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What is the work required to raise a 10. kg object from the surface of the Earth to a height of 2.0 m?

A. 5.0 J
B. 20. J
C. 2.0 E2 J
D. 2.0 E3 J

Respuesta :

m1ax0x0
(10 kg)(9.8 m/s^2)(2.0 m) = 196 kg m^2/s^2 =~ 200 J
200 J could be written as 2.0 E2 J

Answer: The correct answer is Option C.

Explanation: Work is defined as the product of force and displacement.

Force is defined as the product of mass of the object and acceleration. (here taking acceleration due to gravity).

[tex]W=F.d[/tex]   ...(1)

[tex]F=mg[/tex]   ...(2)      [tex](g=9.8ms^{-2})[/tex]

Putting values in equation 2, we get:

[tex]F=10\times 9.8=98N[/tex]

Now, putting values in Equation 1, we get:

[tex]W=98\times 2=196Nm\approx 2\times 10^2J[/tex]      ( Conversion Factor: 1Nm = 1J )

Hence. the correct answer is Option C.

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