Answer this.

Object 1, M=1, V=4, Ke=8, P=4
Object 2, M=2, V=2, Ke=4, P=4
Object 3, M=4, V=1, Ke=2, P=4
Object 4, M=1, V=2, Ke=2, P=2
Object 5, M=0.125, V=4, Ke=2, P=0.5

Why does it take more energy to give a mass the same momentum as a larger mass?

Object1, M=1
V=1, P=1, Ke=0.5
V=2, P=2, Ke=2
V=3, P=3, Ke=4.5

When an object is accelerating without resistance, why does it take more and more energy to accelerate it the same amount?

>>2
Yeh, sorry that's pretty obvious lol..

>>3
>>4
Why is the difference so substantial? 3 ms^-1 is a negligible fraction of the speed of light. Yet the energy needed to accelerate the object from 2 m/s to 3 m/s is 5 times higher than the energy needed to accelerate the object from standing to 1 m/s.

We have 2 observers, one travelling at 1m/s and the other standing still. One observer would note that object 1 expended a total of 4.5 joules to increase it's velocity by 3 m/s, whilst the other would note that object 1 expended 2.5 joules to increase it's velocity by 3m/s. Which one is right?