11 grade physics others

A bicyclist comes to a skidding stop at 10 m. During this process, the force on the bicycle due to the road is 200 N and is directly opposed to the motion. The work done by the cycle on the road is:
A. + 2000 J
B. - 200 J
C. Zero
D. - 2000 J

Aniket Singh

11 Months agoGrade

1 Answer

Askiitians Tutor Team

Approved Tutor Answer11 Months ago

To determine the work done by the bicycle on the road, we need to consider the relationship between force, distance, and work. Work is calculated using the formula:

Work Formula

Work (W) is defined as:

W = F × d × cos(θ)

Where:

W = work done
F = force applied
d = distance over which the force is applied
θ = angle between the force and the direction of motion

Applying the Values

In this scenario:

The force (F) is 200 N.
The distance (d) is 10 m.
The angle (θ) is 180 degrees since the force is opposite to the motion.

Calculating Work Done

Since cos(180°) = -1, we can substitute the values into the formula:

W = 200 N × 10 m × cos(180°)

W = 200 N × 10 m × (-1)

W = -2000 J

Final Answer

The work done by the bicycle on the road is -2000 J. Therefore, the correct option is D. -2000 J.