A body moves a distance of 10 m along a straight line under the action of a force of 5 N. If the work done is 25 joules, the angle which the force makes with the direction of motion of the body:

Explanation

To find the angle between the force and the direction of motion of the body, we can use the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. The work-energy principle is given by the formula: Work (W) = Change in Kinetic Energy (ΔKE) Given that the work done (W) is 25 joules and the force applied (F) is 5 N, and the body moves a distance of 10 m along a straight line, we can set up the equation: W = F * d * cos(θ) where: W = 25 J (Work done) F = 5 N (Force applied) d = 10 m (Distance moved) θ = the angle between the force and the direction of motion of the body Now, we can rearrange the equation to solve for the angle θ: cos(θ) = W / (F * d) cos(θ) = 25 J / (5 N * 10 m) cos(θ) = 25 J / 50 N·m cos(θ) = 0.5 Now, to find the angle θ, we take the inverse cosine (cos⁻¹) of 0.5: θ = cos⁻¹(0.5) θ ≈ 60 degrees So, the angle which the force makes with the direction of motion of the body is approximately 60 degrees.