A particle moves in a circular path of radius r with a constant speed v. What is the centripetal force acting on the particle?
Practice Questions
1 question
Q1
A particle moves in a circular path of radius r with a constant speed v. What is the centripetal force acting on the particle?
mv^2/r
mvr
mr^2
mv
Centripetal force F = mv^2/r.
Questions & Step-by-step Solutions
1 item
Q
Q: A particle moves in a circular path of radius r with a constant speed v. What is the centripetal force acting on the particle?
Solution: Centripetal force F = mv^2/r.
Steps: 4
Step 1: Understand that a particle moving in a circular path experiences a force that keeps it moving in that circle. This force is called centripetal force.
Step 2: Identify the variables involved: 'm' is the mass of the particle, 'v' is the constant speed of the particle, and 'r' is the radius of the circular path.
Step 3: Recall the formula for centripetal force, which is F = mv^2/r.
Step 4: Plug in the values of mass (m), speed (v), and radius (r) into the formula to calculate the centripetal force.
