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spayn [35]
2 years ago
5

The whale shark the largest of fish and can have the mass of three adult elephants. Suppose that a crane is whale shark into a t

ank for delivery to an aquariumThe crane must exert an unbalanced force of 2.5 * 10 ^ 4 to lift the shark from rest. If the shark's acceleration equals 1.25 m/s ^ 2 , what is the shark's mass?
Physics
1 answer:
Alona [7]2 years ago
4 0

Answer:

Mass, m = 20000 kg

Explanation:

The force acting on the shark, F=2.5\times 10^4\ N

Acceleration of the shark, a = 1.25 m/s²

We need to find the mass of the Shark. The force acting on an object is given by :

F = ma

m is the shark's mass

So,

m=\dfrac{F}{a}\\\\m=\dfrac{2.5\times 10^4}{1.25}\\\\m=20000\ kg

So, the mass of the Shark is 20000 kg.

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Answer:

9.22 s

Explanation:

One-quarter of a turn away is 1/4 of 2π, or π/2 which is approximately 1.57 rad

Let t (seconds) be the time it takes for the child to catch up with the horse. We would have the following equation of motion for the child and the horse:

For the child: s_c = \omega_ct = 0.233t

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For the child to catch up with the horse, they must cover the same angular distance within the same time t:

s_c = s_h

0.233t = 1.57 + 0.0068t^2

0.0068t^2 - 0.233t + 1.57 = 0

t= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

t= \frac{0.233\pm \sqrt{(-0.233)^2 - 4*(0.0068)*(1.57)}}{2*(0.0068)}

t= \frac{0.233\pm0.11}{0.0136}

t = 25.05 or t = 9.22

Since we are looking for the shortest time we will pick t = 9.22 s

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