University Physics Volume 1
1st Edition
ISBN: 9781630182137
Author: Samuel J Ling Jeff, Sanny, William Moebs
Publisher: OpenStax
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Chapter 4, Problem 39P
A projectile is launched at an angle of
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4.) The diagram shows the electric field lines of a positively charged conducting sphere of
radius R and charge Q.
A
B
Points A and B are located on the same field line.
A proton is placed at A and released from rest. The magnitude of the work done by the electric field in
moving the proton from A to B is 1.7×10-16 J. Point A is at a distance of 5.0×10-2m from the centre of
the sphere. Point B is at a distance of 1.0×10-1 m from the centre of the sphere.
(a) Explain why the electric potential decreases from A to B. [2]
(b) Draw, on the axes, the variation of electric potential V with distance r from the centre of the
sphere.
R
[2]
(c(i)) Calculate the electric potential difference between points A and B. [1]
(c(ii)) Determine the charge Q of the sphere. [2]
(d) The concept of potential is also used in the context of gravitational fields. Suggest why scientists
developed a common terminology to describe different types of fields. [1]
3.) The graph shows how current I varies with potential difference V across a component X.
904
80-
70-
60-
50-
I/MA
40-
30-
20-
10-
0+
0
0.5
1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
VIV
Component X and a cell of negligible internal resistance are placed in a circuit.
A variable resistor R is connected in series with component X. The ammeter reads 20mA.
4.0V
4.0V
Component X and the cell are now placed in a potential divider circuit.
(a) Outline why component X is considered non-ohmic. [1]
(b(i)) Determine the resistance of the variable resistor. [3]
(b(ii)) Calculate the power dissipated in the circuit. [1]
(c(i)) State the range of current that the ammeter can measure as the slider S of the potential divider
is moved from Q to P. [1]
(c(ii)) Describe, by reference to your answer for (c)(i), the advantage of the potential divider
arrangement over the arrangement in (b).
Chapter 4 Solutions
University Physics Volume 1
Ch. 4 - Prob. 4.1CYUCh. 4 - Prob. 4.2CYUCh. 4 - Check Your Understanding A rock is thrown...Ch. 4 - Check Your Understanding If the two golf shots in...Ch. 4 - Check Your Understanding A flywheel has a radius...Ch. 4 - Check Your Understanding A boat heads north in...Ch. 4 - What form does the trajectory of a particle have...Ch. 4 - Give an example of a trajectory in two or three...Ch. 4 - If the instantaneous velocity is zero, what can be...Ch. 4 - If the position function of a particle is a linear...
Ch. 4 - If an object has a constant x -component of the...Ch. 4 - If an object has a constant x -component of...Ch. 4 - Answer the following questions for projectile...Ch. 4 - Answer the following questions for projectile...Ch. 4 - A dime is placed at the edge of a table so it...Ch. 4 - Uniform Circular Motion Can centripetal...Ch. 4 - Can tangential acceleration change the speed of a...Ch. 4 - Dimensions What frame or frames of reference do...Ch. 4 - A basketball player dribbling down the court...Ch. 4 - If someone is riding in the back of a pickup thick...Ch. 4 - The hat of a jogger running at constant velocity...Ch. 4 - A clod of dirt falls from the bed of a moving...Ch. 4 - The coordinates of a particle in a rectangular...Ch. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - A bird files straight northeast a distance of 95.0...Ch. 4 - A cyclist rides 5.0 km due east, then 10.0 km 20...Ch. 4 - New York Rangers defenseman Daniel Girardi stands...Ch. 4 - Prob. 23PCh. 4 - Clay Matthews, a linebacker for the Green Bay...Ch. 4 - The F-35B Lighting II is a short-takeoff and...Ch. 4 - Prob. 26PCh. 4 - A particles acceleration is (4.0i+3.0j)m/s2. At...Ch. 4 - Prob. 28PCh. 4 - The position of a particle for t0 is given by...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A Lockheed Martin F-35 II lighting jet takes off...Ch. 4 - Projectile Motion A bullet is shot horizontally...Ch. 4 - A marble rolls off a tabletop 1.0 m high and hits...Ch. 4 - A dart is thrown horizontally at a speed of 10 m/s...Ch. 4 - An airplane flying horizontally with a speed of...Ch. 4 - Suppose the airplane in the preceding problem...Ch. 4 - A fastball pitcher can throw a baseball at a speed...Ch. 4 - A projectile is launched at an angle of 30 and...Ch. 4 - A basketball player shoots toward a basket 6.1 m...Ch. 4 - At a particular instant, a hot air balloon is 100...Ch. 4 - A man on a motorcycle traveling at a uniform speed...Ch. 4 - An athlete can jump a distance of 8.0 m in the...Ch. 4 - The maximum horizontal distance a boy can throw a...Ch. 4 - A rock is thrown off a cliff at an angle of 53...Ch. 4 - Trying to escape his pursuers, a secret agent skis...Ch. 4 - A golfer on a fairway is 70 m away from the green,...Ch. 4 - A projectile is shot at a hill, the base of which...Ch. 4 - An astronaut on Mars kicks a soccer ball at an...Ch. 4 - Mike Powell holds the record for the long jump of...Ch. 4 - MIT’s robot cheetah can jump over obstacles 46 cm...Ch. 4 - Mt. Asama, Japan, is an active volcano. In 2009,...Ch. 4 - Drew Brees of the New Orleans Saints can throw a...Ch. 4 - The Lunar Roving Vehicle used In NASA’s late...Ch. 4 - A soccer goal is 2.44 m high. A player kicks the...Ch. 4 - Olympus Mons on Mars is the largest volcano in the...Ch. 4 - In 1999, Robbie Knievel was the first to jump the...Ch. 4 - You throw a baseball at an initial speed of 15.0...Ch. 4 - Aaron Rodgers throws a football at 20.0 m/s to his...Ch. 4 - A flywheel is rotating at 30 rev/s. What is the...Ch. 4 - A particle travels in a circle of radius 10 m at a...Ch. 4 - Cam Newton of the Carolina Panthers throws a...Ch. 4 - A fairground ride spins its occupants inside a...Ch. 4 - A runner taking part in the 200-m dash must run...Ch. 4 - What is the acceleration of Venus toward the Sun,...Ch. 4 - An experimental jet rocket travels around Earth...Ch. 4 - A fan is rotating at a constant 360.0 rev/min....Ch. 4 - A point located on the second hand of a large...Ch. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Raindrops fall vertically at 43 m/s relative to...Ch. 4 - A seagull can fly at a velocity of 9.00 m/s in...Ch. 4 - A ship sets sail from Rotterdam, heading due north...Ch. 4 - A boat can be rowed at 8.0 km/h in still water....Ch. 4 - A small plane flies at 200 km/h in still air. If...Ch. 4 - A cyclist traveling southeast along a road at 15...Ch. 4 - A river is moving east at 4 m/s. A boat starts...Ch. 4 - A Formula One race car is traveling at 89.0 m/s...Ch. 4 - A particle travels m a circular orbit of radius 10...Ch. 4 - The driver of a car moving at 90.0km/h presses...Ch. 4 - A race car entering the curved part of the track...Ch. 4 - An elephant is located on Earth’s surface at a...Ch. 4 - A proton in a synchrotron is moving in a circle of...Ch. 4 - A propeller blade at rest starts to rotate from...Ch. 4 - A particle is executing circular motion with a...Ch. 4 - A particle’s centripetal acceleration is...Ch. 4 - A rod 3.0 m in length is rotating at 2.0 rev/s...Ch. 4 - Prob. 89APCh. 4 - Prob. 90APCh. 4 - Prob. 91APCh. 4 - A crossbow is aimed horizontally at a target 40 m...Ch. 4 - A long jumper can jump a distance of 8.0 m when he...Ch. 4 - On planet Arcon, the maximum horizontal range of a...Ch. 4 - A mountain biker encounters a jump on a race...Ch. 4 - Which has the greater centripetal acceleration, a...Ch. 4 - A geosynchronous satellite orbits Earth at a...Ch. 4 - Two speedboats are traveling at the same speed...Ch. 4 - World’s Longest Par 3. The tee of the world’s...Ch. 4 - When a field goal kicker kicks a football as hard...Ch. 4 - A truck is traveling east at 80 km/h. At an...
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