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How much work is needed to lift an object 20 kg at 2 m in the air?

(please help me find a way to solve these types of problems

User Brissles
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2 Answers

2 votes

Answer:

392 joules

Step-by-step explanation:

To solve this problem, you can use the formula for work:

work = force x distance x cos(theta)

where force is the force applied to lift the object, distance is the height the object is lifted, and theta is the angle between the direction of the applied force and the direction of the motion.

Assuming that you are lifting the object straight up, the angle between the force and motion is 0 degrees, so cos(theta) = 1. Also, the force needed to lift the object is equal to its weight, which is:

force = mass x gravity

where mass is the mass of the object and gravity is the acceleration due to gravity (9.8 m/s^2).

Substituting the values into the formula, we get:

work = (20 kg x 9.8 m/s^2 x 2 m) x cos(0)

work = 392 J

Therefore, you would need 392 joules of work to lift a 20 kg object 2 meters in the air.

ALLEN

User Jamie Flournoy
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3 votes

Answer:

The work needed to lift an object is equal to the product of the force needed to lift the object and the distance it is lifted. In this case, the object being lifted has a mass of 20 kg, and it is lifted to a height of 2 m, against the force of gravity.

The force needed to lift the object against gravity is equal to its weight, which can be calculated as:

force = mass x gravity

where the acceleration due to gravity, g, is approximately 9.81 m/s^2 on the surface of the Earth. Thus, the force needed to lift the object is:

force = 20 kg x 9.81 m/s^2 = 196.2 N

The work needed to lift the object can be calculated as:

work = force x distance

where the distance lifted is 2 m. Thus, the work needed to lift the object is:

work = 196.2 N x 2 m = 392.4 Joules (J)

Therefore, it takes 392.4 J of work to lift a 20 kg object 2 m in the air against the force of gravity.

User Rob Elliott
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7.1k points