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Answer:
- Gravitational force on the 1 kg object placed on the earth's surface will be 9.77 Newton
Explanation:
Given,
- mass of object (placed on earth surface) , m = 1 kg
- mass of earth, M = 6 × 10²⁴ kg
- radius of earth, R = 6.4 × 10⁶ m
we need to find,
- Magnitude of the gravitational force between Earth and the 1 kg object , F = ?
Formula we need to use is,
- F = G m M / R²
[ where F is the gravitational force between two objects of masses m and M ; R is the distance between the two objects (In this question R is the distance between centre of earth and earth's surface which is giving the distance between earth and the object) ; G is the universal gravitational constant ]
so,
Using formula
→ F = G m M / R²
[ putting given values and G = 6.7 × 10⁻¹¹ N kg⁻² m² ]
→ F = (6.67 × 10⁻¹¹) (1) (6 × 10²⁴) / (6.4 × 10⁶)²
→ F = 6.67 × 6 × 10¹³ / (6.4 × 6.4 × 10¹²)
→ F = 40.02 × 10¹³ / ( 40.96 × 10¹² )
→ F = 9.77 Newton
therefore,
- Gravitational force on the 1 kg object placed on the earth's surface will be 9.77 Newtons .(approx.)
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