A body moves a distance 0f 10 m along a straight line under the action of a 5 N force. If the work done is 25 J, then angle between the force and direction of motion of the body is
The direction of motion refers to the path along which an object moves. It is determined by the object’s velocity vector, indicating both speed and the angle at which it travels. Understanding the direction of motion is essential in analyzing dynamics, predicting future positions and applying Newton’s laws of motion effectively.
Class 11 Physics covers concepts of work energy and power. It focuses on definitions relationships calculations and applications essential for understanding fundamental principles in mechanics and their implications in real-world scenarios relevant to the CBSE exam for 2024-25.
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We can use the work done formula to find the angle between the force and the direction of motion:
Work done (W) = Force (F) × Distance (d) × cos(θ),
where θ is the angle between the force and the direction of motion.
1. Given values:
– Work done (W) = 25 J,
– Force (F) = 5 N,
– Distance (d) = 10 m.
2. Substituting the given values into the formula:
25 J = 5 N × 10 m × cos(θ).
3. Simplifying the equation:
25 = 50 × cos(θ).
4. Dividing both sides by 50:
cos(θ) = 25 / 50 = 0.5.
5. Now, finding the angle θ:
θ = cos⁻¹(0.5) = 60°.
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