Question

If the mass of two objects are 40 kg and 50 kg distance between these object is 20 m find the gravitational force between them.​


Give answer.​

Answer 1

$\sf\large\underline{\underline{\red{\sf Question}}}:$

• If the mass of two objects are 40 kg and 50 kg distance between these object is 20 m find the gravitational force between them.

$\sf\large\underline{\underline{\red{\sf Given}}}:$

• m₁ is 40 kg.
• m₂ is 50 kg.
• Distance between them is 20 m.

$\sf\large\underline{\underline{\red{\sf Solution}}}:$

According to universal law of Gravitation,

$\red\bigstar\boxed{\sf{F=G}\dfrac{m_1m_2}{r^2}}$

Where,

• G is gravitational constant. { G = 6.673 × 10−11 N·m2/kg2. }
• m₁ and m₂ are masses of two objects.
• r is distance between them.

$\large\purple{\underline{\mathfrak{Subsituting\;the\;values}}}$

$\longmapsto \sf F= (6.673\times 10^{-11})\dfrac{40\times 50}{20^2}$

$\longmapsto \sf F= (6.673\times 10^{-11})\dfrac{200}{400}$

$\longmapsto \sf F= 6.673\times 10^{-11}\times\dfrac{1}{2}$

$\longmapsto \sf F= \dfrac{6.673\times 10^{-11}}{2}$

$\leadsto \sf F = 3.365 \times 10^{-11} N$

Therefore,

• Gravitational force between both objects is $3.365 \times 10^{-11} N$

Answer 2

Answer:

Solution

verified

Verified by Toppr

F=G×

d

2

m×M

m = 50 kg

M = 120 kg

Distance, d = 10 m

G=6.7×10

−11

Nm

2

/kg

2

F=6.67×10

−11

×

10

2

50×120

F=6.67×60×10

−11

F=4.02×10

9

N