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What is the weight on Earth of an apple with mass 150g?

Sagot :

Answer:
Gravitational Force = 1.47 N
Acceleration produced in Apple = 9.8 m/s^2
Acceleration produced in Earth = 2.45 x 10^(-23) m/s^2
Explanation:
Mass of Apple = 150 g = 0.15 Kg
Mass of Earth = 6 x 10^24 Kg
Radius of Earth = 6.38 x 10^6 m
Universal Gravitational Constant G = 6.67 x 10^-11 Nm^2/kg^2
Force due to gravity = G (mass of apple) (mass of earth) / (radius of earth)^2
We know that G (mass of earth) / (radius of earth)^2 = g = 9.8 m/s^2
So F = 9.8 (mass of apple) = 1.47 N
Gravitational Force = 1.47 N
By 2nd law of motion F = ma, a = F/m
Acceleration produced in Apple = F / (mass of apple) = 1.47 N / 0.15 Kg = 9.8 m/s^2
Acceleration produced in Earth = F / (mass of earth) = 1.47 N / 6 x 10^24 Kg = 2.45 x 10^(-23) m/s^2
Weight=mass x gravitational field strength

Gravitational field strength= 10N/kg

150/1000= 0.15kg
0.15kg x 10= 1.5N

(Weight is measured in Newton’s)