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A Box of Groceries Requires 5.0 Newtons of Force to Lift It up 1.0 Meter. How Much Work Is Done?

Work is a fundamental concept in physics that describes the amount of energy transferred when a force is applied to move an object over a certain distance. In this case, we have a box of groceries that requires 5.0 Newtons of force to lift it up 1.0 meter. Let’s calculate the amount of work done in this scenario.

To calculate work, we use the formula:

Work = Force × Distance × cos(θ)

Where:

– Work is the amount of energy transferred (measured in joules, J).

– Force is the magnitude of the force applied to move the object (measured in newtons, N).

– Distance is the displacement of the object (measured in meters, m).

– θ is the angle between the force applied and the direction of motion (in this case, we assume the force is applied vertically, so cos(θ) = 1).

Given that the force required to lift the box of groceries is 5.0 Newtons and the distance is 1.0 meter, we can calculate the work done as follows:

Work = 5.0 N × 1.0 m × cos(0°)

Work = 5.0 J

Therefore, the amount of work done to lift the box of groceries 1.0 meter is 5.0 joules.

FAQs:

Q: What is work in physics?

A: In physics, work is a measure of the energy transferred to or from an object by the application of a force along a displacement.

Q: What is the formula for calculating work?

A: The formula for calculating work is Work = Force × Distance × cos(θ), where force is the magnitude of the force applied, distance is the displacement of the object, and θ is the angle between the force and the direction of motion.

Q: What are the units of work?

A: Work is measured in joules (J), which is the standard unit of energy in the International System of Units (SI).

Q: Why is the angle θ needed in the formula?

A: The angle θ is required when the force applied is not in the same direction as the displacement. In this case, the force is applied vertically, so cos(θ) = 1, and the angle is not significant.

Q: What does a negative work value indicate?

A: A negative work value indicates that the force applied is in the opposite direction of the displacement, meaning work is done against the motion, such as when lowering an object under the force of gravity.

Q: Can the work done be zero?

A: Yes, the work done can be zero if either the force applied or the displacement is zero. For example, if you push against a wall without any movement, no work is done because there is no displacement.

In conclusion, the amount of work done to lift a box of groceries 1.0 meter, when a force of 5.0 Newtons is applied vertically, is 5.0 joules. Work is a measure of the energy transferred, and it is calculated by multiplying the force applied by the distance moved, taking into account the angle between the force and the direction of motion.

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