A force of 25 N is applied at an angle of 30 degrees to the horizontal while mov

A force of 25 N is applied at an angle of 30 degrees to the horizontal while moving an object 10 m. What is the work done?

A force of 25 N is applied at an angle of 30 degrees to the horizontal while moving an object 10 m. What is the work done?

Step 1: Identify the force applied, which is 25 N.
Step 2: Identify the distance the object is moved, which is 10 m.
Step 3: Identify the angle of the force with respect to the horizontal, which is 30 degrees.
Step 4: Use the formula for work done: Work = Force × Distance × cos(θ).
Step 5: Substitute the values into the formula: Work = 25 N × 10 m × cos(30°).
Step 6: Calculate cos(30°), which is approximately 0.866.
Step 7: Multiply the values: Work = 25 N × 10 m × 0.866.
Step 8: Calculate the final result: Work = 216.5 J.

Work Done – Work is calculated as the product of the force applied, the distance moved in the direction of the force, and the cosine of the angle between the force and the direction of motion.
Trigonometry in Physics – Understanding how to apply the cosine function to find the effective component of the force acting in the direction of motion.