If a force of 12 N is applied at an angle of 30 degrees to the horizontal while
Practice Questions
Q1
If a force of 12 N is applied at an angle of 30 degrees to the horizontal while moving an object 3 m, what is the work done by the force?
18 J
24 J
30 J
36 J
Questions & Step-by-Step Solutions
If a force of 12 N is applied at an angle of 30 degrees to the horizontal while moving an object 3 m, what is the work done by the force?
Step 1: Identify the force applied, which is 12 N.
Step 2: Identify the distance moved by the object, which is 3 m.
Step 3: Identify the angle at which the force is applied, which is 30 degrees.
Step 4: Use the formula for work done: Work = Force × Distance × cos(Angle).
Step 5: Substitute the values into the formula: Work = 12 N × 3 m × cos(30°).
Step 6: Calculate cos(30°), which is √3/2.
Step 7: Substitute cos(30°) into the formula: Work = 12 N × 3 m × (√3/2).
Step 8: Calculate the multiplication: 12 N × 3 m = 36 N·m.
Step 9: Now multiply 36 N·m by (√3/2) to find the work done.
Step 10: The final calculation gives you the work done, which is 18 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 trigonometric functions, specifically cosine, to resolve forces into components.
