Answer:
Velocity= 19.05 m/s
Kinetic energy= 3.08 J
Explanation:
The corn possess potential energy. Feom law of conservation of energy, all the potential eneegy will be converted to kinetic energy, with negligible friction.
Potential energy, PE= kinetic energy, KE
Potential energy is given by mgh while kinetic energy is given by [tex]0.5mv^{2}[/tex]
Equating
[tex]mgh=0.5mv^{2}[/tex]
Making v the subject of the formula then
[tex]v=\sqrt {2gh}[/tex]
Substituting 9.81 m/s2 for g and 18.5 m for h then the velocity will be
[tex]v=\sqrt {2\times 9.81\times 18.5}=19.0517715711689\ m/s\\v\approx 19.05\ m/s[/tex]
To get the kinetic eneegy, since PE=KE AND KE is
[tex]KE=0.5mv^{2}[/tex]
Substituting v with 19.05 and m with 0.017 kg we have
[tex]0.5\times 0.017\times 19.05^{2}=3.08467125/ J\approx 3.08 J[/tex]
This can also be achieved by mgh since PE=KE hence 0.17*9.81*18.5=3.085245 J and the results are slightly different due to small energy losses and rounding off of values.
