Calculate the work done by a force of 50N on a block of mass 10kg placed on an incline of 30degrees with the horizontal. (Take g = 10 m/s^2)
Question
Calculate the work done by a force of 50N on a block of mass 10kg placed on an incline of 30 degrees with the horizontal.
(Take g = 10 m/s²)
Solution
To calculate the work done, we need to know the distance the block moves along the incline. However, assuming the block moves a distance d along the incline, we can calculate the work done as follows:
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First, calculate the component of the gravitational force acting along the incline. This is given by F = mgsin(θ), where m is the mass of the block, g is the acceleration due to gravity, and θ is the angle of the incline. Substituting the given values, we get F = 10kg * 10m/s^2 * sin(30°) = 50N.
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The work done by a force is given by W = Fdcos(θ), where F is the force, d is the distance moved, and θ is the angle between the force and the direction of motion. In this case, the force and the direction of motion are along the incline, so θ = 0 and cos(θ) = 1. Therefore, the work done is W = 50N * d * 1 = 50N*d.
So, the work done by the force on the block is 50N*d, where d is the distance the block moves along the incline.
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