Question

The sphere of mass 1000 kg are having distance of 0.5m between centres.The force of gravitation is :
${2.67 \times 10}^{ - 4}$
${2.67 \times 10}^{ - 5}$
${2.67 \times 10}^{ - 6}$
${2.67 \times 10}^{ - 7}$
​

Answer 1

Given

• Mass₁ = Mass₂ = 1000 kg
• Distance = 0.5 m

To Find

• Gravitational Force

Solution

☯ F = GMm/d²

• Here G is the gravitational constant whose value is 6.67 × 10⁻¹¹

━━━━━━━━━━━━━━━━━━━━━━━━━

✭ According to the Question :

→ F = GMm/d²

→ F = (6.67 × 10⁻¹¹ × 1000 × 1000)/(0.5)²

→ F = (6.67 × 10⁻¹¹ × 10⁶)/0.25

→ F = (6.67 × 10⁽⁻¹¹ ⁺ ⁶⁾)/0.25

→ F = 6.67 × 10⁻⁵/0.25

→ F = 26.7 × 10⁻⁵

→ F = 2.67 × 10⁻⁶

∴ The Answer to the Question is Option C

Answer 2

Answer:

Answer:Answer :-$\huge\bf \bigodot \: Option \: c$

Explanation :-

Given :-

• Two masses of Sphere = 1000 kg
• Distance between them = 0.5 m

To Find :-

Force of gravitation

Solution :-

As we know that

$\frak \red{f \: = \dfrac{GMm}{{d}^{2}} }$

$\sf \: f = \dfrac{6.67 \times 10 {}^{ - 11} \times 1000 \times1000}{ {0.5}^{2} }$

$\sf \: f \: = \dfrac{6.67 \times {10}^{ - 11} \times {10}^{6} }{ {0.25}^{} }$

$\sf \: f \: = \dfrac{6.67 \times 10 {}^{( - 11 + 6)} }{0.25}$

$\sf \: f \: = 26.7 \times {10}^{ - 5}$

$\frak \pink{ \ddag \: f \: = 2.67 \times 10 {}^{ - 6}}$

Hence :-

The force of gravitation between two object is ${2.67 \times 10}^{ - 6}$.