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ki77a [65]
3 years ago
10

What factors might limit the maximum body size to which land vertebrates can grow?

Physics
1 answer:
Varvara68 [4.7K]3 years ago
4 0

Gravity and maybe the fact that the atmospheric pressure above ground is lower than underwater

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An object, with mass 83 kg and speed 15 m/s relative to an observer, explodes into two pieces, one 4 times as massive as the oth
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Answer:

The amount of Kinetic energy added to the system is 2334.3J

Solution:

As per the question:

Mass of object, m = 83 kg

Relative velocity of the object, v_{mb} = v_{m} - v_{o} = 15 m/s

After the explosion,

mass of the fragment is M and the other fragment, M' = 4M

Velocity of the lighter fragment after collision, v = 0 m/s

Now,

Mass of heavier fragment, M' = \frac{4}{5}m

Mass of lighter fragment, M' = \frac{1}{5}m

Let the velocity of the heavier fragment be v'.

Therefore by the law of conservation of momentum, we have:

Momentum of the object before collision = Momentum of the object after collision

mv_{mo} = Mv + M'v'

mv_{mo} = M.0 + \frac{4}{5}mv'

v' = \frac{5}{4}\times 15 = 18.75 m/s

Now, the change in Kinetic Energy gives the amount of Kinetic energy added to the system:

\Delta KE = KE_{final} - KE_{initial}

\Delta KE = \frac{1}{2}Mv'^{2} - \frac{1}{2}mv_{mo}^{2}

Since, the lighter particle stops, it won't have any kinetic energy.

\Delta KE = \frac{1}{2}\times \frac{4}{5}times 83\times {18.75}^{2} - \frac{1}{2}\times 83\times 15^{2}

\Delta KE = 11671.8 - 9337.5 = 2334.3 J

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