University Physics Volume 1 18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: William Moebs, Samuel J. Ling, Jeff Sanny
1 Units And Measurement 2 Vectors 3 Motion Along A Straight Line 4 Motion In Two And Three Dimensions 5 Newton's Law Of Motion 6 Applications Of Newton's Laws 7 Work And Kinetic Energy 8 Potential Energy And Conservation Of Energy 9 Linear Momentum And Collisions 10 Fixed-axis Rotation 11 Angular Momentum 12 Static Equilibrium And Elasticity 13 Gravitation 14 Fluid Mechanics 15 Oscillations 16 Waves 17 Sound Chapter4: Motion In Two And Three Dimensions
Chapter Questions Section: Chapter Questions
Problem 4.1CYU Problem 4.2CYU Problem 4.3CYU: Check Your Understanding A rock is thrown horizontally off a cliff 100.0 m high with a velocity of... Problem 4.4CYU: Check Your Understanding If the two golf shots in Example 4.9 were bunched at the same speed, which... Problem 4.5CYU: Check Your Understanding A flywheel has a radius of 20.0 cm What is the speed of a point on the edge... Problem 4.6CYU: Check Your Understanding A boat heads north in still water at 4.5m/s directly across a river that is... Problem 1CQ: What form does the trajectory of a particle have if the distance from any point Ato point Bis equal... Problem 2CQ: Give an example of a trajectory in two or three dimensions caused by independent perpendicular... Problem 3CQ: If the instantaneous velocity is zero, what can be said about the slope of the position function? Problem 4CQ: If the position function of a particle is a linear function of time, what can be said about its... Problem 5CQ: If an object has a constant x -component of the velocity and suddenly experiences an acceleration in... Problem 6CQ: If an object has a constant x -component of velocity and suddenly experiences an acceleration at an... Problem 7CQ: Answer the following questions for projectile motion on level ground assuming negligible air... Problem 8CQ: Answer the following questions for projectile motion on level ground assuming negligible air... Problem 9CQ: A dime is placed at the edge of a table so it hangs over slightly. A quarter is slid horizontally on... Problem 10CQ: Uniform Circular Motion Can centripetal acceleration change the speed of a particle undergoing... Problem 11CQ: Can tangential acceleration change the speed of a particle undergoing circular motion? Problem 12CQ: Dimensions What frame or frames of reference do you use instinctively when driving a car? When... Problem 13CQ: A basketball player dribbling down the court usually keeps his eyes fixed on the players around him.... Problem 14CQ: If someone is riding in the back of a pickup thick and throws a softball straight backward, is it... Problem 15CQ: The hat of a jogger running at constant velocity falls off the back of his head. Draw a sketch... Problem 16CQ: A clod of dirt falls from the bed of a moving thick. It strikes the ground directly below the end of... Problem 17P: The coordinates of a particle in a rectangular coordinate system are (1.0,4.0,6.0) . What is the... Problem 18P Problem 19P Problem 20P: A bird files straight northeast a distance of 95.0 km for 3.0 h. With the x -axis due east and the y... Problem 21P: A cyclist rides 5.0 km due east, then 10.0 km 20 west of north. From this point she rides 8.0 km due... Problem 22P: New York Rangers defenseman Daniel Girardi stands at the goal and passes a hockey puck 20 m and 45... Problem 23P Problem 24P: Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start... Problem 25P: The F-35B Lighting II is a short-takeoff and vertical landing fighter jet. If it does a vertical... Problem 26P Problem 27P: A particles acceleration is (4.0i+3.0j)m/s2. At t=0, its position and velocity are zero. (a) What... Problem 28P Problem 29P: The position of a particle for t0 is given by r(t)=(3.0t2i7.0t3j5.0t2k)m. (a) What Is the velocity... Problem 30P Problem 31P Problem 32P: A Lockheed Martin F-35 II lighting jet takes off from an aircraft carrier with a runway length of 90... Problem 33P: Projectile Motion A bullet is shot horizontally from shoulder height (1.5 m) with an initial speed... Problem 34P: A marble rolls off a tabletop 1.0 m high and hits the floor at a point 3.0 m away from the table’s... Problem 35P: A dart is thrown horizontally at a speed of 10 m/s at the bull’s-eye of a dartboard 2.4 m away, as... Problem 36P: An airplane flying horizontally with a speed of 500 km/h at a height of 800 m drops a crate of... Problem 37P: Suppose the airplane in the preceding problem fires a projectile horizontally in its direction of... Problem 38P: A fastball pitcher can throw a baseball at a speed of 40 m/s (90 mi/b). (a) Assuming the pitcher can... Problem 39P: A projectile is launched at an angle of 30 and lands 20 s later at the same height as it was... Problem 40P: A basketball player shoots toward a basket 6.1 m ay and 3.0 m above the floor. If the ball is... Problem 41P: At a particular instant, a hot air balloon is 100 m in the air and descending at a constant speed of... Problem 42P: A man on a motorcycle traveling at a uniform speed of 10 m/s throws an empty can straight upward... Problem 43P: An athlete can jump a distance of 8.0 m in the broad jump. What is the maximum distance the athlete... Problem 44P: The maximum horizontal distance a boy can throw a ball is 50 m. Assume he can throw with the same... Problem 45P: A rock is thrown off a cliff at an angle of 53 with respect to the horizontal. The cliff is 100 m... Problem 46P: Trying to escape his pursuers, a secret agent skis off a slope inclined at 30 below the horizontal... Problem 47P: A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20... Problem 48P: A projectile is shot at a hill, the base of which is 300 m away. The projectile is shot at 60 above... Problem 49P: An astronaut on Mars kicks a soccer ball at an angle of 45 with an initial velocity of 15 m/s. If... Problem 50P: Mike Powell holds the record for the long jump of 8.95 m, established in 1991. If he left the ground... Problem 51P: MIT’s robot cheetah can jump over obstacles 46 cm high and has speed of 12.0 km/h. (a) If the robot... Problem 52P: Mt. Asama, Japan, is an active volcano. In 2009, an eruption threw solid volcanic rocks that landed... Problem 53P: Drew Brees of the New Orleans Saints can throw a football 23.0 m/s (50 mph). If he angles the throw... Problem 54P: The Lunar Roving Vehicle used In NASA’s late Apollo missions reached an unofficial lunar land speed... Problem 55P: A soccer goal is 2.44 m high. A player kicks the ball at a distance 10 m from the goal at an angle... Problem 56P: Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a... Problem 57P: In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of... Problem 58P: You throw a baseball at an initial speed of 15.0 m/s at an angle of 30 with respect to the... Problem 59P: Aaron Rodgers throws a football at 20.0 m/s to his wide receiver, who runs straight down the field... Problem 60P: A flywheel is rotating at 30 rev/s. What is the total angle, in radians, through which a point on... Problem 61P: A particle travels in a circle of radius 10 m at a constant speed of 20 m/s. What is the magnitude... Problem 62P: Cam Newton of the Carolina Panthers throws a perfect football spiral at 8.0 rev/s. The radius of a... Problem 63P: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal... Problem 64P: A runner taking part in the 200-m dash must run around the end of a track that has a circular arc... Problem 65P: What is the acceleration of Venus toward the Sun, assuming a circular orbit? Problem 66P: An experimental jet rocket travels around Earth along its equator just above its surface. At what... Problem 67P: A fan is rotating at a constant 360.0 rev/min. What is the magnitude of the acceleration of a point... Problem 68P: A point located on the second hand of a large clock has a radial acceleration of 0.1cm/s2 . How far... Problem 69P Problem 70P Problem 71P Problem 72P: Raindrops fall vertically at 43 m/s relative to the earth. What does an observer in a car moving at... Problem 73P: A seagull can fly at a velocity of 9.00 m/s in still air. (a) If it takes the bird 20.0 mm to travel... Problem 74P: A ship sets sail from Rotterdam, heading due north at 7.00 m/s relative to the water. The local... Problem 75P: A boat can be rowed at 8.0 km/h in still water. (a) How much time is required to row 1.5 km... Problem 76P: A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h,... Problem 77P: A cyclist traveling southeast along a road at 15 km/h feels a wind blowing from the southwest at 25... Problem 78P: A river is moving east at 4 m/s. A boat starts from the dock heading 30 north of west at 7 m/s. If... Problem 79AP: A Formula One race car is traveling at 89.0 m/s along a straight track enters a turn on d race track... Problem 80AP: A particle travels m a circular orbit of radius 10 m. Its speed is changing at a rate of 15.0m/s2 at... Problem 81AP: The driver of a car moving at 90.0km/h presses down on the brake as the car enters a circular curve... Problem 82AP: A race car entering the curved part of the track at the Daytona 500 drops its speed from 85.0 m/s to... Problem 83AP: An elephant is located on Earth’s surface at a latitude . Calculate the centripetal acceleration of... Problem 84AP: A proton in a synchrotron is moving in a circle of radius 1 km and increasing its speed by... Problem 85AP: A propeller blade at rest starts to rotate from t=0 to t=5.0s with a tangential acceleration of the... Problem 86AP: A particle is executing circular motion with a constant angular frequency of =4.00rad/s . If time... Problem 87AP: A particle’s centripetal acceleration is aC=4.0m/s2 at t=0s . It is executing uniform circular... Problem 88AP: A rod 3.0 m in length is rotating at 2.0 rev/s about an axis at one end. Compare the centripetal... Problem 89AP Problem 90AP Problem 91AP Problem 92AP: A crossbow is aimed horizontally at a target 40 m away. The arrow hits 30 cm below the spot at which... Problem 93AP: A long jumper can jump a distance of 8.0 m when he takes off at an angle of 45 with respect to the... Problem 94AP: On planet Arcon, the maximum horizontal range of a projectile launched at 10 m/s is 20 m. What is... Problem 95AP: A mountain biker encounters a jump on a race course that sends him into the air at 60 to the... Problem 96AP: Which has the greater centripetal acceleration, a car with a speed of 15.0 m/s along a circular... Problem 97AP: A geosynchronous satellite orbits Earth at a distance of 42,250.O km and has a period of 1 day. What... Problem 98AP: Two speedboats are traveling at the same speed relative to the water in opposite directions in a... Problem 99CP: World’s Longest Par 3. The tee of the world’s longest par 3 sits atop South Africa’s Hanglip... Problem 100CP: When a field goal kicker kicks a football as hard as he can at 45 to the horizontal, the ball just... Problem 101CP: A truck is traveling east at 80 km/h. At an intersection 32 km ahead, a car is traveling north at 50... Problem 60P: A flywheel is rotating at 30 rev/s. What is the total angle, in radians, through which a point on...
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Concept explainers
A wheel is spinning at 430 rev/s. It undergoes an angular acceleration until it reaches an angular velocity of 574 rev/s.
While accelerating it completed 2412 revolutions determine how long the wheel was accelerating and its angular acceleration at the time
Transcribed Image Text: A wheel is spinning at 430 rev/s. It und
Determine how long the wheel was acce
At-
a
rev/s²
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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