1. a) What force will push a 180 kg (weight?) rock over a surface at
a constant velocity? ( = 1.5)
b) If 3 200 N of force were applied to the rock,
how much is "extra" force?
c) The excess force could accelerate the rock at
what rate?
2. a) If a gravel surface has a of 2.4, what force will be needed to
move a 400 kg (weight?) granite slab
over it at a constant velocity?
b) If 12 000 N of force are applied, how many N
are "extra" applied force?
c) The extra force could accelerate the slab at
what rate?
3. a) How many N are needed to drag at a constant velocity a 150 kg
(weight?) elk carcass over
ground with a = 1.4?
b) A bear supplying 3 000 N of force (how much of
this is "extra"?) could move the carcass at what
rate of acceleration?
4. a) If a 50 kg (weight?) person hangs tightly on a thin rope that
can support only 15 N, the rope, for
a second or two before snapping,
attempts to support how many extra N beyond its breaking
strength?
b) If the person hanging on the thin rope opened
their hands, what would happen to the person?
c) How many N would then not be hanging on
the rope?
d) How much of the person's weight has to be removed
from the rope to keep it from breaking?
e) Treating the weight in d) as a force, at what
acceleration must the person slide down the rope to
"remove" the excess N?
5. a) If a 470 kg (weight?) boulder were somehow to be supported by
a rope with a breaking strength
of just 600 N, how many extra
N would be have to be "removed" from the rope?
b) If the construction boss wants a "safety factor",
even more weight must be removed from the rope
to further minimize the
chance of its parting. If a safety factor of 20 N is chosen, how many N
in
total would then have to
be "removed" from the rope?
c) At what acceleration would the boulder
have to be lowered to "remove" the weight (treat it as
force) and prevent
the rope from snapping?
6. a) If a rope with a breaking strength of 1 000 N will be used to
lower a 4 000 N car to the ground,
how many extra N must somehow
be "removed" from the rope?
b) If the loading crew chief wants a safety factor
of 200 N, then how many N would have to be
"removed" from the rope?
c) At what acceleration must the car descend to
remove all the extra weight (force) from the rope?
7. a) What force will push a 280 kg (weight?) rock over a surface at
a constant velocity? ( = 0.5)
b) If 2 200 N of force were applied to the rock,
how much is "extra" force?
c) The excess force could accelerate the rock at
what rate?
8. a) If a sand surface has a of 3.2, what force will be needed to
move a 400 kg (weight?) marble slab
over it at a constant velocity?
b) If 17 000 N of force are applied by a winch,
how many N are "extra" applied force?
c) The extra force could accelerate the slab at
what rate?
9. a) How many N are needed to drag at a constant velocity a 350 kg
(weight?) zebra carcass over
ground with a = 1.8?
b) A lioness tugging with 4 000 N of force ("extra"?)
could accelerate the carcass at what rate?
10. a) A 2 kg and a 5 kg mass are supported at opposite ends of a rope
slung over a frictionless pulley.
Find the acceleration
of the small mass.
b) What is the tension in the rope.
11. Redo Q. 10 with 4 and 7 kg masses.
12. Redo Q. 10 with 2 and 3 kg masses.
13. a) A cable can withstand 12 000 N. What is the maximum acceleration
at which it can haul up a
200 N platform
loaded with 1 300 N of cargo?
b) The platform would need how many
seconds to reach a speed of 1.7 m/s?
14. a) A cable can withstand 15 000 N. What is the maximum acceleration
at which it can haul up a
400 N platform loaded
with 2 100 N of cargo?
b) The platform would reach what speed
in 8 s?
15. A 20 N object (mass?) rests on a frictionless surface. It is tied
to a 3 N object (mass?) hanging
over the edge of the surface. Find the
rate of acceleration of the heavier object.
16. A 10 N object (mass?) rests on a frictionless surface. It is tied
to a 30 N object (mass?) hanging
over the edge of the surface. Find the
rate of acceleration of the lighter object.
17. A 35 N object (mass?) rests on a frictionless surface. It is tied
to a 6 N object (mass?) hanging
over the edge of the surface. Find the
rate of acceleration of both objects.
18. A cable that can withstand a tension of 11 000 N is attached to
a 1 000 N platform. If a motor
pulls up the cable at a rate of 2.5
m/s2, how much freight can be placed on the platform?
19. A cable that can withstand a tension of 10 000 N is attached to
a 1 400 N platform. If a motor
pulls up the cable at a rate of 3.2
m/s2, how much freight can be placed on the platform?
20. A cable that can withstand a tension of 13 000 N is attached to
a 1 600 N platform. If a motor
pullsup the cable at a rate of 1.9 m/s2,
how much freight can be placed on the platform?
21. a) A cable can withstand just 900 N. What is the maximum acceleration
at which it can haul up a
200 N platform
loaded with 600 N of cargo?
b) The platform would have to reach
what speed in 10 s?
22. a) How many N are needed to drag at a constant velocity a 400 kg
(weight?) sled over frozen
ground with
a = 0.8?
b) A horse tugging with 4 000 N of force
("extra"?) could accelerate the sled at what rate?
c) After 7 s, the sled would be moving
at what speed?