Question

I have finished most of this question just need help on making sure it’s correct and the last 2

Answer 1

Given

m: mass

m = 50 kg

KE: kinetic energ

PEg: gravitational potential energy

v: speed

Procedure

Point A

KE = 0

PEg = mgh

PEg = 50 kg * 10 m/s^2 * 100 m

PEg = 50000 J

v = 0 m/s

Point B

h = 60 m

PEg = mgh

PEg = 50 kg * 10 m/s^2 * 60 m

PEg = 30000 J

KE = 20000 J

`\begin{gathered} v=\sqrt[]{(2\cdot KE)/(m)} \\ v=\sqrt[]{\frac{2\cdot20000\text{ J}}{50\text{ kg}}} \\ v=\sqrt[]{800\text{ }} \\ v=28.28\text{ m/s} \end{gathered}`

Point C

h = 30 m

PEg = mgh

PEg = 50 kg * 10 m/s^2 * 30 m

PEg = 15000 J

KE = 35000 J

Point D

h = 60 m

PEg = mgh

PEg = 50 kg * 10 m/s^2 * 60 m

PEg = 30000 J

KE = 20000 J

`\begin{gathered} v=\sqrt[]{(2\cdot KE)/(m)} \\ v=\sqrt[]{\frac{2\cdot20000\text{ J}}{50\text{ kg}}} \\ v=\sqrt[]{800\text{ }} \\ v=28.28\text{ m/s} \end{gathered}`

Point E

h = 0

PEg = 50 kg * 10 m/s^2 * 0

PEg = 0 J

KE = 50000 J

`\begin{gathered} v=\sqrt[]{(2\cdot KE)/(m)} \\ v=\sqrt[]{\frac{2\cdot50000\text{ J}}{50\text{ kg}}} \\ v=44.72\text{ m/s} \end{gathered}`