Work done in pulling the chain against gravity: In physics, three fundamental concepts play a crucial role in understanding and describing the motion and interactions of objects: Work, Energy, and Power. These concepts are interrelated and form the foundation of the study of mechanics and other branches of science and engineering.
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Example: Lifting a box from the ground to a shelf. When you apply a force to lift the box, you do work on it by transferring energy, increasing its potential energy as it moves upward. To calculate the work done in pulling a chain against gravity, you can use the formula for work done against a gravitational force. The formula is: W = F*cos(θ) Where: - W is the work done (measured in joules, J). - F is the force applied (measured in newtons, N). - d is the displacement (measured in meters, m). - θ is the angle between the force applied and the direction of displacement (measured in degrees).Also Check - Thermodynamics Formula
In the context of pulling a chain against gravity, you would consider the following:Also Check - Gravitation Force Formula
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First, calculate the vertical component of the force (\(F_v\)) required to lift the chain: F = m * g = 8* 9.81= 78.48 N Now, calculate the force applied along the incline (\(F_{\text{pull}}\)) using trigonometry. Since the incline makes a 30-degree angle with the horizontal, we have: F= F cos(30) = 78.48*cos(30) = 68.02 \,N Now, use the formula for work done: W = F_*d = 68.02* 5 = 340.1 (J) So, the work done in pulling the 8 kg chain up the 30-degree incline for a horizontal distance of 5 meters against gravity is approximately 340.1 Joules.