a body of mass 500gm revolves in a horizontal cirlce of radius 1 m at speed of 5 ms^-1 calulate the centripetal force force acting on the body
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༒Answer :-
- 12.5 N
༒Given :-
- Mass of the body is 500g
- Speed of the body is 5 m/s
- Radius is 1 m
༒To find :-
- Centripetal force
༒ Solution:-
- We have formula to find the centripetal force that is
Fç = mv²/r
where,
- m = mass of the body
- v is velocity
- r is radius
__________________
As they given mass in grams Convert into kilograms
1 kg = 1000 g
1 gram = 1/1000 kg
500 grams = 500/1000 kg
= 1/2 kg
= 0.5 kg
So,
500grams = 0.5 kg
Now , substituting the values ,
Fç = mv² /r
= 0.5 (5)² / 1
= 0.5(25)
= 5 /10 × 25
= 1/2 × 25
= 25/2
= 12.5 N
So, centripetal force acting on the body is 12.5 N
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