Assume a person has a mass of 50.0kg and the Earth has a mass of 5.98 x 10^24kg. If the radius of Earth is given by 6.38 x 10^6m. a) find the gravitational force between the person and Earth
b) Find the weight of the person
c) how do these answers compare?

a) F =489.95 N

b) W = 490 N

c) both have same value

Explanation:

a)

The force of gravitation between two objects is given by Newton's Law of Gravitation. According to this law:

where,

F = Gravitational Force between the person and Earth = ?

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²

m₁ = mass of peerson = 50 kg

m₂ = mass of earth = 5.98 x 10²⁴ kg

r = distance between person and earth = radius of earth = 6.38 x 10⁶ m

Therefore,

F = 489.95 N

b)

The weight of the person will be given as:

W = 490 N

c)

Both have same value

energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j