Answer:
(a) h = 1.5 m (b) v = 5.29 m/s
Explanation:
1. Given that,
Mass of a rollercoaster cart, m = 4500 kg
It has 67,500 J of gravitational potential energy.
We know that, the gravitational potential energy is given by :
[tex]E=mgh[/tex]
Put all the values,
[tex]h=\dfrac{E}{mg}\\\\h=\dfrac{67500}{4500\times 10}\\\\h=1.5\ m[/tex]
2. The kinetic energy of an object is given by :
[tex]E=\dfrac{1}{2}mv^2\\\\v=\sqrt{\dfrac{2E}{m}}\\\\v=\sqrt{\dfrac{2\times 63000}{4500}}\\\\v=5.29\ m/s[/tex]
Hence, this is the required solution.
