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A Force of 10N displaces an object through 20cm and does work of 1J in the process. Find the angle between the force and displacement.

Question

A Force of 10N displaces an object through 20cm and does work of 1J in the process. Find the angle between the force and displacement.

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Solution

Sure, let's solve this step by step.

Step 1: Understand the problem We know that the work done (W) on an object is given by the formula W = F * d * cos(θ), where F is the force applied, d is the displacement of the object, and θ is the angle between the force and the displacement. We are given that W = 1J, F = 10N, and d = 20cm = 0.2m. We need to find θ.

Step 2: Rearrange the formula to solve for θ We can rearrange the formula to solve for θ as follows: cos(θ) = W / (F * d)

Step 3: Substitute the given values into the formula Substituting the given values into the formula gives us cos(θ) = 1J / (10N * 0.2m) = 1 / 2 = 0.5

Step 4: Solve for θ Finally, we can find θ by taking the inverse cosine (cos^-1) of 0.5. This gives us θ = cos^-1(0.5) = 60 degrees.

So, the angle between the force and the displacement is 60 degrees.

This problem has been solved

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