Question

Calculate the force with which the moon pulls every kilogram of water in the Narayani River given that the moon is 3 x 10⁵ km away from Nepal, and the mass of the moon is 7 x 10²2 kg.

A. 2.1 x 10⁻4 N
B. 3.0 x 10⁻6 N
C. 1.4 x 10⁷ N
D. 5.6 x 10⁹ N

Answer 1

To calculate the force with which the moon pulls every kilogram of water in the Narayani River, we can use Newton's law of universal gravitation: F = (G * m1 * m2) / r^2. Plugging in the values, the force is approximately 2.1 x 10^-4 N.

Step-by-step explanation:

To calculate the force with which the moon pulls every kilogram of water in the Narayani River, we can use Newton's law of universal gravitation:

F = (G * m1 * m2) / r^2

Where:

• F is the force of attraction between the moon and water
• G is the gravitational constant (6.67 x 10^-11 N.m^2/kg^2)
• m1 is the mass of the moon (7 x 10^22 kg)
• m2 is the mass of water (1 kg)
• r is the distance between the moon and Nepal (3 x 10^5 km)

Converting the distance to meters and plugging in the values, we get:

F = (6.67 x 10^-11 N.m^2/kg^2 * 7 x 10^22 kg * 1 kg) / (3 x 10^5 km * 1000 m/km)^2

Simplifying the equation gives:

F ≈ 2.1 x 10^-4 N

Therefore, option A: 2.1 x 10^-4 N is the correct answer.