A body weighs 90 kg on the surface of earth how much will it weigh on surface of mars whose mass is 1/9 and radius 1/2 of that of earth?
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Weight ∝ M / R²
W1 / W2 = (M1 / M2) × (R2 / R1)^2
W2 = W1 × (R1 / R2)^2 × (M2 / M1)
W2 = 900 × (R1 / (R1/2))^2 × ((M1/9) / M1)
W2 = 900 × 4 × 1/9
W2 = 400 N
Weight of object at Mars will be 400 N
W1 / W2 = (M1 / M2) × (R2 / R1)^2
W2 = W1 × (R1 / R2)^2 × (M2 / M1)
W2 = 900 × (R1 / (R1/2))^2 × ((M1/9) / M1)
W2 = 900 × 4 × 1/9
W2 = 400 N
Weight of object at Mars will be 400 N
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Answer:
Answer:
The body weight is 90Kg
so,the mass is 90N
Mass of mars =1/9
Radius =1/2 of earth
F=mg=m(G M/Re 2)
F mars /F earth = m (G M / R e 2)mars/m (G M/R e 2)earth
F mars/90 kg =(M earth/9)/m earth *(r earth)e 2/{r earth /2}e 2
=4/9
=90*4/9
=>mass of mars =40Kg
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