Top answers

If a bullet is shot into a suspended mass and does not pass through why can you not just use conservation of energy?

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 bullet enters.
DD
Answered by Dominic D. • PAT tutor
3544 Views

How are you to find 2007^2 − 2006^2 without a calculator?

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 second g...
DD
Answered by Dominic D. • PAT tutor
9861 Views

How would you integrate ln(x)

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 the 1...
DD
Answered by Dominic D. • Physics tutor
5860 Views

What are some of the key motifs explored in Shakespeare's Macbeth?

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 implores ...
AG
11116 Views

how do you solve these simultaneous equations?

6x + y = 8 (1) 4x - y = 12 (2) Method 1 elimination: -Adding/subtracting the two equations together to eliminate one of the unknowns (1) + (2) 6x + y = 8 + 4x - y = 12 10x = 20 (/10) x= 2 sub 'x=2' into (2) ...
SG
Answered by Shriya G. • Maths tutor
5983 Views