Middle School

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How much work is required to lift a 2 kg mass to a height of 10 meters?

A. 5 Joules
B. 20 Joules
C. 96 Joules
D. 196 Joules

Answer :

Answer : The correct answer is 196 J

Given : Mass = 2 Kg Height = 10 m Work = ?

Work , force and height can be related by formula as :

W = F * d ---> (1)

Where : W = work ( Joules or J ) , F= force ( Newton or N) and d = distance traveled by object or height ( meter or m)

Force can be written as : F = m * a

Where F = force m = mass and a = acceleration .

Since work is done to lift the mass so acceleration is taken as gravitational acceleration . Hence F = m * g ----(2) (g = 9.8 m/s²)

Combining equation (1) and (2) , work , mass and height can be related as :

W = m * g * h

Plugging formula in this formula

W = 2 kg * 9.8 m/s² * 10 m

W = 196 J

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Rewritten by : Barada

I'm pretty sure its 20 joules