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Two particles, A and B, are moving directly towards each other on a straight line with speeds of 6 m/s and 8 m/s respectively. The mass of A is 3 kg, and the mass of B is 2 kg. They collide to form a single particle of speed "v" m/s. Find v.

The student should apply their knowledge of conservation of momentum. Also, I would always encourage the student to draw a diagram for all mechanics questions as it helps visualise the problem.total chang...

Answered by Kieran H. • Maths tutor

3891 Views

Show that the line with equation ax + by + c = 0 has gradient -a/b and cuts the y axis at -c/b?

This question involves inspecting the answers that have been provided to us. We have been given a constant gradient, and a point at which the line given by the equation cuts the y axis. This, therefore, m...

Answered by Dominic E. • Maths tutor

7401 Views

Factorise 6x^2 + 7x - 3=0

In order to solve the equation, we need to find a way to break the '7x' term in the middle that allows factorisation. We also need to consider the fact that the last term '-3x' has a minus sign. This broa...

Answered by Silvia M. • Maths tutor

7102 Views

Solve the differential equation (1 + x^2)dy/dx = x tan(y)

^{Firstly rearrange the equation so that only dy/dx is on the left hand side}^{dy/dx = (x/(1+x^2)) tan(y)}^{Now separate the variables such that the x terms are on one side with the dx,...}

Answered by Christian G. • Maths tutor

5367 Views

Find the stationary point of the curve y=3x^2-2x+2 and state the nature of this stationary point.

The stationary point is a minimum point. I will run through the working out for the question using the whiteboard in the session as it is difficult to demonstrate without relevant formatting.

Answered by William L. • Maths tutor

2967 Views