Question

I need help with 6Answers from items 4 and 5 are:4) PE = 05) KE = 19800 J

Answer 1

ANSWER

v = 19.9 m/s

EXPLANATION

The kinetic energy formula is

$KE=\frac{1}{2}mv^2$

We have that KE = 19800 J, m = 100 kg and we have to find v.

Solving the equation of kinetic energy for v:

$v=\sqrt[]{\frac{2KE}{m}}$

Replace with the values:

$v=\sqrt[]{\frac{2\cdot19800J}{100\operatorname{kg}}}=\sqrt[]{\frac{39600\frac{\operatorname{kg}\cdot m^2}{s^2}}{100\operatorname{kg}}}=\sqrt[]{396\frac{m^2}{s^2}}\approx19.9m/s$

The velocity of the roller coaster at point C is 19.9 m/s