Question

questions 2 – 8: frictionless rollercoaster
fill in the tables below to calculate the kinetic energy of the cart at point 2 for the following values: ( m = 2,000 , \text{kg}, h_i = 30 , \text{m}, h_f = 10 , \text{m} )

	point 1 (initial)		point 2 (final)
( e_k , (\text{j}) )		( e_k , (\text{j}) )
( e_{\text{total}} , (\text{j}) )		( e_{\text{total}} , (\text{j}) )

question 2
1 pts

1. what is the potential energy at point 1 (( e_p = mgh ))?

Explanation:

Step1: Identify the formula and values

The formula for gravitational potential energy is \( E_p = mgh \), where \( m = 2000 \, \text{kg} \), \( g = 9.8 \, \text{m/s}^2 \) (acceleration due to gravity), and \( h = h_i = 30 \, \text{m} \).

Step2: Substitute the values into the formula

Substitute \( m = 2000 \), \( g = 9.8 \), and \( h = 30 \) into \( E_p = mgh \):
\[
E_p = 2000 \times 9.8 \times 30
\]

Step3: Calculate the result

First, calculate \( 2000 \times 9.8 = 19600 \). Then, multiply by 30:
\[
19600 \times 30 = 588000
\]

Answer:

The potential energy at point 1 is \( 588000 \, \text{J} \).