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k0ka [10]
3 years ago
6

Alice and Tom dive from an overhang into the lake below. Tom simply drops straight down from the edge, but Alice takes a running

start and jumps with an initial horizontal velocity of 25 m/s. Neither person experiences any significant air resistance. Just as they reach the lake below Question 15 options:
A. the speed of Alice is larger than that of Tom.
B. the splashdown speed of Alice is larger than that of Tom.
C. the speed of Tom will always be 9.8 m/s larger than that of Alice.
D. the speed of Alice will always be 25 m/s larger than that of Tom. e) they will both have the same speed.
Physics
1 answer:
alina1380 [7]3 years ago
4 0

Answer:

D, ---- Not sure

Explanation:

No air resistance

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Explanation:

Elastic collision means kinetic energy and momentum are conserved.

Let the mass of object be m and M.

Initial velocity object 1 be u₁,  object 2 be u₂

Final velocity object 1 be v₁,  object 2 be v₂

Initial momentum = m x u₁ + M x u₂ = 3 x 8 + M x 0 = 24 kgm/s

Final momentum = m x v₁ + M x v₂ = 3 x v₁ + M x 6 = 3v₁ + 6M

Initial kinetic energy = 0.5 m x u₁² + 0.5 M x u₂² = 0.5 x 3 x 8² + 0.5 x M x 0² = 96 J

Final kinetic energy = 0.5 m x v₁² + 0.5 M x v₂² = 0.5 x 3 x v₁² + 0.5 x M x 6² = 1.5 v₁² + 18 M

We have

            Initial momentum = Final momentum

            24 = 3v₁ + 6M

            v₁ + 2M = 8

             v₁ = 8 - 2M

            Initial kinetic energy = Final kinetic energy

            96 = 1.5 v₁² + 18 M

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Substituting  v₁ = 8 - 2M

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            4M² = 20 M

               M = 5 kg

Option 2 is the correct answer.  

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