To solve this problem, we first need to understand the relationship between power, work, and time. Power is defined as work done per unit time, or P = W/t.

In this case, we are given the power (P) as 6.0 kW (or 6000 Watts), and the time (t) as 20 minutes (or 1200 seconds). We can rearrange the formula to solve for work (W): W = P*t.

Substituting the given values, we get W = 6000 Watts * 1200 seconds = 7,200,000 Joules.

The work done by the car is equal to the change in gravitational potential energy, which is given by the formula U = m*g*h, where m is the mass, g is the acceleration due to gravity, and h is the height.

We know that m = 1200 kg and g = 10 m/s^2. We can rearrange the formula to solve for h: h = U/(m*g).

Substituting the given values, we get h = 7,200,000 Joules / (1200 kg * 10 m/s^2) = 600 meters.

So, the height of the hill is 600 meters, which corresponds to option C.

Question

To solve this problem, we first need to understand the relationship between power, work, and time. Power is defined as work done per unit time, or P = W/t.

In this case, we are given the power (P) as 6.0 kW (or 6000 Watts), and the time (t) as 20 minutes (or 1200 seconds). We can rearrange the formula to solve for work (W): W = P*t.

Substituting the given values, we get W = 6000 Watts * 1200 seconds = 7,200,000 Joules.

The work done by the car is equal to the change in gravitational potential energy, which is given by the formula U = m*g*h, where m is the mass, g is the acceleration due to gravity, and h is the height.

We know that m = 1200 kg and g = 10 m/s^2. We can rearrange the formula to solve for h: h = U/(m*g).

Substituting the given values, we get h = 7,200,000 Joules / (1200 kg * 10 m/s^2) = 600 meters.

So, the height of the hill is 600 meters, which corresponds to option C.

Knowee AI · Accepted Answer

To solve this problem, we first need to understand the relationship between power, work, and time. Power is defined as work done per unit time, or P = W/t.

In this case, we are given the power (P) as 6.0 kW (or 6000 Watts), and the time (t) as 20 minutes (or 1200 seconds). We can rearrange the formula to solve for work (W): W = P*t.

Substituting the given values, we get W = 6000 Watts * 1200 seconds = 7,200,000 Joules.

The work done by the car is equal to the change in gravitational potential energy, which is given by the formula U = m*g*h, where m is the mass, g is the acceleration due to gravity, and h is the height.

We know that m = 1200 kg and g = 10 m/s^2. We can rearrange the formula to solve for h: h = U/(m*g).

Substituting the given values, we get h = 7,200,000 Joules / (1200 kg * 10 m/s^2) = 600 meters.

So, the height of the hill is 600 meters, which corresponds to option C.

YouA car takes 20 minutes to climb a hill at constant speed. The mass of the car is 1200 kg and the car gains gravitational potential energy at a rate of 6.0kW. Take the acceleration of gravity to be 10 m s 2. What is the height of the hill?A. 0.6 mB. 10 mC. 600 mD. 6000 m

Question

Solution

Similar Questions

Upgrade your grade with Knowee