# What is the minimum work needed to push a car

• bosox3790
In summary, to push a 1025 kg car 200 m up along a 17.5° incline, the minimum work needed would be 604117.9512J if friction is ignored. If the effective coefficient of friction is assumed to be 0.40, the work can be calculated using the work-energy theorem, where the work done is equal to the change in kinetic energy, potential energy, and the frictional work. To find the minimum work, the block should be pushed slowly so that there is no change in kinetic energy, and in (b), the frictional work would be equal to the product of the coefficient of friction and the normal force.
bosox3790
What is the minimum work needed to push a 1025 kg car 200 m up along a 17.5° incline?

(a) Ignore friction.
I got 604117.9512J
(b) Assume the effective coefficient of friction retarding the car is 0.40?
how do I get this one?

for a) what does work do? What aspect of the car does it change? How do you calculate the work done then?

Do I need to know Work in this case?

bosox3790 said:
Do I need to know Work in this case?
you can calculate work

work changes the energy

Use the work-energy theorem:
$$W= \Delta K + \Delta U + |W_{fric}|$$
To find the minimum work, push the block slowly so that $$\Delta K=0$$. In (a), W_fric = 0. What is W_fric in (b)?

## What is the minimum work needed to push a car?

The minimum work needed to push a car depends on various factors such as the weight of the car, the friction between the wheels and the ground, and the distance the car needs to be pushed. It also depends on the person pushing the car, as their strength and technique can affect the amount of work required.

## How does the weight of the car affect the minimum work needed?

The heavier the car, the more work is needed to push it. This is because it takes more force to overcome the car's inertia and get it moving.

## What role does friction play in determining the minimum work needed?

Friction between the wheels and the ground creates resistance, making it harder to push the car. The type of surface the car is on also affects the amount of friction, with rougher surfaces requiring more work to push the car.

## Can the minimum work needed be calculated?

Yes, the minimum work needed to push a car can be calculated by multiplying the force required to move the car by the distance it needs to be pushed. This is known as the work-energy principle.

## Is there a way to decrease the minimum work needed to push a car?

Yes, there are a few ways to decrease the minimum work needed. One way is to reduce the weight of the car, either by removing unnecessary items or using a lighter car. Another way is to decrease the amount of friction by using smoother surfaces or lubricating the wheels. Additionally, having proper technique and using tools such as a lever or ramp can also help decrease the amount of work needed to push a car.

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