What is the centripetal force needed to keep a 3.0 kg mass moving in a circle of radius 0.50 m at a speed of 8.0 m/s

Centripetal acceleration = v²/r = 8²/0.50 = 64/0.50 = 32

Centripetal force = mass * acceleration = 3 * 32 = 96 Newton

So, your answer is 96 Newton

Answer : The centripetal force needed is, 384 N

Solution :

Formula used for centripetal force is,

where,

= centripetal force

m = mass of an object = 3 Kg

r = radius of path

v = velocity or speed of an object

Now put all the given values in the above formula, we get the centripetal force.

Therefore, the centripetal force needed is, 384 N

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min