# Work required for truck up a hill problem

• gigglin_horse
In summary, the conversation discusses the concept of work and whether a fully loaded truck requires more work to reach a given speed compared to a lightly loaded truck. The conversation also mentions the equations for work, force, distance, and kinetic energy. Through the discussion, it is concluded that the greater weight of the truck does require more work to reach the same speed.
gigglin_horse

## Homework Statement

"Is more work required to bring a fully loaded truck up to a given speed than the same truck lightly loaded? Defend your answer"

## Homework Equations

I put:
Work = Force x distance
Distance = speed x time
As speed in a common factor, we take it out
Work = Force x time....Is this correct so far?

So the work is the same.
Small force, long time, or short time, big force.

But doesn't work = change in KE?
so W = 1/2 m x v^2
...So the greater one does require more work?

I don't know...

## The Attempt at a Solution

gigglin_horse said:
I put:
Work = Force x distance
Distance = speed x time
As speed in a common factor, we take it out
Work = Force x time....Is this correct so far?
No, not correct. (If work = force*distance, which it does, how can it also equal force*time? The units won't even make sense. FYI: force*time = change in momentum, not work.)

So the work is the same.
Small force, long time, or short time, big force.
No.

But doesn't work = change in KE?
Yes!
so W = 1/2 m x v^2
...So the greater one does require more work?
Yes!

Brilliant, thank you
=]

## What is the "work required for truck up a hill problem"?

The "work required for truck up a hill problem" is a physics problem that involves calculating the amount of work needed for a truck to move up a hill at a given speed and slope.

## What are the key factors that affect the work required for a truck to go up a hill?

The key factors that affect the work required for a truck to go up a hill include the mass of the truck, the slope of the hill, and the speed at which the truck is moving.

## How is the work required for a truck to go up a hill calculated?

The work required for a truck to go up a hill is calculated using the formula W = mgh, where W is work, m is mass, g is the acceleration due to gravity, and h is the height or vertical distance the truck travels up the hill.

## What is the relationship between work and energy in the context of the truck up a hill problem?

In the context of the truck up a hill problem, work and energy are directly related. The work done by the truck is equal to the change in its kinetic and potential energy as it moves up the hill. This means that the work required to move the truck up the hill is equal to the energy it gains due to its change in position.

## How does the work required for a truck to go up a hill change with a steeper slope?

The work required for a truck to go up a hill increases as the slope of the hill becomes steeper. This is because a steeper slope requires the truck to work against a greater gravitational force, resulting in more work being done to move the truck up the hill.

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