 12 An object accelerates uniformly from 3.0 meters per second east to 8.0 meters per second east in 2.0 seconds. What is the magnitude of the acceleration of the object? - **2.5 m/s²** - 5.0 m/s² - 5.5 m/s² - 11 m/s² ### Problem 13 A ball is rolling horizontally at 3.00 meters per second as it leaves the edge of a tabletop 0.750 meter above the floor. The ball lands on the floor 0.391 second after leaving the tabletop. What is the magnitude of the ball's acceleration 0.200 second after it leaves the tabletop? [Neglect friction.] - 1.96 m/s² - 7.65 m/s² - **9.81 m/s²** - 15.3 m/s² ### Problem 14 A rock falls from rest a vertical distance of 0.72 meter to the surface of a planet in 0.63 second. The magnitude of the acceleration due to gravity on the planet is - 1.1 m/s² - 2.3 m/s² - **3.6 m/s²** - 9.8 m/s² ### Problem 15 Which term identifies a scalar quantity? - displacement - momentum - velocity - **time** ### Problem 16 A high-speed train in Japan travels a distance of 300. kilometers in 3.60 x 10<sup>3</sup> seconds. What is the average speed of this train? - 1.20 x 10<sup>-2</sup> m/s - 8.33 x 10<sup>-2</sup> m/s - 12.0 m/s - **83.3 m/s** ### Problem 17 An object starts from rest and falls freely for 40. meters near the surface of planet P. If the time of fall is 4.0 seconds, what is the magnitude of the acceleration due to gravity on planet P? - 0 m/s² - 1.3 m/s² - **5.0 m/s²** - 10. m/s² ### Problem 18 A car, initially traveling east with a speed of 5.0 meters per second, is accelerated uniformly at 2.0 meters per second² east for 10. seconds along a straight line. During this 10.-second interval the car travels a total distance of - 50. m - 60. m - 1.0 x 10² m - **1.5 x 10² m** ### Problem 19 **Base your answer to the question on the information below.** In a drill during basketball practice, a player runs the length of the 30.-meter court and back. The player does this three times in 60. seconds. **The magnitude of the player's total displacement after running the drill is** - **0.0 m** - 30. m - 60. m - 180 m ### Problem 20 If a car accelerates uniformly from rest to 15 meters per second over a distance of 100. meters, the magnitude of the car’s acceleration is - 0.15 m/s² - **1.1 m/s²** - 2.3 m/s² - 6.7 m/s² ### Problem 21 The graph below represents the relationship between velocity and time for an object moving along a straight line. **What is the magnitude of the object's acceleration?** - 5.0 m/s² - 8.0 m/s² - **10. m/s²** - 20. m/s² ### Problem 22 A ball is thrown vertically upward with an initial velocity of 29.4 meters per second. What is the maximum height reached by the ball? [Neglect friction.] - 14.7 m - 29.4 m - **44.1 m** - 88.1 m ### Problem 23 A 4.0-kilogram object is accelerated at 3.0 meters per second² north by an unbalanced force. The same unbalanced force acting on a 2.0-kilogram object will accelerate this object toward the north at - 12 m/s² - **6.0 m/s²** - 3.0 m/s² - 1.5 m/s² ### Problem 24 At the bottom of a hill, a car has an initial velocity of +16.0 meters per second. The car is uniformly accelerated at -2.20 meters per second squared for 5.00 seconds as it moves up the hill. How far does the car travel during this 5.00-second interval? - 107 m - 74.5 m - **52.5 m** - 25.0 m ### Problem 25 A car with an initial velocity of 16.0 meters per second east slows uniformly to 6.0 meters per second east in 4.0 seconds. What is the acceleration of the car during this 4.0-second interval? - **2.5 m/s² west** - 2.5 m/s² east - 4.0 m/s² west - 4.0 m/s² east ### Problem 26 A car traveling on a straight road at 15.0 meters per second accelerates uniformly to a speed of 21.0 meters per second in 12.0 seconds. The total distance traveled by the car in this 12.0-second time interval is - 36.0 m - 180. m - **216 m** - 252 m ### Problem 27 A ball is hit straight up with an initial speed of 28 meters per second. What is the speed of the ball 2.2 seconds after it is hit? [Neglect friction.] - 4.3 m/s - **6.4 m/s** - 22 m/s - 28 m/s ### Problem 28 A hiker travels 1.0 kilometer south, turns and travels 3.0 kilometers west, and then turns and travels 3.0 kilometers north. What is the total distance traveled by the hiker? - 3.2 km - 3.6 km - 5.0 km - **7.0 km** ### Problem 29 A baseball dropped from the roof of a tall building takes 3.1 seconds to hit the ground. How tall is the building? [Neglect friction.] - 15 m - 30 m - **47 m** - 94 m ### Problem 30 A car, initially traveling at 15 meters per second north, accelerates to 25 meters per second north in 4.0 seconds. The magnitude of the average acceleration is - **2.5 m/s²** - 6.3 m/s² - 10. m/s² - 20. m/s² ### Problem 31 A motorboat, which has a speed of 5.0 meters per second in still water, is headed east as it crosses a river flowing south at 3.3 meters per second. What is the magnitude of the boat's resultant velocity with respect to the starting point? - 3.3 m/s - 5.0 m/s - **6.0 m/s** - 8.3 m/s ### Problem 32 A truck, initially traveling at a speed of 22 meters per second, increases speed at a constant rate of 2.4 meters per second² for 3.2 seconds. What is the total distance traveled by the truck during this 3.2-second time interval? - 12 m - 58 m - 70. m - **83 m** ### Problem 33 A sailboat on a lake sails 40. meters north and then sails 40. Meters due east. Compared to its starting position, the new position of the sailboat is - 40. m due east - 40. m due north - **57. m northeast** - 80. m northeast ### Problem 34 A car traveling in a straight line at an initial speed of 8.0 meters per second accelerates uniformly to a speed of 14 meters per second over a distance of 44 meters. What is the magnitude of the acceleration of the car? - 0.41 m/s² - **1.5 m/s²** - 3.0 m/s² - 2.2 m/s² ### Problem 35 The graph below shows the relationship between the speed and elapsed time for an object falling freely from rest near the surface of a planet. **What is the total distance the object falls during the first 3.0 seconds?** - 12 m - **24 m** - 44 m - 72 m ### Problem 36 What is the time required for an object starting from rest to fall freely 500. meters near Earth’s surface? - 51.0 s - 25.5 s - **10.1 s** - 7.14 s ### Problem 37 Which quantities are scalar? - **speed and work** - velocity and force - distance and acceleration - momentum and power ### Problem 38 Which graph represents the motion of an object traveling with a positive velocity and a negative acceleration? - Image of a graph with positive slope - **Image of a graph with a decreasing slope** - Image of a graph with negative slope - Image of a graph with an increasing slope

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