Answer:
Mass of asteroid will be [tex]M=3\times 10^{10}kg[/tex]
Explanation:
We have given diameter of the asteroid d = 250 miles
So radius [tex]R=\frac{250}{2}=125miles=125\times 1609.34=201167.5m[/tex]
Gravitational field strength [tex]g=4.95\times 10^{-11}m/sec^2[/tex]
Gravitational constant [tex]G=6.67\times 10^{-11}Nm^2/kg^2[/tex]
We know that [tex]g=\frac{GM}{R^2}[/tex], here M is the mass of asteroid
So [tex]4.95\times 10^{-11}=\frac{6.67\times 10^{-11}\times M}{201167.5^2}[/tex]
[tex]M=3\times 10^{10}kg[/tex]
