How much work is done to move a 1400 kg car from rest to 25 m/s.If this takes place over a
distance of 130 m, what is the average net force?
The work done to move an object can be calculated using the equation:
Work = Force * Distance
In this case, we need to find the work done to move the car from rest to a velocity of 25 m/s over a distance of 130 m.
The work done can be calculated as:
Work = Force * Distance
We can rearrange the equation to solve for the force:
Force = Work / Distance
Given that the mass of the car is 1400 kg and the distance is 130 m, we can find the work done:
Work = (1/2) * Mass * Velocity^2
Work = (1/2) * 1400 kg * (25 m/s)^2
Work = (1/2) * 1400 kg * 625 m^2/s^2
Work = 437500 J
Now let's calculate the average net force using the formula:
Force = Work / Distance
Force = 437500 J / 130 m
Force ≈ 3365.38 N
Therefore, the average net force required to move the car from rest to a velocity of 25 m/s over a distance of 130 m is approximately 3365.38 N.
To calculate the work done to move the car, we can use the formula:
Work = Force x Distance
In this case, the force required to move the car is the net force, which is the force needed to overcome friction and accelerate the car. The distance traveled by the car is given as 130 m.
To calculate the work, we need to find the force first. We know the mass of the car is 1400 kg, and we can calculate the acceleration using the equation:
Acceleration = (Final Velocity - Initial Velocity) / Time
The car is starting from rest, so the initial velocity is 0 m/s. The final velocity is given as 25 m/s.
Next, we need to find the time it takes for the car to reach the final velocity. We can use the kinematic equation:
Final Velocity = Initial Velocity + Acceleration * Time
Since the car starts from rest, the initial velocity is 0 m/s, and we can rearrange the equation to solve for time:
Time = (Final Velocity - Initial Velocity) / Acceleration
Plug in the values:
Time = (25 m/s - 0 m/s) / Acceleration
Now, we can use the equation F = m * a to solve for the net force:
Net Force = Mass x Acceleration
Plug in the values:
Net Force = 1400 kg x Acceleration
Finally, we can calculate the work done using the formula mentioned earlier:
Work = Net Force x Distance
Plug in the values:
Work = (1400 kg x Acceleration) x 130 m
Now let's find the values of acceleration and calculate the work done and average net force.
Your answer is not complete
Work done =
W = (1/2)*M*Vfinal^2
= 700*(25)^2 = ___ Joules
Average force = W/X
where X = 130 m
The answer will be in newtons.