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A railway car of mass m1 travelling at a velocity of v1 collides with a second car of mass m2 travelling at v2 and the two join together. What is their final velocity?

Momentum is conserved in any collision, and for a single body is given by p = mv. The momentum before is m1v1+m2v2, and the momentum after is (m1 + m2)u where u is the final velocity, so the ...

Answered by Physics tutor
1706 Views

How do you rearrange x = (2y+1)/(3y+4) to get y in terms of x?

We first multiply both sides of the equation by (3y+4) to get x(3y+4)=2y+1. We then expand the left hand side to get 3xy+4x=2y+1. By rearranging the equation we get 3xy-2y=1-4x. We then factorise the left...

ER
Answered by Ewan R. Maths tutor
3811 Views

Factorise x^2 - 8x + 12

First we need to draw our two brackets where the terms will go, we set them out like so ( )( ). Now looking at the coefficient of the x squared term, we se that it is one, therefore, it is formed by a mul...

LS
Answered by Luke S. Maths tutor
6023 Views

For which values of k does the quadratic equation 2x^2+kx+3=0 only have one unique solution?

A quadratic equation ax2 +bx+c=0 will have only one unique solution if and only if b2-4ac=0. If we apply this to the equation in the question, we get that k2-24=0. If we s...

ER
Answered by Ewan R. Maths tutor
3279 Views

How should i answer an unseen poetry question in an exam? (AQA)

Firstly, it is important to remember the five areas you will be marked on. These are: AO1: articulate informed, personal and creative responses to literary texts, using associated concepts and terminology...

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Answered by Corrine C. English tutor
4763 Views

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