Question

Calculate the magnitude of the gravitational force exerted on a 4.20 kg baby by a 100 kg father 0.200 m away at birth (he is assisting, so he is close to the child). (b) Calculate the magnitude of the force on the baby due to Jupiter if it is at its closest distance to Earth, some 6.29×1011 m.

Answer 1

Answer:

(a). The magnitude of the gravitational force is $7\times10^{-7}\ N$

(b). The magnitude of the gravitational force is $1.35\times10^{-6}\ N$

Explanation:

Given that,

Mass of baby = 4.20 kg

Mass of father = 100 kg

Distance = 0.200 m

We need to calculate the gravitational force

Using gravitational formula

$F = \dfrac{G\times m_{b}m_{f}}{r^2}$

Put the value in to the formula

$F=\dfrac{6.67\times10^{-11}\times4.20\times100}{0.200^2}$

$F=7\times10^{-7}\ N$

(b). We need to calculate the gravitational force

Using gravitational formula

$F = \dfrac{G\times m_{b}m_{f}}{r^2}$

Put the value in to the formula

$F=\dfrac{6.67\times10^{-11}\times4.20\times1.9\times10^{27}}{(6.29\times10^{11})^2}$

$F=1.35\times10^{-6}\ N$

Hence, (a). The magnitude of the gravitational force is $7\times10^{-7}\ N$

(b). The magnitude of the gravitational force is $1.35\times10^{-6}\ N$

Answer 2

The magnitude of the gravitational force is 7×10⁻⁷ N and the magnitude of the gravitational force due to Jupiter is 1.35×10⁻6 N

What is gravitational potential energy?

Gravitational potential energy is the energy which a body posses because of its position.

The gravitational potential energy of a body is given as,

$G=\dfrac{Fr^2}{Mm}$

Here, (m) is the mass of the body, (F) is the gravitational force and (r) is the height of the body.

The mass of baby is 4.20 kg and mass of father is 100 kg. The distance between them is 0.200 m. Put the values in the above formula as,

$6.67\times10^{-11}=\dfrac{F(0.200)^2}{100(4.20)}\\F=7\times10^{-7}\rm \; N$

• (b) The magnitude of the force on the baby due to Jupiter if it is at its closest distance to Earth, some 6.29×1011 m.

Put the values in the above formula again as,

$6.67\times10^{-11}=\dfrac{F(6.29\times10^{11})^2}{(1.9\times10^{27})(4.20)}\\F=1.35\times10^{-6}\rm \; N$

Thus, the magnitude of the gravitational force is 7×10⁻⁷ N and the magnitude of the gravitational force due to Jupiter is 1.35×10⁻6 N.

Learn more about the gravitational potential energy here;

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