Question

Nicholas is at The Noah's Ark Amusement Park and preparing to ride on The Point of No Return racing slide. At the top of the slide, Nicholas (m=50 kg) is 28.5 m above the ground. Determine Nicholas' speed as he arrives at the bottom of the slide.

Answer 1

You can not determine the speed based on the information given

Answer 2

Answer:

Explanation:

Recall that from the principle of conservation of energy,

P.E = K.E -------- eqn i

Solution

P.E = mgh

K.E = $\frac{1}{2} mv^{2}$

i.e mgh = $\frac{1}{2} mv^{2}$ --------- eqn ii

m = 50 kg

v = ?

g = 9.8 $ms^{-2}$

h = 28.5 m

substitute for all values in eqn ii

50 X 9.8 X 28.5 = $\frac{1}{2} X 50 X v^{2}$

13965 = $25 X v^{2}$

$v^{2} = \frac{13965}{25}$

$v^{2} = 558.6$

$v = \sqrt{558.6}$

v = 23.635 m/s

Therefore, Nicholas arrives the bottom of the slide at a speed of 23.635 m/s