Answer :
To determine the mass of object 2, we rearranged the kinetic energy equation to solve for mass, and after substituting the given kinetic energy and velocity, we calculated the mass to be approximately 15,558 kilograms.
The student is asking about the determination of the mass of an object based on its kinetic energy and given velocity. Since we know the kinetic energy (E) of the first object, we can use the equation for kinetic energy to find the mass of the second object. The equation for kinetic energy (K) is:
K = (1/2)mv2
For object 2, we are given the kinetic energy (E = 4,116,000 J) and the velocity (v = 23 m/s), and we are asked to find the mass (m). We can rearrange the formula to solve for m:
m = 2K/v2
Substituting the values we have:
m = 2(4,116,000 J) / (23 m/s)2
m = 8,232,000 J / 529 m2/s2
m = 15,558 kg (approximately)
Therefore, the mass of object 2 is approximately 15,558 kilograms.
