Calculating Max Speed of a Car on a Horizontal Road

In summary, the problem involves a car moving on a horizontal road with a resistance of 400 N. The engine has a maximum power of 16.0 kW and the question is asking for the greatest speed in kph that the car can reach. The relevant equations include P=W/t and P=Fv (dot product). However, W=Fv is not a valid formula and the correct formula for work is P=Fv. Using this formula, the greatest speed can be determined.
  • #1
Kararr
6
0
1. "A car moves along a horizontal road against a resistance of 400 N. What is the greatest speed in kph that the car can reach if the engine has a maximum power of 16.0 kW?"

Homework Equations

:
P= W/change in time
P= F x v (dot product)
Please help ):
[/B]
 
Last edited:
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  • #2
W = F x v
is not correct

x is not the sign for a dot product
x is the cross product
 
  • #3
NascentOxygen said:
W = F x v
is not correct

x is not the sign for a dot product
x is the cross product
Sorry didn't know how to put the dot symbol that's why I put it in parentheses whoops
 
  • #4
Besides, work is not force times velocity...
 
  • #5
Kararr said:
didn't know how to put the dot symbol that's why I put it in parentheses whoops
The symbol mistake was incidental. The major problem is your formula W = F v
is not a valid formula. What formula for work does your textbook use?
 
  • #6
NTW said:
Besides, work is not force times velocity...
Edited: it's power=fv.
 
  • #7
NascentOxygen said:
The symbol mistake was incidental. The major problem is your formula W = F v
is not a valid formula. What formula for work does your textbook use?
Edited, p=fv
 
  • #8
So, can you use that equation to determine the "greatest speed" as the problem statement asks?
 

What factors affect the maximum speed of a car on a horizontal road?

The maximum speed of a car on a horizontal road depends on several factors such as the engine power, aerodynamics of the car, weight of the car, road conditions, and air resistance.

How is the maximum speed of a car on a horizontal road calculated?

The maximum speed of a car on a horizontal road can be calculated by using the formula V = √(μmg/ρAC), where V is the maximum speed, μ is the coefficient of friction, m is the mass of the car, g is the acceleration due to gravity, ρ is the air density, A is the frontal area of the car, and C is the drag coefficient.

What is the role of air resistance in calculating the maximum speed of a car on a horizontal road?

Air resistance plays a significant role in determining the maximum speed of a car on a horizontal road. As the car moves forward, it encounters air resistance that creates a force in the opposite direction, slowing down the car. This force increases with the speed of the car, and at a certain point, it balances out the driving force of the car, limiting its maximum speed.

How does the weight of the car affect its maximum speed on a horizontal road?

The weight of the car affects its maximum speed on a horizontal road as it determines how much force is needed to move the car forward. A heavier car requires more force to overcome its weight, which can limit its maximum speed. On the other hand, a lighter car can achieve a higher maximum speed as it requires less force to move it forward.

How do road conditions impact the maximum speed of a car on a horizontal road?

The condition of the road surface can affect the maximum speed of a car on a horizontal road. A smooth and well-maintained road offers less resistance, allowing the car to achieve a higher maximum speed. On the other hand, a rough or slippery road surface can increase the resistance and limit the car's maximum speed.

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