Question

Bicyclist comes to a skidding stop in 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

A bicyclist comes to a skidding stop in 10 m. During this process, the force on the bicycle due to the road is 200 and is directly opposed to the motion. The work done by the cycle on the road is

A. Zero
B. +2000J
C. −200J
D. −20,000J

Answer 1

The work done by a bicycle during a skidding stop is calculated using the force applied, displacement, and the angle between them, which results in a negative value of -2000 J since the force is opposite to the motion.

Step-by-step explanation:

The work done by the bicycle during a skidding stop can be calculated using the concept of work which is given by the equation W = F × d × cos(θ), where W is work, F is force, d is displacement, and θ is the angle between the force vector and the displacement vector. Since the force of 200 N exerted by the road is opposite to the motion of the bicycle, the angle θ would be 180°. Considering that cos(180°) = -1, the work done by the bicycle on the road would be negative.

Thus, the work done is W = 200 N × 10 m × cos(180°) = -2000 J. This is because work done against the direction of motion is considered negative. This concept is critical in understanding the transfer of energy during movements where forces oppose the motion, such as in the case of friction and air resistance affecting vehicles like motorcycles and bicycles.