University Physics Volume 1
1st Edition
ISBN: 9781630182137
Author: Samuel J Ling Jeff, Sanny, William Moebs
Publisher: OpenStax
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Chapter 10, Problem 80P
A torque 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).
1.) Two long parallel current-carrying wires P and Q are separated by 0.10 m. The current in wire P is 5.0 A.
The magnetic force on a length of 0.50 m of wire P due to the current in wire Q is 2.0 × 10-s N.
(a) State and explain the magnitude of the force on a length of 0.50 m of wire Q due to the current in P. [2]
(b) Calculate the current in wire Q. [2]
(c) Another current-carrying wire R is placed parallel to wires P and Q and halfway between them as shown.
wire P
wire R
wire Q
0.05 m
0.05 m
The net magnetic force on wire Q is now zero.
(c.i) State the direction of the current in R, relative to the current in P.[1]
(c.ii) Deduce the current in R. [2]
Chapter 10 Solutions
University Physics Volume 1
Ch. 10 - Check Your Understanding The fan blades on a...Ch. 10 - Check Your Understanding A centrifuge used in DNA...Ch. 10 - Check Your Understanding A boy jumps on a...Ch. 10 - Check Your Understanding A nuclear submarine...Ch. 10 - Check Your Understanding What is the moment of...Ch. 10 - Check Your Understanding A large ocean-going ship...Ch. 10 - Check Your Understanding The fan blades on a jet...Ch. 10 - Check Your Understanding A constant torque of...Ch. 10 - A clock is mounted on the wall. As you look at it,...Ch. 10 - What is the value of the angular acceleration of...
Ch. 10 - A baseball bat is swung. Do all points on the bat...Ch. 10 - The blades of a blender on a counter are rotating...Ch. 10 - If a rigid body has a constant angular...Ch. 10 - If a rigid body has a constant angular...Ch. 10 - If the angular acceleration of a rigid body is...Ch. 10 - A massless tether with a masses tied to both ends...Ch. 10 - Explain why centripetal acceleration changes the...Ch. 10 - In circular motion, a tangential acceleration can...Ch. 10 - Suppose a piece of food is on the edge of a...Ch. 10 - What if another planet the same size as Earth were...Ch. 10 - A solid sphere is rotating about an axis through...Ch. 10 - If a child walks toward the center of a...Ch. 10 - A discus thrower rotates with a discus in his hand...Ch. 10 - Does increasing the number of blades on a...Ch. 10 - The moment of inertia of a long rod spun around an...Ch. 10 - Why is the moment of inertia of a hoop that has a...Ch. 10 - What three factors affect the torque created by a...Ch. 10 - Give an example in which a small force exerts a...Ch. 10 - When reducing the mass of a racing bike, the...Ch. 10 - Can a single force produce a zero torque?Ch. 10 - Can a set of forces have a net torque that is zero...Ch. 10 - Can a set of forces have a net force that is zero...Ch. 10 - Prob. 25CQCh. 10 - If you were to stop a spinning wheel with a...Ch. 10 - Prob. 27CQCh. 10 - Calculate the angular velocity of Earth.Ch. 10 - A track star runs a 400-m race on a 400-m circular...Ch. 10 - A wheel rotates at a constant rate of...Ch. 10 - A particle moves 3.0 m along a circle of radius...Ch. 10 - A compact disc rotates at 500 rev/min. If the...Ch. 10 - Unreasonable results. The propeller of an aircraft...Ch. 10 - A gyroscope slows from an initial rate of 32.0...Ch. 10 - On takeoff, the propellers on a UAV (unmanned...Ch. 10 - The angular position of a rod varies as...Ch. 10 - A wheel has a constant angular acceleration of...Ch. 10 - During a 6.0-s time interval, a fly-wheel with a...Ch. 10 - The angular velocity of a rotating rigid body...Ch. 10 - A flywheel slows from 600 to 400 rev/min while...Ch. 10 - A wheel 1.0 m in diameter rotates with an angular...Ch. 10 - A vertical wheel with a diameter of 50 cm starts...Ch. 10 - A circular disk of radius 10 cm has a contant...Ch. 10 - The angular velocity vs. time for a fan on a...Ch. 10 - A rod of length 20 cm has two beads attached to...Ch. 10 - At its peak, a tornado is 60.0 m in diameter and...Ch. 10 - A man stands on a merry-go-round that is rotating...Ch. 10 - An ultracentrifuge accelerates from to 100,000 rpm...Ch. 10 - A wind turbine is rotating conterclockwise at 0.5...Ch. 10 - What is (a) the angular speed and (b) the linear...Ch. 10 - A child with mass 40 kg sits on the edge of a...Ch. 10 - A bicycle wheel with radius 0.3 m rotates from...Ch. 10 - The angular velocity of a flywheel with radius 1.0...Ch. 10 - A system of point particles is shown in the...Ch. 10 - (a) Calculate the rotational kinetic energy of...Ch. 10 - Calculate the rotational kinetic energy of a 12-kg...Ch. 10 - A baseball pitcher throws the ball in a motion...Ch. 10 - A diver goes into a somersault during a dive by...Ch. 10 - An aircraft is coming in for a landing at 300...Ch. 10 - If air resistance is present in the preceding...Ch. 10 - A neutron star of mass 21030kg and radius 10 km...Ch. 10 - An electric sander consisting of a rotating disk...Ch. 10 - A system consists of a disk of mass 2.0 kg and...Ch. 10 - While punting a football, a kicker rotates his leg...Ch. 10 - Using the parallel axis theorem, what is the...Ch. 10 - Find the moment of inertia of the rod in the...Ch. 10 - A uniform rod of mass 1.0 kg and length 2.0 m is...Ch. 10 - A pendulum consists of a rod of mass 2 kg and...Ch. 10 - A solid sphere of radius 10 cm is allowed to...Ch. 10 - Calculate the moment of inertia by direct...Ch. 10 - Two flywheel fo negligible mass and different...Ch. 10 - The cylindrical head bolts on a car are to be...Ch. 10 - (a) When opening a door, you push on it...Ch. 10 - When tightening a bolt, you push perpendicularly...Ch. 10 - What hanging mass must be placed on the cord to...Ch. 10 - A simple pendulum consists of a massless tether 50...Ch. 10 - Calculate the torque about the z-axis that is out...Ch. 10 - A seesaw has length 10.0 m and uniform mass 10.0...Ch. 10 - A pendulum consists ofa rod of mass 1 kg and...Ch. 10 - A torque of 5.00103Nm is required to raise a...Ch. 10 - A horizontal beam of length 3 m and mass 2.0 kg...Ch. 10 - What force must be applied to end of a rod along...Ch. 10 - What is the torque abot the origin of the force if...Ch. 10 - You have a grindstone (a disk) that is 90.0 kg,...Ch. 10 - Suppose you exert a force of 180 N tangential to a...Ch. 10 - A flywheel (l=50kgm2) starting from rest acquires...Ch. 10 - A constant torque is applied to a rigid body whose...Ch. 10 - A torque of 50.0Nm is applied to a grinding wheel...Ch. 10 - A flywheel (I=100.0kgm2) rotating at 500.0 rev/min...Ch. 10 - A uniform cylindrical grinding wheel of mass 50.0...Ch. 10 - Suppose when Earth was created, it was not...Ch. 10 - A pulley of moment of inertia 2.0kgm2 is mounted...Ch. 10 - A block of mass 3 kg slides down an inclined plane...Ch. 10 - The cart shown below moves across the table top as...Ch. 10 - A uniform rod of mass and length is held...Ch. 10 - A thin stick of mass 0.2 kg and length L=0.5m is...Ch. 10 - A wind turbine rotates at 20 rev/min. If its power...Ch. 10 - A clay cylinder of radius 20 cm on a potter’s...Ch. 10 - A uniform cylindrical grindstion has a mass of 10...Ch. 10 - A uniform disk of mass 500 kg and radius 0.25 m is...Ch. 10 - A propeller is accelerated from rest to an angular...Ch. 10 - A sphere of mass 1.0 kg and radius 0.5 m is...Ch. 10 - A uniform rod of length L and mass M is held...Ch. 10 - An athlete in a gym applies a constant force of 50...Ch. 10 - A 2-kg block on a frictionless inclined plane at...Ch. 10 - Small bodies of mass m1 and m2 are attached to...Ch. 10 - A cyclist is riding such that the wheels of the...Ch. 10 - Calculate the angular velocity of the orbital...Ch. 10 - A phonograph turntable rotating at 331/3rev/min...Ch. 10 - With the aid of a string, a gyroscope is...Ch. 10 - Suppose a piece of dust has fallen on a CD. If the...Ch. 10 - A system of point particles is rotating about a...Ch. 10 - Calculate the moment of inertia of a skater given...Ch. 10 - A stick of length 1.0 m and mass 6.0 kg is free to...Ch. 10 - A pendulum consists of a rod of length 2 m and...Ch. 10 - Calculate the torque of the 40-N force around the...Ch. 10 - Two children push on opposite sides of a door...Ch. 10 - Prob. 118APCh. 10 - An automobile engine can produce 200Nm of torque....Ch. 10 - A grindstone with a mass of 50 kg and radius 0.8 m...Ch. 10 - The angular acceleration of a rotating rigid body...Ch. 10 - Earth’s day has increased by 0.002 s in the last...Ch. 10 - A disk of mass m , radius R , and area A has a...Ch. 10 - Zorch, an archenemy of Rotation Man, decides to...Ch. 10 - A cord is wrapped around the rim of a solid...
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