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3NAB0 - Problems Chapter 4

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Chapter 

4 – Newton’s Laws of Motion
Problem 4.1*
A man is dragging a trunk up the loading ramp of a
mover’s truck. The ramp has a slope angle , and the
man pulls upward with a force whose direction
makes an angle with the ramp. The gravity is .

a. When a certain force is applied, how big is the


component parallel to the ramp then? Express
in the given variables.
b. How large will the component perpendicular to
the ramp be then? Express in the given
variables.

Problem 4.2**
A dockworker applies a constant horizontal force to a block of ice on a smooth horizontal
floor. The frictional force is negligible. The block starts from rest and moves a distance in a
time .
a. What is the mass of the block of ice?
b. If the worker stops pushing after , how far does the block move between and
2 ?

Problem 4.3*
A ball is hanging from a long string that is tied to the ceiling of a train car traveling eastward
on horizontal tracks. An observer inside the train car sees the ball hang motionless. Draw a
clearly labeled free-body diagram for the ball if
a. the train has a uniform velocity and
b. the train is speeding up uniformly.
c. Is the net force on the ball zero in either case? Explain

   

3NAB0 ‐ Chapter 4 – Newton’s Laws of Motion 
Figures adapted from Young and Freedman, University Physics ed.12 
Problem 4.4*
Two crates with masses and ( ), sit on the frictionless surface of a frozen
pond, connected by a light rope (see figure). A woman wearing golf shoes (for traction) pulls
horizontally on the second crate with a force that gives the crate an acceleration .

a. What is the acceleration of the first crate?


b. Draw a free-body diagram for the crate with mass . Use that diagram and Newton’s
second law to find the tension in the rope that connects the two crates.
c. Draw a free-body diagram for the crate with mass . What is the direction of the net
force on this crate? Which is larger in magnitude, or ?
d. Use part (c) and Newton’s second law to calculate the magnitude of .

Problem 4.5** 
The two blocks in the figure with masses and are connected by a
heavy uniform rope with a mass . An upward force is applied as
shown. The gravity is .
a. Draw three free-body diagrams: one for the block with mass , one
for the rope, and another one for the block with mass . For each
force, indicate what body exerts that force.
b. What is the acceleration of the system?
c. What is the tension at the top of the heavy rope?
d. What is the tension at the midpoint of the rope?

3NAB0 ‐ Chapter 4 – Newton’s Laws of Motion 
Figures adapted from Young and Freedman, University Physics ed.12 

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