An object with greater mass (a). has greater acceleration when it falls. (b). has a weaker force of gravity. (c). is less affect
1 answer:
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1) The minimum force needed is 920 N
2) The minimum force is 460 N
3) The minimum force is 598 N
Explanation:
1)
We can answer this part by simply looking at the forces involved. In fact, there are two forces acting on the railroad:
- Its weight, W, acting downward
- The force applied to lift it, F, upward
So the net force on the railroad is
where
W = 920 N is the weight of the railroad
In order to lift the railroad, the net force must be upward, so
And therefore
which means that the minimum force needed is equal to the weight of the railroad, 920 N.
2)
In this case, we have to use the principle of equilibrium of moments.
In fact, when the railroad rotates uniformly (=constant angular speed) about its end, it means that the moment produced by the weight (acting in one direction) is equal to the moment produced by the force applied (acting in the other direction). Therefore, we can write:
where
W = 920 N is the weight
L = 2.6 m is the length of the railroad
F is the force applied
We wrote L/2 on the left of the equation because the weight acts at the center of mass of the railroad (located at the midpoint), while on the right it is L because the force F is applied at the end of the railroad.
Solving for F,
3)
This problem is similar to the previous part, however in this case, the force applied F is applied 0.6 m from the end, pivoting around the opposite end.
This means that the distance between the point of application of the force F and the pivot is
L' = L - 0.6
where
L = 2.6 m
Therefore the equation for the equilibrium of moments becomes
and substituting
W = 920 N
L = 2.6
We find the magnitude of F:
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For the work, applicate formula:
According our data:
- Replacing:
W = 12000 N * 1,5 m
- Resolving:
W = 18000 J
The work done is <u>18000 Joules.</u>
The gravitation force is 1/6 that of earth, and the ice in the same soft drink would float with 9/10 submerged option (B) is correct.
<h3>What is gravitational force?</h3>All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.
As we know, the gravitational force is given by:
Where G is the gravitational constant.
m1 and m2 are masses.
r is the distance between the masses.
Weight of ice cube = weight of soft drink displaced
mg = ρVg
m = ρV
g does not affect astronauts on earth in a lunar module.
Thus, the gravitation force is 1/6 that of earth, and the ice in the same soft drink would float with 9/10 submerged option (B) is correct.
An astronaut on Earth notes that in her soft drink an ice cube floats with 9/10 of its volume submerged. If she were instead in a lunar module parked on the Moon where the gravitation force is 1/6 that of Earth, the ice in the same soft drink would float:A) with more than 9/10 submerged. B) with 9/10 submerged.C) with 6/10 submerged.D) totally submerged.
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