Find the velocity of the particle moving in a circular path having a centripetal force of 10 N whose mass is 100 g and radius of circular path is 50 cm

Question

Find the velocity of the particle moving in a circular path having a centripetal force of 10 N whose mass is 100 g and radius of circular path is 50 cm (A)  √500 m/s (B)  √50 m/s (C)  √30 m/s (D)  √60 m/s

Tardigrade Admin · Accepted Answer

Centripetal force for a body moving in circular path is given by Fc=(mv2/r) v=[ (Fcr/m) ]1/2 Putting F=10N,m=100g=10-1kg, r=50 text cm=5× 10-1m v=√[ (10× 10-1× 5/10-1) ] v=√50 m/s

Q. Find the velocity of the particle moving in a circular path having a centripetal force of 10 N whose mass is 100 g and radius of circular path is 50 cm

$500$ m/s

$50$ m/s

$30$ m/s

$60$ m/s

Centripetal force for a body moving in circular path is given by
$F_{c} = \frac{m v ^{2}}{r}$
$v = [\frac{F _{c} r}{m}]^{1/2}$
Putting $F = 10 N, m = 100 g = 10^{- 1} k g,$
$r = 50 c m = 5 \times 10^{- 1} m$
$v = [\frac{10 \times 10 ^{- 1} \times 5}{10 ^{- 1}}]$
$v = 50 m / s$

Q. Find the velocity of the particle moving in a circular path having a centripetal force of 10 N whose mass is 100 g and radius of circular path is 50 cm

500​ m/s

50​ m/s

30​ m/s

60​ m/s

Centripetal force for a body moving in circular path is given by Fc​=rmv2​ v=[mFc​r​]1/2 Putting F=10N,m=100g=10−1kg, r=50cm=5×10−1m v=[10−110×10−1×5​]​ v=50​m/s

$500$ m/s

$50$ m/s

$30$ m/s

$60$ m/s

Centripetal force for a body moving in circular path is given by
$F_{c} = \frac{m v ^{2}}{r}$
$v = [\frac{F _{c} r}{m}]^{1/2}$
Putting $F = 10 N, m = 100 g = 10^{- 1} k g,$
$r = 50 c m = 5 \times 10^{- 1} m$
$v = [\frac{10 \times 10 ^{- 1} \times 5}{10 ^{- 1}}]$
$v = 50 m / s$