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