an automobile to be transported by ship is raised above the dock by a crane. If the gravitational potential energy of the car is 6.6 x 10^4 and the mass is 960 kg how high has the car been lifted?

m times 9.8 times h

960 x 9.8 x h = 6.6 x 10^4

Simplify.

4408 x h = 66000

66000 / 4408 = 14.97

h = 14.97

To determine the height the car has been lifted, we can use the gravitational potential energy formula:

Gravitational Potential Energy (PE) = m * g * h,

where PE is the gravitational potential energy, m is the mass of the car, g is the acceleration due to gravity, and h is the height the car has been lifted.

Given:
PE = 6.6 x 10^4 J
m = 960 kg
g = 9.8 m/s^2

Substituting the given values into the formula, we have:

6.6 x 10^4 J = 960 kg * 9.8 m/s^2 * h

Now we can solve for h:

h = (6.6 x 10^4 J) / (960 kg * 9.8 m/s^2)

h ≈ 6.99 meters

Therefore, the car has been lifted to a height of approximately 6.99 meters.

To determine the height the car has been lifted, we can use the equation for gravitational potential energy:

Gravitational Potential Energy = mass × gravitational acceleration × height

Given:
Gravitational Potential Energy (GPE) = 6.6 × 10^4 J
Mass (m) = 960 kg
Gravitational acceleration (g) = 9.8 m/s^2 (approximately)

Rearranging the equation, we have:

Height (h) = GPE / (mass × gravitational acceleration)

Substituting the given values:

Height (h) = (6.6 × 10^4 J) / (960 kg × 9.8 m/s^2)

Calculating this expression, we find:

Height (h) ≈ 6.78 m

Therefore, the car has been lifted to a height of approximately 6.78 meters.