Question

a body of mass 0.7 kg performs uniform circular motion with a speed of 17 metre per second if the radius of circle is 14 metre find the centripetal force acting on the body​

Answer 1

Answer:

F = 1.032N

Explanation:

F = mv²÷r

F = 0.7×17²÷14²

∴F = 1.032N

Answer 2

Given :-

• Mass of a body (m) = 0.7 kg
• Speed (v) = 17 m/s
• Radius (r) = 14 m

To Find :-

• The centripetal force acting on the body.

Solution :-

As we know that,

$\red \bigstar \: \sf F_c = \dfrac{mv {}^{2} }{r}$

Here,

• $\sf{F_c }$ = Centripetal force
• m = Mass
• v = Speed
• r = Radius

Units,

• $\sf{F_c }$ = N
• m = kg
• v = m/s
• r = m

[ Put the values ]

$\leadsto \sf \: F_c = \dfrac{0.7 \times (17) {}^{2} }{14}$

$\leadsto \sf \: F_c = \dfrac{0.7 \times 289}{14}$

$\leadsto \sf \: F_c = \dfrac{202.3}{14}$

$\leadsto \sf \: F_c =14.45 \: N \: \: \green \bigstar$

Therefore,

The centripetal force acting on the body is 14.45 N.