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Juli2301 [7.4K]
2 years ago
9

A 5kg fish swimming at 1 m/s swallows a 1 kg fish at rest. What is the final momentum of the big fish with the small fish in its

stomach?
Physics
1 answer:
icang [17]2 years ago
7 0

Answer:

p = 4.167kgm/s

Explanation:

Given

Represent the Big fish with M and the small fish with m

M = 5kg

U_M = 1m/s

m = 1kg

U_m = 0m/s

Required

Determine the final momentum of the Big fish

First, we need to determine the final velocity of the big fish.

Because, the big fish swallowed the small one, they both move at the same speed.

Using conversation of momentum, we have:

M*U_M + m * U_m = (M + m)V

Where

V = Final\ Velocity

So, we have:

5 * 1 + 1 * 0 = (5 + 1)V

5 + 0 = 6V

5 = 6V

V = \frac{5}{6}\ m/s

The momentum (p) is calculated as thus:

p = M * V

p = 5 * \frac{5}{6}

p = \frac{25}{6}

p = 4.167kgm/s

<em>Hence, the final momentum is approximately 4.167kgm/s</em>

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