Mastering Physics Solutions: A Book on a Table

Mastering Physics Solutions: A Book on a Table

On September 28, 2013, in Chapter 04: Force and Motion, by Mastering Physics Solutions

Part A = gravity
Part B = 5 N / book
Part C = no
Part D = 5 N / earth / book / upward
Part E = 5 N / table / book / downward

A downward force of magnitude 5 N is exerted on the book by the force of
An upward force of magnitude _____ is exerted on the _____ by the table.
Do the downward force in Part A and the upward force in Part B constitute a 3rd law pair?
The reaction to the force in Part A is a force of magnitude _____, exerted on the _____ by the _____. Its direction is _____ .
The reaction to the force in Part B is a force of magnitude _____, exerted on the _____ by the _____. Its direction is _____.

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Mastering Physics Solutions: Lifting a Bucket

Mastering Physics Solutions: Lifting a Bucket

On September 25, 2013, in Chapter 04: Force and Motion, by Mastering Physics Solutions

Part A = 60 N
Part B = 78 N
Part C = 42 N

What is the tension in the rope?
At a certain point the speed of the bucket begins to change. The bucket now has an upward constant acceleration of magnitude 3 m/s2. What is the tension in the rope now?
Now assume that the bucket has a downward acceleration, with a constant acceleration of magnitude 3 m/s2.

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Mastering Physics Solutions: Suspending a Speaker

Mastering Physics Solutions: Suspending a Speaker

On September 25, 2013, in Chapter 04: Force and Motion, by Mastering Physics Solutions

Part A = 365 N

What is the tension T in each of the cables?

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Mastering Physics Solutions: A Gymnast on a Rope

Mastering Physics Solutions: A Gymnast on a Rope

On September 22, 2013, in Chapter 04: Force and Motion, by Mastering Physics Solutions

Part A = 491 N Click to use the calculator/solver for this part of the problem
Part B = 491 N Click to use the calculator/solver for this part of the problem
Part C = 556 N Click to use the calculator/solver for this part of the problem
Part D = 426 N Click to use the calculator/solver for this part of the problem

Calculate the tension T in the rope if the gymnast hangs motionless on the rope.
Calculate the tension T in the rope if the gymnast climbs the rope at a constant rate.
Calculate the tension T in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 1.30 m/s2.
Calculate the tension T in the rope if the gymnast slides down the rope with a downward acceleration of magnitude 1.30 m/s2.

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Mastering Physics Solutions: Motion of a Block with Three Forces

Mastering Physics Solutions: Motion of a Block with Three Forces

On September 21, 2013, in Chapter 04: Force and Motion, by Mastering Physics Solutions

Part A = 1.83 N Click to use the calculator/solver for this part of the problem
Part B = -73° Click to use the calculator/solver for this part of the problem
Part C = 0.92 m/s2 Click to use the calculator/solver for this part of the problem
Part D = -73° Click to use the calculator/solver for this part of the problem
Part E = 11 m Click to use the calculator/solver for this part of the problem
Part F = 4.6 m/s Click to use the calculator/solver for this part of the problem
Part G = -73° Click to use the calculator/solver for this part of the problem

Calculate the magnitude of the total resultant force Fr = F1 + F2 + F3 acting on the mass.
What angle does Fr make with the positive x axis?
What is the magnitude of the mass’s acceleration vector, a?
What is the direction of A? In other words, what angle does this vector make with respect to the positive x axis?
How far (in meters) will the mass move in 5.0 s?
What is the magnitude of the velocity vector of the block at t = 5.0 s?
In what direction is the mass moving at time t = 5.0 s? That is, what angle does the velocity vector make with respect to the positive x axis?

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Mastering Physics Solutions: Hanging Chandelier

Mastering Physics Solutions: Hanging Chandelier

On February 23, 2013, in Chapter 04: Force and Motion, by Mastering Physics Solutions

Part A = T1 = (cos(θ2) * m * g) / sin(θ1 + θ2)

A chandelier with mass m is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn’t attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension T1 and makes an angle of θ1 with the ceiling. Cable 2 has tension T2 and makes an angle of θ2 with the ceiling.

Find an expression for T1, the tension in cable 1, that does not depend on T2.

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