Question

Type the correct answer in the box. Round your answer to the nearest tenth. Dina has a mass of 50 kilograms and is waiting at the top of a ski slope that’s 5.0 meters high. The maximum velocity she can reach when she skis to the bottom of the slope is meters/second. Use PE = m × g × h, g = 9.8 m/s2, and . Ignore air resistance and friction.

Answer 1

I guess once you input the numbers into the correct places into the equation it would look like this :
PE = 50 * 9.8 * 5.0
PE = 2,450

Answer 2

Answer:

The maximum velocity she can reach when she skis to the bottom of the slope is 9.89 m/s.

Explanation:

Mass of the Dina = m = 50 kg

Height of the ski slope = h = 5.0 m

Velocity of Dina = v

Potential energy of Dina at top of the slope  =  P.E

$P.E=mgh$

$P.E.=50 kg\times 9.8 m/s^2\times 5.0 m=2450 J$

when Dina skies down to the bottom her potential energy will get completely converted into kinetic energy. That means potential energy at bottom becomes zero.

$K.E=\frac{1}{2}mv^2=2450 J$

$\frac{1}{2}\times 50 kg \times v^2=2450 J$

v = 9.89 m/s

The maximum velocity she can reach when she skis to the bottom of the slope is 9.89 m/s.