A man with mass 60 kg rides a Ferris wheel that has a radius of 20 m. The man is sitting on a scale. If the man's translational (linear) speed during the ride is a constant 5 m/s, what would the scale read at top of the ride

Respuesta :

Answer:

75N

Explanation:

in this problem we are expected to solve for the force, and this force, is the centripetal force exerted on the man/

we know that the expression for the centripetal force is given as

F=mv^2/r

given data

mass, m=60kg

radius, r= 20m

velocity, v= 5m/s

Substituting into the expression we have

F=60*5^2/20

F=60*25/20

F=1500/20

F=75N

The reading at the top of the ride will be 75N

At top of the ride, the scale will read the centripetal force "75 N".

Centripetal Force and mass

According to the question

Mass, m = 60 kg

Radius, r = 20 m

Velocity, v = 5 m/s

We know the relation of Centripetal force,

→ F = [tex]\frac{mv^2}{r}[/tex]

By substituting the values,

     = [tex]\frac{60\times (5)^2}{20}[/tex]

     = [tex]\frac{60\times 25}{20}[/tex]

     = [tex]\frac{1500}{20}[/tex]

     = 75 N

Thus the answer above is correct.

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