✎ Answer
The mass of the particle is 50 kg.
Solution:
Given that:
- Mass: ?
- Velocity: 10 m/s
- Kinetic Energy: 2,500 J
Using the formula for kinetic energy:
[tex]{\large{\boxed{\tt{K.E.={\frac{1}{2}}\:(mv^{2})}}}}[/tex]
- where mass m is in kg, velocity v is in m/s, and K.E. is in joules.
Plugging in the values and solving for the mass m:
- [tex]{\tt{2,500\:J={\frac{1}{2}}\:[m(10{\frac{m}{s}})^{2}]}}[/tex]
- [tex]{\tt{2,500\:J={\frac{1}{2}}\:[(m)(100{\frac{m^{2}}{s^{2}}})]}}[/tex]
- [tex]{\tt{2,500\:J=(m)(50{\frac{m^{2}}{s^{2}}})}}[/tex]
- [tex]{\large{\tt{m={\footnotesize{\frac{2,500\:J}{50{\frac{m^{2}}{s^{2}}}}}}}}}[/tex]
[tex]{\large{\tt{∴\:m={\boxed{\underline {\green{\tt{50\:kg}}}}}}}}[/tex]
[tex]{\: \:}[/tex]
[tex]{\huge{\underline{\sf{Hope\:It\:Helps}}}}[/tex]
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