A force of 25 N is applied at an angle of 60 degrees to the horizontal while mov
Practice Questions
Q1
A force of 25 N is applied at an angle of 60 degrees to the horizontal while moving an object 3 m. What is the work done?
37.5 J
50 J
75 J
100 J
Questions & Step-by-Step Solutions
A force of 25 N is applied at an angle of 60 degrees to the horizontal while moving an object 3 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 3 m.
Step 3: Identify the angle at which the force is applied, which is 60 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 × 3 m × cos(60°).
Step 6: Calculate cos(60°), which is 0.5.
Step 7: Multiply the values: Work = 25 N × 3 m × 0.5.
Step 8: Calculate the result: Work = 25 × 3 × 0.5 = 37.5 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.
