1000 kg car traveling with a speed of 29 m/s drives horizontally off of a 100 m cliff. The initial potential energy is _____.
Use g=9.8 m/s2
a
980,000 J
b
420,500 J
c
98,000 Nm
d
14,500 J
a 980,000 J
m g h = 1000 * 9.8 * 100 = 980,000 Joules
To find the initial potential energy of the car, we can use the formula:
Potential Energy = mass * gravity * height
Given:
mass of the car = 1000 kg
gravity = 9.8 m/s^2
height of the cliff = 100 m
Using the formula, we can calculate the initial potential energy:
Potential Energy = 1000 kg * 9.8 m/s^2 * 100 m
Potential Energy = 980,000 J
Therefore, the correct answer is option a) 980,000 J.
To find the initial potential energy of the car, we need to determine the height of the cliff and use the equation for gravitational potential energy.
The formula for gravitational potential energy is given by:
Potential Energy = mass * acceleration due to gravity * height
Given:
mass of the car = 1000 kg
acceleration due to gravity = 9.8 m/s^2
height of the cliff = 100 m
Using the formula, we can calculate the potential energy:
Potential Energy = 1000 kg * 9.8 m/s^2 * 100 m
Potential Energy = 980,000 J
Therefore, the correct answer is option a) 980,000 J.