Answer:
4.2 x 10⁵kg
Explanation:
Given parameters:
Speed of orbit = 7660m/s
Kinetic energy = 1.24 x 10¹³J
Unknown:
Mass = ?
Solution:
Kinetic energy is the energy due to the motion of a body. It is mathematically expressed as;
K.E = [tex]\frac{1}{2}[/tex]mv²
m is the mass
v is speed
Now insert the parameters and find the mass;
1.24 x 10¹³ = [tex]\frac{1}{2}[/tex] x m x 7660²
1.24 x 10¹³ = 2.93 x 10⁷m
m = [tex]\frac{1.24 x 10^{13} }{2.93 x 10^{7} }[/tex] = 0.42 x 10⁶kg = 4.2 x 10⁵kg
