a backpack has a mass of 8 kg. it is lifted and given 54.9 J of gravitational potential energy. how high is is lifted? accelerat
1 answer:
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Answer:
The speed of the big fish after swallowing the small fish is 0.38 m/s.
Explanation:
Consider west to east direction as positive and the opposite direction as negative.
Given:
Mass of big fish (m₁) = 12.0 kg
Initial velocity of big fish (u₁) = 75 cm/s = 0.75 m/s
Mass of small fish (m₂) = 1 kg
Initial velocity of small fish (u₂) = -4 m/s (Direction is opposite to u₁)
After swallowing the small fish, both the fishes move together with same velocity. Let the velocity be 'v'.
So, as there are no effects of drag or any other forces, the given scenario can be considered as a case of inelastic collision where the objects move together with same velocity after collision.
The momentum is conserved in inelastic collision. Therefore,
Initial momentum of the fishes = Final momentum of the fishes
Now, plug in the given values and solve for 'v'. This gives,
Therefore, the speed of the big fish after swallowing the small fish is 0.38 m/s
Answer:
A. The upward pressure gradient force is balanced by gravity.
Explanation:
A. is correct because the pressure difference is actually generated by gravity. As in the following formula for the pressure at different points:
where are the pressure at 2 points, ρ is the density of the fluid, g is the gravitational constant, and h is the height difference.
B is incorrect because friction in air is too small to make an effect.
C is incorrect because the Coriolis force is horizontal, not vertical.
D is incorrect because a difference of 500 hPa = 50000 Pa, this is half of the atmospheric pressure.
E is incorrect because temperature cannot generate force.