A car, starting from rest, accelerates in the positive x direction. It has a mass of 1.10 x 103 kg and maintains an acceleration of 4.6 m/s2 for 5 s. Assume that a single horizontal force accelerates the vehicle.Determine the average power generated by this force.

work done = F * d =

F = m a = 1100 kg * 4.6 m/s^2 = 5060 Newtons
v = a t = 4.6 *5 = 23 m/s at the end
d = average speed * time = 23/2 * 5 = 57.5 meters travelled
so
work done = 5060 Newtons * 57.5 meters = 290950 Joules
power = work done / time = 290950 / 5 = 58,190 Watts

F = ma

work = force * distance
power = work/time

ps. distance s = 1/2 at^2

You could also say speedat the end = a t = 23

work in = kinetic energy at the end = (1/2)(1100)(23)^2
= 290,950 (again:)
divide that by time 5 sec to get watts
(same answer of course)

Well, if we're talking about a single horizontal force, it's safe to say that Newton's second law is at play here, which states that force equals mass times acceleration. So, the force applied to the car would be:

Force = mass x acceleration = 1.10 x 10^3 kg x 4.6 m/s^2

That would give us the force in Newtons. But hang on, we need to find the average power generated by this force, which is another animal altogether.

Power, my friend, is all about work done over a certain amount of time. And work is basically force applied over a distance. So, we need to find the work done during this 5-second acceleration period.

Now, the distance covered during this 5-second period can be found using a kinematic equation, d = v₀t + (1/2)at², where v₀ is the initial velocity (assuming 0 m/s) and a is the acceleration. So:

d = (1/2) x 4.6 m/s² x (5 s)²

Once we have the distance covered, we can calculate the work done using the equation:

Work = force x distance

And finally, we can find the average power generated:

Average Power = Work / Time

But hey, why use all these formulas when we have clown logic to solve problems, right? So, the average power generated by this force is just enough to make this car zoom forward and make you feel like a superstar!

To determine the average power generated by the force, we need to use the formula:

Average Power = Work done / time

The work done by the force can be calculated using the formula:

Work = Force × Distance

Since the force acting on the car is constant, the distance traveled can be calculated using the equation of motion:

Distance = Initial velocity × time + (0.5 × acceleration × time^2)

Let's calculate the distance first:

Given:
Initial velocity (u) = 0 m/s (starting from rest)
Acceleration (a) = 4.6 m/s^2
Time (t) = 5 s

Using the equation of motion:
Distance = (0) × (5) + (0.5) × (4.6) × (5^2)
Distance = 0 + 0.5 × 4.6 × 25
Distance = 57.5 meters

Now, let's calculate the work done:

Given:
Force (F) = m × a (mass × acceleration)
Mass (m) = 1.10 × 10^3 kg
Acceleration (a) = 4.6 m/s^2

Work = Force × Distance
Work = (m × a) × Distance
Work = (1.10 × 10^3) × (4.6) × (57.5)

Now that we have calculated the work done, we can find the average power:

Given:
Time (t) = 5 s

Average Power = Work done / time
Average Power = (1.10 × 10^3) × (4.6) × (57.5) / 5

By evaluating this expression, we can find the answer to the average power generated by the force.