Two people, each of 70 kg mass, are riding in an elevator. One is standing on the floor. The other is hanging on a rope suspended from the ceiling. Compare the acceleration
of the first person to the acceleration
of the second person. Which statement is correct?
a.
They are equal and opposite in direction.
b.
They are equal and have the same direction.
c.
The acceleration
is greater than
, but they have the same direction.
d.
The acceleration
is greater than
, but they have opposite directions.
e.
The acceleration
is less than
, but they have the same direction.
[Ques. 2] Two people, each of 70 kg mass, are riding in an elevator. One is standing on the floor. The other is hanging on a rope suspended from the ceiling. Compare the force
the floor exerts on the first person to the force
the rope exerts on the second person. Which statement is correct?
a.
They are equal and opposite in direction.
b.
They are equal and have the same direction.
c.
is greater than
, but they have the same direction.
d.
is greater than
, but they have opposite directions.
e.
is less than
, but they have the same direction.
[Ques. 3] A heavy weight is supported by two cables that exert tensions of magnitude
and
. Which statement is correct?
a.
=
.
b.
=
.
c.
>
.
d.
<
.
e.
We need the mass of the box in order to determine the correct answer.
[Ques. 4] A 5.0-kg object is suspended by a string from the ceiling of an elevator that is accelerating downward at a rate of 2.6 m/s
2. What is the tension in the string?
a.
49 N
b.
36 N
c.
62 N
d.
13 N
e.
52 N
[Ques. 5] A block is pushed up a frictionless 30 incline by an applied force as shown. If F = 25 N and M = 3.0 kg, what is the magnitude of the resulting acceleration of the block?
a.
2.3 m/s
2 b.
4.6 m/s
2 c.
3.5 m/s
2 d.
2.9 m/s
2 e.
5.1 m/s
2
[Ques. 6] If F = 4.0 N and m = 2.0 kg, what is the magnitude a of the acceleration for the block shown below? The surface is frictionless.
a.
5.3 m/s
2 b.
4.4 m/s
2 c.
3.5 m/s
2 d.
6.2 m/s
2 e.
8.4 m/s
2
[Ques. 7] The only two forces acting on a body have magnitudes of 20 N and 35 N and directions that differ by 80. The resulting acceleration has a magnitude of 20 m/s
2. What is the mass of the body?
a.
2.4 kg
b.
2.2 kg
c.
2.7 kg
d.
3.1 kg
e.
1.5 kg
[Ques. 8] The horizontal surface on which the block slides is frictionless. If F = 20 N and M = 5.0 kg, what is the magnitude of the resulting acceleration of the block?
a.
5.3 m/s
2 b.
6.2 m/s
2 c.
7.5 m/s
2 d.
4.7 m/s
2 e.
3.2 m/s
2
[Ques. 9] Two forces are the only forces acting on a 3.0-kg object which moves with an acceleration of 3.0 m/s
2 in the positive
y direction. If one of the forces acts in the positive
x direction and has a magnitude of 8.0 N, what is the magnitude of the other force?
a.
12 N
b.
14 N
c.
16 N
d.
18 N
e.
22 N
[Ques. 10] If = 40 and the tension in string 2 is 30 N, determine M.
a.
3.4 kg
b.
3.6 kg
c.
2.6 kg
d.
4.9 kg
e.
7.5 kg
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