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Energy will be lost due to the plastic deformation of the mass as the bullet enters the mass. However momentum will always be conserved, so you can use this to find the speed of the mass when the bulle...

Like with many questions in the PAT test once you know what to do it is quite easy! To solve you can use a difference of two squares i.e. (2007-2006)(2007+2006). As the first bracket gives 1 and the se...

To integrate ln(x) you will need to use intergration by parts. As you can differentiate ln(x) (it is equal to 1/x) and there is an implied 1xln(x). As a result you can differentiate ln(x) and integrate...

Throughout Shakespeare's tragedy Macbeth, he explores various motifs in order to portray his underlying message to his audience, both Elizabethan/Jacobean and contemporary alike. The motifs that he imp...

6x + y = 8 (1)       4x - y = 12 (2)

Method 1 elimination:

-Adding/subtracting the two equations together to eliminate one of ...