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A particle of mass 0.8 kg moving at 4 m/s rebounds of a wall with coefficient of restitution 0.3. How much Kinetic energy is lost?

Coefficient of Restitution (CoR): Speed of Approach x CoR = Speed of Seperation 4 x 0.3 = 1.2 ms^-1 Kinetic Energy (KE) Lost: KE lost = Initial KE - Final KE Initial KE = 1/2mv² ...

Answered by George M. • Maths tutor

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Solve the pair of simultaneous equations; (1) y + 4x + 1 = 0, (2) y^2 + 5x^2 + 2x = 0 .

Rearrage equation (1) to make y the subject of the formula. This gives y = -4x -1 .

Substitute this value of y into equation (2). This gives (-4x -1)^2 +5x^2 +2x = 0 .

Expanding out the bra...

Answered by Melanie G. • Maths tutor

6918 Views

Solve the simultaneous equations: y = x - 2 and y^2 + x^2 = 10

y = x - 2

y²+ x² = 10

Subsitutute the top equation into the second equation:

(x-2)² + x² = 10

Exp...

Answered by Iman R. • Maths tutor

15707 Views

How do I differentiate (2x+1) / (3x^2 - 5)?

This is a typical example where the quotient rule is required to answer the question. This is clear because the function is made up of two other functions of x, one is the numerator and the other is the d...

Answered by Sophie T. • Maths tutor

4427 Views