Batman Kinetic energy problem

In summary: Vf = 105 kg x 0 m/s + 530 kg x VfVf = 15 m/sIn summary, the velocity of the boat after Batman lands in it is 15 m/s. This is found by applying the conservation of momentum, where the mass of Batman and the criminal (105 kg + 530 kg) is multiplied by the velocity before (15 m/s) and set equal to the mass of the boat (530 kg) multiplied by the final velocity (Vf). The final velocity of the boat is then solved to be 15 m/s.
  • #1
wallace13
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Batman (mass = 105 kg) jumps straight down from a bridge into a boat (mass = 530 kg) in which a criminal is fleeing. The velocity of the boat is initially +15 m/s. What is the velocity of the boat after Batman lands in it?
.5mv squared + mghf = .5mVi squared + Mghi.5 x 635 x Vf squared = .5 x 530 x 15 squared

= 13.7m/s
 
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  • #2
I mean that's quite a funny and not specific problem. Does batman jump vertically from the bridge? do you mean this by "straight down"? If yes then ok. What is the mass of the criminal? Or this the given "boat" the sum of the mass of the boat itself and the criminal?
You should be a bit more specific... :D :D
Now is the water considered "solid", because otherwise I could well imagine that someone with fifth the mass of a boat jump on it, and it collapsed or submerged into the water, which is another case...:D this should be specified too.. :D
(I am not "bugging" with these, just in the future it is better if you specify these, because then it will be much more comprehendible :D)

If we have all these. Then we can go onto the solution. Now why would you say that energy is conserved in this case? The "collision" between Batman and the boat is totaly non-elastic (If we consider the water to be "solid"), hence energy is not conserved, so your solution is wrong.
But if we consider batman to jump verticaly then the horizontal momentum is conserved, since there is no horizontal force.

So use the conservation of momentum in the horizontal direction.
 
  • #3
I copied the problem straight out of the book lol our book just sucks
 
  • #4
wallace13 said:
Batman (mass = 105 kg) jumps straight down from a bridge into a boat (mass = 530 kg) in which a criminal is fleeing. The velocity of the boat is initially +15 m/s. What is the velocity of the boat after Batman lands in it?

.5mv squared + mghf = .5mVi squared + Mghi

.5 x 635 x Vf squared = .5 x 530 x 15 squared

= 13.7m/s

This is not a kinetic energy problem. The potential energy from his jump does not affect the combined horizontal motion.

What's asked is for you to apply the conservation of momentum.

Mass X Velocity before = Mass X Velocity after
 

1. How does Batman's suit allow him to absorb and use kinetic energy?

The suit is made of a special material called "Memory Cloth" which can absorb and store kinetic energy when impacted. This energy is then converted into electricity and can be used to power various gadgets and weapons.

2. Can Batman's suit withstand unlimited amounts of kinetic energy?

No, even though the suit is designed to absorb and use kinetic energy, there is a limit to how much it can handle. Too much kinetic energy can cause damage to the suit and potentially harm Batman.

3. How does the kinetic energy problem impact Batman's fighting abilities?

The kinetic energy problem does not directly impact Batman's fighting abilities, as his suit is designed to absorb and use the energy. However, if the suit becomes damaged or overloaded with energy, it could hinder his movement and agility.

4. Can Batman's suit be repaired if it becomes damaged from excess kinetic energy?

Yes, the suit can be repaired by Batman's team of engineers and scientists. They have developed specialized techniques to repair the suit and its memory cloth material in case of damage.

5. Is kinetic energy the only type of energy that Batman's suit can absorb?

No, the suit is also capable of absorbing other forms of energy, such as heat and electricity. This makes it a versatile tool for Batman in various situations and environments.

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