# As the elevator approaches its destination, its speed decreases. (It continues to move downward.) i. How does the acceleration of crate A compare to that of crate B? Explain. ii. In the spaces provided below, draw and label separate free-body diagrams for the crates in this case.

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# As the elevator approaches its destination, its speed decreases. (It continues to move downward.) i. How does the acceleration of crate A compare to that of crate B? Explain. ii. In the spaces provided below, draw and label separate free-body diagrams for the crates in this case.

Tutorials in Introductory Physics ©Pearson Custom Publishing McDermott, Shaffer, & P.E.G., U. Wash. Updated Preliminary Second Edition, 2011

Mech HW–41

b. As the elevator approaches its destination, its speed decreases. (It continues to move downward.)

i. How does the acceleration of crate A compare to that of crate B? Explain.

ii. In the spaces provided below, draw and label separate free-body diagrams for the crates in this case.

Free-body diagram for crate A

Free-body diagram for crate B

iii. Rank the forces on the crates according to magnitude, from largest to smallest. Explain your reasoning, including how you used Newton’s second and third laws.

iv. In the spaces provided at right, draw arrows to indicate the direction of the net force on each crate. If the net force on either crate is zero, state so explicitly. Explain.

Is the magnitude of the net force on crate A greater than, less than, or equal to that on crate B? Explain.

Crate A Crate B

Direction of net force

Newton’s second and third laws

Tutorials in Introductory Physics ©Pearson Custom Publishing McDermott, Shaffer, & P.E.G., U. Wash. Updated Preliminary Second Edition, 2011

Mech HW–42

3. A hand pushes three identical bricks as shown. The bricks are moving to the left and speeding up. System A consists of two bricks stacked together. System B consists of a single brick. System C consists of all three bricks. There is friction between the bricks and the table. a. In the spaces

provided at right, draw and label separate free-body diagrams for systems A and B.

b. The vector representing the acceleration of system A is shown at right. Draw the acceleration vectors for systems B and C using the same scale. Explain.

c. The vector representing the net force on system A is shown at right. Draw the net force vectors for systems B and C using the same scale. Explain.

d. The vector representing the frictional force on system A is shown below. Draw the remaining force vectors using the same scale.

N BH

N AB

N BA

f AT

f BT

Explain how you knew to draw the force vectors as you did.

A

B

Free-body diagram for system A

Free-body diagram for system B

Acceleration of A

Acceleration of B

Acceleration of C

Net force on A

Net force on B

Net force on C

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