Question: A particle moves in a circular path of radius r with a constant speed v. What is the centripetal force acting on the particle?
Options:
mv^2/r
mvr
mr^2
mv
Correct Answer: mv^2/r
Solution:
Centripetal force F = mv^2/r.
A particle moves in a circular path of radius r with a constant speed v. What is
Practice Questions
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
Questions & Step-by-Step Solutions
A particle moves in a circular path of radius r with a constant speed v. What is the centripetal force acting on the particle?
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.
Centripetal Force – The force required to keep an object moving in a circular path, directed towards the center of the circle.
Uniform Circular Motion – Motion of an object traveling at a constant speed along a circular path.
Newton's Second Law – The relationship between force, mass, and acceleration, which is relevant in deriving the formula for centripetal force.
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