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two balls of similar size masses m and 2m are moving at speeds u and 2u along a frictionless plane, they collide head on and are reflected, assuming that the coefficient of restitution of this collision is 1, what the speeds are afterwards in u

ball A has mass m and velocity u. ball B has mass 2 m and velocity 2uby conservation of momentum:mu - 4mu = mv + 2mx (1)where v is the velocity of ball A and x is the velocity of ball B after collision.by...

Answered by William A. • Maths tutor

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An ordinary, fair sided dice is rolled 480 times. How many times is the number 3 expected?

An ordinary dice has six sides. We have an equal chance to roll on any of these six sides. This gives us the probability of rolling a 3 (or any other number) as 1/6.Each roll is independent i.e the result...

Answered by Louis P. • Maths tutor

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How do I solve a quadratic equation: x^2-5x+6=0

When solving a quadratic equation, you have two options. Take the general form ax^2+bx+c=0Method 1: Solution by FactorisingWhen the numbers involved look fairly simple, look for a way to factorise the qua...

Answered by Naomi C. • Maths tutor

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Expand and Simplify: (x+2)(x+3)(x−3)

(x+2)(x+3)(x−3)(x²+ 3x + 2x + 6)(x - 3) : Step 1 is to expand the first two brackets. (x²+ 5x + 6)(x - 3) : Step two is to simplify the quadratic. x³-3x²+5x

Answered by Alex H. • Maths tutor

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Let n be an integer greater than 1. Prove that n^2 - 2 - (n-2)^2 is an even number.

To show a number N is even, we must be able to express it in the form N = 2x for some other whole number x. Let's try to manipulate the given expression to see if we can put it in this form. By expanding ...

Answered by Sam L. • Maths tutor

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