Solutions for University Physics Volume 1
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 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 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 27P:
A particles acceleration is (4.0i+3.0j)m/s2. At t=0, its position and velocity are zero. (a) What...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 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 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 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 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...Browse All Chapters of This Textbook
Chapter 1 - Units And MeasurementChapter 2 - VectorsChapter 3 - Motion Along A Straight LineChapter 4 - Motion In Two And Three DimensionsChapter 5 - Newton's Law Of MotionChapter 6 - Applications Of Newton's LawsChapter 7 - Work And Kinetic EnergyChapter 8 - Potential Energy And Conservation Of EnergyChapter 9 - Linear Momentum And CollisionsChapter 10 - Fixed-axis Rotation
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