a roller coaster with a potential energy of 235,200 j sits at the top of a 30 m high hill. what is the mass…

a roller coaster with a potential energy of 235,200 j sits at the top of a 30 m high hill. what is the mass of the roller coaster? (formula: pe = mgh) 800 kg 7,840 kg 8,000 kg 78,400 kg

a roller coaster with a potential energy of 235,200 j sits at the top of a 30 m high hill. what is the mass of the roller coaster? (formula: pe = mgh) 800 kg 7,840 kg 8,000 kg 78,400 kg

Answer

Explanation:

Step1: Rearrange the formula for mass.

Given $PE = mgh$, we can solve for $m$ as $m=\frac{PE}{gh}$. The acceleration due to gravity $g = 9.8\ m/s^{2}$, $PE=235200\ J$ and $h = 30\ m$.

Step2: Substitute the values into the formula.

$m=\frac{235200}{9.8\times30}$ First, calculate $9.8\times30 = 294$. Then, $m=\frac{235200}{294}=800\ kg$.

Answer:

800 kg