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.
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.
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