# Calculate Acceleration to Lift: 450N-1000N = 250N

• whkoh
In summary, a painter weighing 1000 N pulls on a rope attached to a crate weighing 250 N. The force he exerts on the floor of the crate is 450 N, resulting in an acceleration of 1.96 m/s² upwards. This is because the total weight being lifted (painter and crate) is equal to the net force (450 N) divided by the acceleration. When taking into account the mass of the crate, the total weight being lifted changes and must be used to calculate the acceleration.
whkoh

A painter in a crate hangs alongside a building.

When the painter, who weighs 1000 N, pulls on the rope, the force he exerts on the floor of the crate is 450 N. If the crate weighs 250 N, find the acceleration. (ans=1.96 m/s²)

Lift accelerates upwards, because man is pulling down.

hence,
N (upwards) - mg (downwards) = ma (upwards)

Is it right?

Question:
for mg and ma, do I need to take into account the mass of the crate?

"Lift accelerates upwards, because man is pulling down."

Are you sure of that? Remember, he is in the crate himself! He has to lift both himself and the crate. What is the total weight he is trying to lift? Once you have figured out the net force (weight downward, rope pulling up), you need to find the mass corresponding to that total weight in order to find acceleration.

Yes, you need to take into account the mass of the crate in order to accurately calculate the acceleration. The equation for acceleration is a = F/m, where F is the net force and m is the mass. In this case, the net force is 250 N and the mass is the combined mass of the painter and the crate (1000 N + 250 N = 1250 N). So, the equation becomes a = 250 N / 1250 N = 0.2 m/s². This means that the crate and the painter will accelerate upwards at a rate of 0.2 m/s².

## What is the formula for calculating acceleration to lift?

The formula for calculating acceleration to lift is force divided by mass (a = F/m). In this case, the force is the difference between the upward force (450N) and the downward force (1000N), which equals 250N.

## What is the unit of measurement for acceleration?

The unit of measurement for acceleration is meters per second squared (m/s²). This represents the rate of change of velocity over time.

## How does an increase in force affect acceleration?

An increase in force will lead to an increase in acceleration, as long as the mass remains constant. This can be seen in the formula for acceleration, where a larger force will result in a larger value for acceleration.

## How does a decrease in mass affect acceleration?

A decrease in mass will lead to an increase in acceleration, as long as the force remains constant. This can be seen in the formula for acceleration, where a smaller mass will result in a larger value for acceleration.

## What is the relationship between force, mass, and acceleration?

The relationship between force, mass, and acceleration is described by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that as force increases, acceleration will also increase, and as mass decreases, acceleration will also increase.

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