Calculate the escape velocity for a body to break through the earth’s gravitational field take g=10m/s^2,r=6,400km
To calculate the escape velocity, we can use the formula:
v = √(2 * g * r)
where v is the escape velocity, g is the acceleration due to gravity, and r is the radius of the body (distance from the center of the Earth).
Given:
g = 10 m/s^2
r = 6,400 km = 6,400,000 m
Plugging in these values into the formula, we get:
v = √(2 * 10 * 6,400,000)
v = √(128,000,000)
v ≈ 11,313.71 m/s
Therefore, the escape velocity for a body to break through the Earth's gravitational field is approximately 11,313.71 m/s.