How Much Work Is Required to Push a Mass Up an Inclined Plane with Friction?

AI Thread Summary
To calculate the work required to push a 100 kg mass up a 20-degree inclined plane with a displacement of 2.0 m and a coefficient of friction of 0.20, one must first determine the forces acting on the mass. The gravitational force acting down the incline can be calculated using the formula F_gravity = m * g * sin(θ), while the frictional force is found using F_friction = μ * N, where N is the normal force. The normal force can be calculated as N = m * g * cos(θ). The total force required to overcome both gravity and friction is then the sum of these forces. Finally, work is calculated as the product of this total force and the distance moved along the incline.
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If a mass of 100kg is to be pushed up a plane inclined at 20 degrees from the horizontal, with a total displacement of 2.0 m, and a coefficient of friction of 0.20, how much work has to be done? Looking for the formula. Thanks!
 
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Work is defined as force (parallel) component multiplied by the distance.Remember to label all the forces acting on this object of mass 100g.
 
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