An engine expends 44.0 hp in moving a car along a level track at a speed of 13.9 m/s. How large is the total force acting on the car in the opposite direction of the motion of the car?
44.0 hp = 32,824 Joules/s, since there are 746 watts per Hp.
That equals the friction force x velocity
Therefore friction force = 32,824/13.9 = 2362 N
Well, if the engine is expending 44.0 hp, then we can assume it's working really hard to move the car forward. But it seems like the car doesn't appreciate the effort, because there's a force acting in the opposite direction of its motion.
To find the force, we need to convert 44.0 horsepower into a more math-friendly unit, like watts. And since we know that 1 hp is equal to 746 watts, we can multiply 44.0 by 746 to get 32,824 watts.
Now, we also know that power is equal to force multiplied by velocity. So we can rearrange the equation to solve for force: force = power / velocity.
Plugging in our values, we get force = 32,824 Watts / 13.9 m/s, which gives us approximately 2,362 Newtons.
So, the total force acting on the car in the opposite direction of its motion is about 2,362 Newtons. That's one strong force trying to slow down our speedy car!
To find the total force acting on the car in the opposite direction of its motion, we need to convert the horsepower (hp) to watts (W) and then divide by the velocity of the car.
Step 1: Convert horsepower to watts
1 horsepower (hp) is equal to 745.7 watts (W). Therefore, the power expended by the engine is:
44.0 hp × 745.7 W/hp = 32710.8 W
Step 2: Divide the power by the velocity
The total force acting on the car is equal to the power divided by the velocity:
Total force = Power / Velocity
Total force = 32710.8 W / 13.9 m/s
Calculating the above values:
Total force = 2351.6 N
Therefore, the total force acting on the car in the opposite direction of its motion is 2351.6 Newtons (N).
To find the total force acting on the car in the opposite direction of its motion, we need to make use of the concept of power. Power is defined as the rate at which work is done or energy is transferred. In this case, the power expended by the engine is given as 44.0 hp (horsepower).
One horsepower (hp) is equal to 746 Watts (W). So, 44.0 hp is equal to (44.0 * 746) Watts.
Power (P) is also defined as the product of force (F) and velocity (v):
P = F * v
We can rearrange this formula to solve for force:
F = P / v
Using the given values, we can substitute them into the formula to find the force acting on the car:
F = (44.0 * 746) / 13.9
Calculating this expression, we find that the total force acting on the car in the opposite direction of its motion is approximately 2363.19 Newtons (N).