If linear velocity and radius are both made half of the body moving around the circle the centripetal force becomes?
Answers
Answer:
Correct is (b)
Explanation:
Because force become half
Answer:
A correct answer is option (B) Fc/2. If linear velocity and radius are both made half of the body moving around the circle the centripetal force becomes Fc/2.
Explanation:
We know that the centripetal force is a force that causes a body to follow a curved path.
It always goes in the direction of the immediate centre of curvature of the path and in a direction opposite to the body's velocity.
The centripetal force on a point mass m in a linear circular motion is given by F= mv²/R, where R is the radius and v is the mass's linear velocity along the circle.
It has been given that the linear velocity, v = v/2 and radius, R = R/2
When we substitute for a radius of half R/2 and a velocity of half v/2 in the equation of the centripetal force, we get,
F = m(v/2)²/R/2.
F = (mv²/4)/R/2
F = 2mv²/4R
F = 1/2(mv²/R)
We know, Centripetal force, Fc = mv²/R
Therefore, F = Fc/2
Thus, If linear velocity and radius are both made half of the body moving around the circle the centripetal force becomes Fc/2
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