Frictionless Roller Skates Fun Calculation!
How far must the student be pushed, starting from rest, so that her final kinetic energy is 362 J?
Given data: A student wearing a frictionless roller skates on a horizontal is pushed by a friend with a constant force of 55N. Answer: 6.58m
Answer:
The student must be pushed at a distance of 6.58m.
Imagine a scenario where a student wearing frictionless roller skates is being pushed by a friend with a constant force of 55N on a horizontal surface. The goal is to determine how far the student must be pushed, starting from rest, so that her final kinetic energy reaches 362 J.
Given the initial conditions and the provided data, we can calculate the required distance using the concept of work done and kinetic energy.
Step by step calculation:1. The formula for work done is: Work = Force * Distance
2. The kinetic energy (KE) is equal to the work done on the roller, thus KE = 362 J
3. The force applied is 55N
4. Substitute the values into the formula: Work = Force * Distance
5. Solve for the distance: 362 = 55 * d
6. Calculate the distance: d = 362 / 55 = 6.58m
Therefore, the student must be pushed at a distance of 6.58 meters to reach a final kinetic energy of 362 J. It's a fun and interesting calculation to understand the application of physics in everyday scenarios!