# How much work would it take to push a # 8 kg # weight up a # 5 m # plane that is at an incline of # pi / 4 #?

The work done against the force of gravity is 277 joules.

An applied force must act against gravity in this situation, which is why work needs to be done.

The definition of work done against (or by) a force is

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To calculate the work done to push the 8 kg weight up a 5 m plane at an incline of π/4 radians, you can use the formula: Work = Force × Distance × cos(θ), where θ is the angle of the incline.

First, calculate the component of the gravitational force acting parallel to the incline, which is mg sin(θ), where m is the mass (8 kg), g is the acceleration due to gravity (approximately 9.8 m/s²), and θ is the angle (π/4 radians).

The force parallel to the incline is: Force = 8 kg × 9.8 m/s² × sin(π/4).

Once you have the force, you can calculate the work done using the formula mentioned earlier, where the distance is 5 m and θ is the angle in radians.

After finding the force and distance, you can calculate the work done.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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