Answered

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A force of 50 N was necessary to lift a rock. A total of 150 J of work was done. How far was the rock lifted? ​

Sagot :

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 3 \ meters}}[/tex]

Explanation:

Work is the product of force and distance.

[tex]W=F*d[/tex]

We know the force to lift the rock was 50 Newtons. The work was 150 Joules.

  • 1 Joule is equal to 1 Newton meters.
  • We can convert the units to make the problem simpler later. The work is also 150 Newton meters.

[tex]W= 150 \ N*m \\F= 50 \ N[/tex]

Substitute the values into the formula.

[tex]150 \ N*m= 50 \ N * d[/tex]

We want to solve for distance, so we must isolate the variable. Divide both sides of the equation by 50 Newtons.

[tex]\frac{150 \ N*m}{50 \ N }=\frac{50 \ N * d}{50 \ N }[/tex]

The Newtons will cancel out.

[tex]\frac{150 \ m }{50} =d \\3 \ m =d[/tex]

The rock was lifted 3 meters.

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