Answer:
39,000 Joules of Work
Explanation:
Work can be found out through the change in Kinetic Energy.
W = ΔKE
Change in KE is:
[tex]W = KE_{Final} - KE_{Initial}[/tex]
Expand the equation you get:
[tex]W=\frac{1}{2} mv^{2}_{f} -\frac{1}{2} mv^{2}_{i}[/tex]
Plugin the known values and solve:
[tex]W=\frac{1}{2} (500)(16)^{2} -\frac{1}{2} (500)(10)^{2}[/tex]
[tex]W=(250)(256) -(250)(100)[/tex]
[tex]W=64000-25000[/tex]
[tex]W=39000 J[/tex]