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20 raindrops fall on an umbrella. The following day, 10 hail stones fall on the umbrella. All drops of rain and hail are of equal mass m and are traveling at the same velocity v. Both of these (rain and hail) fall on the umbrella in 1 second. What can we say about the Force exerted on the umbrella to hold it up

Respuesta :

Answer:

the force exerted by the umbrella against the drops is the same in both cases  

Explanation:

In this exercise the total mass of the raindrops and the hail are equal, therefore the momentum that these drops create is

raindrops       I₁ = ∫ F dt

hail                 I₂ = ∫ F dt

since the mass and the velocity is the same the force is the weight of the drops

                  F = mg

whereby the impulse is

                 I₁ = mg t

                 I₂ = mg t

we can see that the impulses generated by hail and raindrops are equal, therefore the force exerted by the umbrella against the drops is the same in both cases