How many times is the flight range of a body thrown at an angle to the horizon on the surface of the Moon

| January 31, 2021 | education

How many times is the flight range of a body thrown at an angle to the horizon on the surface of the Moon, greater than a similar value on Earth? The initial velocity and angle at which the body is thrown are the same on the Moon and on Earth. Acceleration of gravity on the lunar surface is taken equal to 1.6 m / s²

The formula for calculating the flight range at a known throwing angle of the body and its initial speed is calculated by the formula:

Lmax = (2 * v² * sin A * cos A) / a.

The accelerations of gravity on the Moon and on Earth are in the ratio 1.6: 9.8 = 8/49.

Since the range of flight is inversely proportional to the acceleration of gravity, the range of a body on the Moon will be as many times greater than the same range on Earth, how many times the acceleration of gravity on Earth is greater than the acceleration of free fall on the Moon, i.e. 49/8 = 6.125.

Answer: the flight range of the body on the Moon will be 6.125 times greater than the Earth’s.



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