Question

the centripetal force 'F'acting on a body depend upon its mass'M'velocity' v' and radius of circular path ' R ' find the relation of centripetal force​

Answer 1

Answer:

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Explanation:

F=mv2×r (where k=1)

Answer 2

Question:

The centripetal force 'F' acting on a body depend upon its mass 'M'velocity' v' and radius of circular path ' R ' find the relation of centripetal force.

To find:

The relation of centripetal force.

Answer:

F = mv² × r (Where, K = 1)

Values:

→ Let F=k(m)^x (v)^y (r)^z

→ Here, k is a dimensionless constant of proportionality. Writing the dimensions of RHS and LHS in Eq. (i), we have:

→ [MLT²] = M^x [LT^-1]^y [L]^x = [M^x L^y + z T^-y]

→ Equation the powers of M, L and T of both sides, we have,

x = 1, y = 2 and y + z = 1 or z = 1 - y = -1

→ Putting the values in Eq. (i), we get

→ F = kmv^2 r^-1 = k ^ mv² / r

→ F = mv² / r (where k = 1)