Answer:
Question a:
[tex]{ \rm{kinetic \: energy = \frac{1}{2} m {v}^{2} }} \\ [/tex]
• then let's make m the subject:
[tex]{ \rm{E = \frac{1}{2}m {v}^{2} }} \\ \\ { \rm{m {v}^{2} = 2E }} \\ \\ { { \green{ \boxed{ \boxed{ \bf{m = \frac{2E}{ {v}^{2} } }}}}}} \\ [/tex]
Answer: m = 2E/v²
Question b:
[tex]{ \rm{m = \frac{2E}{ {v}^{2} } }} \\ \\ { \rm{m = \frac{(2 \times 2500)}{ {10}^{2} } }} \\ \\ { \rm{m = \frac{5000}{100} }} \\ \\ { \boxed{ \boxed{ \rm{ \: m = 50 \: kg \: }}}}[/tex]
Answer: mass is 50 kg
