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Sagot :
1. The man will be able to move the rock. See diagram.
Moment of Man's force : 400 N * 1.2 meter = 480 N-m
Rock's Weight = 50 Kg * 9.8 m/sec² = 490 Newtons
Moment of Rock's weight : 490 N * 0.80 meters = 392 N-m
Moment of Man's Force is MORE : 480 N-m > 392 N-m
So man will be able to lift the rock.
2. Let is look at the diagram - second one.
Let us assume that the fulcrum (Pivot) is placed at X meters from the rock.
So moment of Girl's force about Pivot = 200 N * (2 - X) meters = 400 - 200 X
Moment of Rock's weight = 490 N * X = 490 X
As the Girl is able to lift the rock, 400 - 200 X > 490 X
Hence 400 > 200 X + 490 X
400 > 690 X
X < 400/690 = 0.58 meters
If the Pivot is placed closer than 0.58 meters or 58 cm to the Rock, then
she can lift the rock.
Moment of Man's force : 400 N * 1.2 meter = 480 N-m
Rock's Weight = 50 Kg * 9.8 m/sec² = 490 Newtons
Moment of Rock's weight : 490 N * 0.80 meters = 392 N-m
Moment of Man's Force is MORE : 480 N-m > 392 N-m
So man will be able to lift the rock.
2. Let is look at the diagram - second one.
Let us assume that the fulcrum (Pivot) is placed at X meters from the rock.
So moment of Girl's force about Pivot = 200 N * (2 - X) meters = 400 - 200 X
Moment of Rock's weight = 490 N * X = 490 X
As the Girl is able to lift the rock, 400 - 200 X > 490 X
Hence 400 > 200 X + 490 X
400 > 690 X
X < 400/690 = 0.58 meters
If the Pivot is placed closer than 0.58 meters or 58 cm to the Rock, then
she can lift the rock.


The answer is 0.58 meters. I agree with the working shown below. I did the same on paper, and it is the right answer.
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