The mass of the planet Jupiter is 1.9 times 1 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given:Mass of Jupiter,$M_1 = 1.9 	imes 10^{27} \, kg$Mass of Sun,$M_2 = 1.99 	imes 10^{30} \, kg$Distance between Jupiter and Sun,$r = 7.8 	ime

Vedclass · Accepted Answer

$4.4 	imes 10^{23} \, N$

Vedclass · Answer

(D) Given:Mass of Jupiter,$M_1 = 1.9 	imes 10^{27} \, kg$Mass of Sun,$M_2 = 1.99 	imes 10^{30} \, kg$Distance between Jupiter and Sun,$r = 7.8 	imes 10^{11} \, m$Gravitational constant,$G = 6.67 	imes 10^{-11} \, N \cdot m^2 \cdot kg^{-2}$Using the universal law of gravitation formula,$F = \frac{G M_1 M_2}{r^2}$:$F = \frac{6.67 	imes 10^{-11} 	imes 1.9 	imes 10^{27} 	imes 1.99 	imes 10^{30}}{(7.8 	imes 10^{11})^2}$$F = \frac{6.67 	imes 1.9 	imes 1.99 	imes 10^{46}}{60.84 	imes 10^{22}}$$F \approx 4.146 	imes 10^{23} \, N$Rounding to the nearest provided option,the gravitational force is $4.4 	imes 10^{23} \, N$.

The mass of the planet Jupiter is $1.9 \times 10^{27} \, kg$ and that of the Sun is $1.99 \times 10^{30} \, kg$. The mean distance of the Sun from Jupiter is $7.8 \times 10^{11} \, m$. Calculate the gravitational force which the Sun exerts on Jupiter.

Similar Questions

$A$ stone is dropped from the edge of a roof.
$(a)$ How long does it take to fall $4.9 \, m$?
$(b)$ How fast does it move at the end of that fall?
$(c)$ How fast does it move at the end of $7.9 \, m$?
$(d)$ What is its acceleration after $1 \, s$ and after $2 \, s$?

Explain by giving reasons:
$(i)$ If a stone held in our hands is released,it falls towards the earth.
$(ii)$ Two objects kept in a room do not move towards each other as per the universal law of gravitation.

How does acceleration due to gravity depend on the mass of the planet?

Two bodies,one held $1 \, m$ vertically above the other,are released simultaneously and fall freely under gravity. After $2 \, s$,the relative separation of the bodies will be: (in $, m$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module