CP Workbook
Force and Acceleration
Use the following information to answer the next six questions.
Shelly the skater, total mass 25 kg, is propelled by rocket power.
Complete Table I. (neglect any resistance)
Force
(N)
acceleration
(m/sec
2
)
100
200
250
Complete Table II for a constant 50-N resistance.
Force
(N)
acceleration
(m/sec
2
)
50
100
200
Refer to the following information for the next five questions.
Block A on a horizontal friction-free table is accelerated by a force from a string attached to Block B. B falls vertically and drags A horizontally. Both blocks have the same mass
m
. (Neglect the string's mass.)
The mass of the system [A+ B] is
m
2m
The force that accelerates [A + B] is the weight of
A
B
A + B
The weight of B is
½ mg
mg
2mg
Acceleration of [A + B] is
less than g
g
more than g
Calculate the exact acceleration of [A + B] in m/sec
2
Refer to the following information for the next three questions.
Suppose A is still a 1-kg block, but B is a low-mass feather (or a coin).
Compared to the acceleration of the previous system, the acceleration of [ A + B ] here is
less
more
and is
close to zero
close to g
In this case the acceleration of B is
practically that of free fall
constrained
Refer to the following information for the next two questions.
Suppose A is a feather, or coin, and B has a mass of 1 kg.
The acceleration of [A + B] here is
close to zero
close to g
In this case the acceleration of B is
practically that of free fall
constrained
Summarizing the three cases we have examined, where the weight of one object causes the acceleration of two objects, we see the range of possible accelerations is
between zero and g
between zero and infinity
between g and infinity
Refer to the following information for the next three questions.
A ball rolls down a uniform-slope ramp.
Acceleration is
decreasing
constant
increasing
If the ramp were steeper, acceleration would be
more
the same
less
When the ball reaches the bottom and rolls along the smooth level surface it
continues to accelerate
does not accelerate
Paul G. Hewitt
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