Given:
Kinetic energy (KE)= 100,000 J
Mass (m)= 800 kg
To find:
The velocity of the object to the nearest hundredth.
Solution:
We know that,
[tex]KE=\dfrac{1}{2}mv^2[/tex]
where, KE is kinetic energy (in J), m is mass (in kg) and v is velocity (in m/s).
Put KE=100000 and m=800 in the above formula.
[tex]100000=\dfrac{1}{2}(800)v^2[/tex]
[tex]100000=400v^2[/tex]
Divide both sides by 400.
[tex]\dfrac{100000}{400}=v^2[/tex]
[tex]250=v^2[/tex]
Taking square root on both sides.
[tex]\sqrt{250}=v[/tex]
[tex]v=15.8113883[/tex]
[tex]v\approx 15.81[/tex]
Therefore, the velocity of the object is 15.81 m/s.
