University Physics Volume 1
1st Edition
ISBN: 9781630182137
Author: Samuel J Ling Jeff, Sanny, William Moebs
Publisher: OpenStax
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Chapter 3, Problem 114CP
A cyclist sprints at the end of a race to clinch a victory. She has an initial velocity of 11.5 m/s and accelerates at a rate of
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For each of the actions depicted below, a magnet and/or metal loop moves with velocity v→ (v→ is constant and has the same magnitude in all parts). Determine whether a current is induced in the metal loop. If so, indicate the direction of the current in the loop, either clockwise or counterclockwise when seen from the right of the loop. The axis of the magnet is lined up with the center of the loop. For the action depicted in (Figure 5), indicate the direction of the induced current in the loop (clockwise, counterclockwise or zero, when seen from the right of the loop). I know that the current is clockwise, I just dont understand why. Please fully explain why it's clockwise, Thank you
A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
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Chapter 3 Solutions
University Physics Volume 1
Ch. 3 - Check your Understanding A cyclist rides 3 km west...Ch. 3 - Check your Understanding The position of an object...Ch. 3 - Check Your Understanding Protons in a linear...Ch. 3 - Check Your Understanding An airplane lands on a...Ch. 3 - Check Your Understanding A manned rocket...Ch. 3 - Check Your Understanding A bicycle has a constant...Ch. 3 - Check Your Understanding A chunk of ice beaks off...Ch. 3 - Check Your Understanding A particle starts from...Ch. 3 - Position, Displacement, and Average Velocity Give...Ch. 3 - Under what circumstances does distance traveled...
Ch. 3 - Bacteria move back and forth using their flagella...Ch. 3 - Give an example of a device used to measure time...Ch. 3 - Does a car’s odometer measure distance traveled or...Ch. 3 - During a given time interval the average velocity...Ch. 3 - There is a distinction between average speed and...Ch. 3 - Does the speedometer of a car measure speed or...Ch. 3 - If you divide the total distance traveled on a car...Ch. 3 - How are instantaneous velocity and instantaneous...Ch. 3 - Is it possible for speed to be constant while...Ch. 3 - Is it possible for velocity to be constant while...Ch. 3 - Give an example in which velocity is zero yet...Ch. 3 - If a subway train is moving to the left (has a...Ch. 3 - Plus and minus signs are used in one-dimensional...Ch. 3 - Motion with Constant Acceleration When analyzing...Ch. 3 - State two scenarios of the kinematics of single...Ch. 3 - What is the acceleration of a rock thrown straight...Ch. 3 - An object that is thrown straight up falls back to...Ch. 3 - Suppose you throw a rock nearly straight up at a...Ch. 3 - The severity of a fall depends on your speed when...Ch. 3 - How many times higher could an astronaut jump on...Ch. 3 - Finding Velocity and Displacement from...Ch. 3 - Position, Displacement, and Average Velocity...Ch. 3 - A car is 2.0 km west of a traffic light at t=0 and...Ch. 3 - The Shanghai maglev train connects Longyang Road...Ch. 3 - The position of a particle moving along the x...Ch. 3 - A cyclist rides 8.0 km east for 20 minutes, then...Ch. 3 - On February 15, 2013, a superbolide meteor...Ch. 3 - A woodchuck runs 20 m to the right in 5 s, then...Ch. 3 - Sketch the velocity-versus-time graph from the...Ch. 3 - Sketch the velocity-versus-time graph from the...Ch. 3 - Given the following velocity-versus-time graph,...Ch. 3 - An object has a position function x(t)=5tm . (a)...Ch. 3 - A particle moves along the x -axis according to...Ch. 3 - Unreasonable results. A particle moves along the x...Ch. 3 - Average and Instantaneous Acceleration A cheetah...Ch. 3 - Dr. John Paul Stapp was U.S. Air Force officer who...Ch. 3 - Sketch the acceleration-versus-time graph from the...Ch. 3 - A commuter backs her car out of her garage with an...Ch. 3 - Assume an intercontinental ballistic goes from...Ch. 3 - An airplane, starting from rest, move down the...Ch. 3 - Motion with Constant Acceleration A particle moves...Ch. 3 - A particle moves in a straight line with an...Ch. 3 - A particle moves in a straight line with an...Ch. 3 - (a) Sketch a graph of velocity versus time...Ch. 3 - (a) Sketch a graph of acceleration versus time...Ch. 3 - A particle has a contant acceleration of 6.0m/s2 ....Ch. 3 - At t=10s , a particle is moving from left to right...Ch. 3 - A well-thrown ball is caught in a well-padded...Ch. 3 - A bullet in a gun is accelerated from the firing...Ch. 3 - (a) A light-rail commuter train accelerates at a...Ch. 3 - While entering a freeway, a car accelerates from...Ch. 3 - Unreasonable results At the end of a race, a...Ch. 3 - Blood is accelerated from rest to 30.0 cm/s in a...Ch. 3 - During a slap shot, a hockey player accelerates...Ch. 3 - A powerful motocycle can accelerate from rest to...Ch. 3 - Freight trains can product only relatively small...Ch. 3 - A fireworks shell is accelerated from rest to a...Ch. 3 - A swan on a lake gets airborne by flapping its...Ch. 3 - A woodpecker’s brain is specially protected from...Ch. 3 - An unwary football player collides with a padded...Ch. 3 - A care package is dropped out of a cargo plane and...Ch. 3 - An express train passes through a station. It...Ch. 3 - Unreasonable results Dragsters can actually reach...Ch. 3 - Calculate the displacement and velocity at times...Ch. 3 - Calculate the displacement and velocity at times...Ch. 3 - A basketball referee tosses the ball straight up...Ch. 3 - A rescue helicopter is hovering over a person...Ch. 3 - Unreasonable results A dolphin in an aquatic show...Ch. 3 - A diver bounces straight up from a diving board,...Ch. 3 - (a) Calculate the height of a cliff if it takes...Ch. 3 - A very strong, but inept, shot putter puts the...Ch. 3 - You throw a ball straight up with an initial...Ch. 3 - A kangaroo can jump over an object 2.50 m high....Ch. 3 - Standing at the base of one of the cliffs of Mt....Ch. 3 - There is a 25O-m-high cliff at Half Dome in...Ch. 3 - The acceleration of a particle varies with time...Ch. 3 - Between t=0 and t=t0 , a rocket moves straight...Ch. 3 - The velocity of a particle moving along the x...Ch. 3 - A particle at rest leaves the origin with its...Ch. 3 - Professional baseball player Nolan Ryan could...Ch. 3 - An airplane leaves Chicago and makes the 3000-km...Ch. 3 - Unreasonable Results A cyclist rides 16.0 km east,...Ch. 3 - An object has an acceleration of +1.2cm/s2 . At...Ch. 3 - A particle moves along the x -axis according to...Ch. 3 - A particle moving at constant acceleration has...Ch. 3 - A train is mowing up a steep grade at constant...Ch. 3 - An electron is moving in a straight line with a...Ch. 3 - An ambulance driver is rushing a patient to the...Ch. 3 - A motorcycle that is slowing down uniformly covers...Ch. 3 - A cyclist travels from point A to point B in 10...Ch. 3 - Two trains are moving at 30 m/s in opposite...Ch. 3 - A 10.0-m-long truck moving with a constant...Ch. 3 - A police car waits in hiding slightly off the...Ch. 3 - Pablo is running in a half marathon at a velocity...Ch. 3 - Unreasonable results A runner approaches the...Ch. 3 - An airplane accelerates at 5.0m/s2 for 30.0 s....Ch. 3 - Compare the distance traveled of an object that...Ch. 3 - An object is moving east with a constant velocity...Ch. 3 - A ball is thro straight up. It passes a...Ch. 3 - A coin is dropped from a hot-air balloon that is...Ch. 3 - A soft tennis ball is dropped onto a hard floor...Ch. 3 - Unreasonable results. A raindrop falls from a...Ch. 3 - Compare the time in the air of a basketball player...Ch. 3 - Suppose that a person takes 0.5 s to react and...Ch. 3 - A hot-air balloon rises from ground level at a...Ch. 3 - (a) A world record was se for the men’s 100-m dash...Ch. 3 - An object is dropped from a height of 75.0 m above...Ch. 3 - A steel ball is dropped onto a hard floor from a...Ch. 3 - An object is dropped from a roof of a building of...Ch. 3 - In a 100-rn race, the winner is timed at 11.2 s....Ch. 3 - The position of a particle moving along the x...Ch. 3 - A cyclist sprints at the end of a race to clinch a...Ch. 3 - In 1967, New Zealander Burt Munro set the world...
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