
Balance and Force
Presentation
•
Physics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
11 Slides • 19 Questions
1
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2
3
F = ma
In equilibrium, a = 0, thus all forces are balanced.
If the system is accelerating, then the forces are unbalanced and the net sum of the forces = mass x acceleration.
4
5
Math Response
don't use units...
6
Math Response
Remember tension is force
7
Math Response
Use kinematics to find the acceleration.
Then F = ma
8
Multiple Choice
How would you describe the vertical direction forces in this free body diagram?
Balanced
Unbalanced
9
Multiple Choice
What is the horizontal net force acting on this object?
35 N
50 N
-5 N
5 N
10
Multiple Choice
What is the net force in the vertical direction?
0 N
50 N
-25 N
25 N
11
Multiple Choice
What is the acceleration of this object if it has a mass of 10 kg?
1.6 m/s2
9.8 m/s2
5 m/s2
0.5 m/s2
12
Multiple Choice
A box has three forces applied to it in the horizontal direction: a 50 N force to the right, a 30 N force to the left & a 20 N force to the right. What is the net force on the box?
40 N to the left
40 N to the right
100 N to the right
100 N to the left
13
Multiple Choice
The free body diagram of four boxes are shown below. Which box is in equilibrium?
14
15
WEIGHT is the NORMAL Force
In equilibrium, we like to say that weight is mg.
If the system is accelerating, though the weight of the object is now different. The mass doesn't change and the force of gravity doesn't change, but the surfaces are now with more or less force between them.
16
Sam, m = 65kg, is in an elevator that is accelerating upward with an acceleration of 2.1 m/s2.
a) Draw the FB diagram.
b) Determine Sam's weight in the accelerating elevator.
17
Gravitational force points down.
The normal force points up as it is holding Sam up.
The system of Sam and the elevator are accelerating upward, therefore, this is the net force.
Note that the net force is NOT part of the FB diagram.
18
Fnet = ma
Fnet = sum of all forces
Forces in the direction of the net force are positive.
Forces in the opposite direction of the net force are negative.
In this case, up is positive and down is negative, since we are accelerating upward.
19
Fnet = FN - Fg
This is our "unbalanced" equation. Were the system in equilibrium, the normal force would be equal to the gravitational force.
But, alas, we have:
FN = Fnet + Fg
20
FN = (65)(2.1) + (65)(9.8)
Note that we aren't using negative 9.8. This is because we are already considering direction in our equation.
FN = 774 N
21
Multiple Choice
Two blocks of wood, each of mass 2 kg, are suspended from the ceiling by strings of negligible mass, as shown above.What is the tension in the upper string?
10 N
20 N
40 N
50 N
60 N
22
Multiple Choice
Two blocks of wood, each of mass 2 kg, are suspended from the ceiling by strings of negligible mass, as shown above.What is the force exerted on the upper block by the lower string?
zero
10 N upward
10 N downward
20 N upward
20 N downward
23
Multiple Choice
A block of mass 2 kg is suspended from a rope, as shown above. If the tension in the rope is 10 N, the acceleration of the block is most nearly
zero
2 m/s2 up
2 m/s2 down
5 m/s2 up
5 m/s2 down
24
Multiple Choice
Two blocks of masses m and M are suspended as shown above by strings of negligible mass. If a person holding the upper string lowers the blocks so that they have a constant downward acceleration, the tension in the string at point P is
(M+m)g-ma
(M+m)g-Ma
Mg-(M+m)a
Mg
M(g-a)
25
Multiple Choice
A 50-kg student stands on a scale in an elevator. At the instant the elevator has a downward acceleration of 1.0 m/s2 and an upward velocity of 3.0 m/s, the scale reads approximately
350 N
450 N
500 N
550 N
26
Multiple Choice
A rope of negligible mass supports a block that weighs 30 N, as shown above. The breaking strength of the rope is 50 N. The largest acceleration that can be given to the block by pulling up on it with the rope without breaking the rope is most nearly
6 m/s2
6.7 m/s2
10 m/s2
15 m/s2
16.7 m/s2
27
Multiple Choice
A mass is suspended from the roof of an elevator by means of a spring balance. The elevator is moving upwards and the readings of the spring balance are noted as follows:
Speeding up: RU
Constant speed: RC
Slowing down: RD
Which of the following is a correct relationship between the readings?
RU >RC
RU = RD
RC =RD
RC< RD
28
Multiple Choice
Two blocks are connected by a rope, as shown above. The masses of the blocks are 5 kg for the upper block and 10 kg for the lower block. An upward applied force of magnitude F acts on the upper block.
Question
The system is moving and accelerating upward. A pair of scissors cuts the rope. Which of the following describes the motion of the 10 kg block immediately after the rope has been cut?
The block continues to move upward and to accelerate upward.
The block begins to move downward but continues to accelerate upward.
The block continues to move upward but begins to accelerate downward.
The block begins to move downward and to accelerate downward.
29
Multiple Choice
Two blocks are connected by a rope, as shown above. The masses of the blocks are 5 kg for the upper block and 10 kg for the lower block. An upward applied force of magnitude F acts on the upper block.
Question
If the net acceleration is downward but has a magnitude less than g, then which has the larger magnitude, the force F or the tension in the rope?
The tension in the rope
Force F
Neither. They have equal but nonzero magnitudes.
Neither. They have equal zero magnitudes.
30
Multiple Choice
Two blocks are connected by a rope, as shown above. The masses of the blocks are 5 kg for the upper block and 10 kg for the lower block. An upward applied force of magnitude F acts on the upper block.
Question
If the F = 180 N, what is the tension in the rope?
120 N
100 N
220 N
200 N
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