Answer:
Explanation:
Recall that from the principle of conservation of energy,
P.E = K.E -------- eqn i
Solution
P.E = mgh
K.E = [tex]\frac{1}{2} mv^{2}[/tex]
i.e mgh = [tex]\frac{1}{2} mv^{2}[/tex] --------- eqn ii
m = 50 kg
v = ?
g = 9.8 [tex]ms^{-2}[/tex]
h = 28.5 m
substitute for all values in eqn ii
50 X 9.8 X 28.5 = [tex]\frac{1}{2} X 50 X v^{2}[/tex]
13965 = [tex]25 X v^{2}[/tex]
[tex]v^{2} = \frac{13965}{25}[/tex]
[tex]v^{2} = 558.6[/tex]
[tex]v = \sqrt{558.6}[/tex]
v = 23.635 m/s
Therefore, Nicholas arrives the bottom of the slide at a speed of 23.635 m/s
