Work & Velocity: Solve 100m Distance, 2 Ton Car

In summary, the problem involves a car with a mass of 2 tons and a maximum speed of 80 kmph. The driver wants to save fuel by taking his foot off the accelerator and traveling a distance of 100m. Using the equation v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance, we can calculate the speed of the car after traveling 100m. The friction force is given as 1.2 kN and the initial velocity is 22.22 m/s.
  • #1
herbgriffin
17
0

Homework Statement


The driver of a car wishing to save the fuel takes his leg off the accelerator when the car is moving at a maximum speed of 80 kmph. Determine the speed of the car after traveling a distance of 100m. The mass of car is 2 tons and the force of friction is 0.6 kN/ ton.


Homework Equations


Work = Force * distance
kinetic force = 1/2 (mV^2 - mVi^2)



The Attempt at a Solution


Frictional force = 0.6kN/ton( 2 tons) = 1.2 kN
Vi= 80 kmph = 22. 22 m/s
i don't know how to start please help me ...please..
 
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  • #2
use equation of motion
v^2 = u^2 + 2as
 
  • #3
Why are you trying to calculate work? The problem does not ask for that. You have the friction force so can calculate the deceleration (negative acceleration). Use the formula that ashishsinghal gives.
 

1. How do you calculate work?

Work is calculated by multiplying the force applied to an object by the distance the object moves in the direction of the force. The equation for work is W = F * d, where W is work, F is force, and d is distance.

2. How is velocity related to work?

Velocity is the rate of change of an object's position over time. In the context of work, velocity is important because it affects the amount of work that can be done. The faster an object moves, the more work it can do in a given amount of time.

3. How do you calculate velocity?

Velocity is calculated by dividing the distance an object moves by the time it takes to move that distance. The equation for velocity is v = d/t, where v is velocity, d is distance, and t is time.

4. How do you solve for distance given work and velocity?

To solve for distance, you can rearrange the equation for work to d = W/F. Then, you can substitute in the values for work and velocity to solve for distance.

5. How does the mass of an object affect its work and velocity?

The mass of an object affects its work and velocity in different ways. In terms of work, a heavier object may require more force to move the same distance as a lighter object, resulting in more work being done. In terms of velocity, a heavier object may require more force to accelerate to the same velocity as a lighter object, resulting in a slower velocity.

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