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A particle of mass m is placed on an slope with an incline 30 degrees. Once released it accelerates down the line of greatest slope at 2 m s^-2. What is the coefficient of friction between the particle and the slope?

Resolve forces perpendicular to the slope. No acceleration in this direction hence resultant force in this direction must equal zero:R = mg * cos(30) Apply Newtons second law in the direction parallel to the...
DH
Answered by Daniel H. • Maths tutor
4074 Views

How do I expand and simplify a double bracket equation?

For example: 3(2a + 5) + 5(a - 2) The key is to approach this question in two steps, with the first step being to expand the brackets before then simplifying where possible. A good method for expanding the b...
SB
Answered by Sonu B. • Maths tutor
8252 Views

Find the roots for the quadratic equation x^2 +2x-3 = 0

I would show the student two methods of solving this answer.The first method by:Finding two numbers that multiply to make -3 and simultaneously add to make +2.The two numbers that satisfy this is +3 and -1. ...
AN
Answered by Adibah N. • Maths tutor
10661 Views

Triangle ABC has perimeter 20 cm. AB = 7 cm. BC = 4 cm. By calculation, deduce whether triangle ABC is a right-angled triangle. 4 marks.

We know that the perimeter of the triangle is 20cm and we also know the value of two of the sides of the triangle, AB=7cm and BC=4cm. We can work out the length of the third side (AC) by subtracting the know...
CM
Answered by Charlotte M. • Maths tutor
22602 Views

If x:y = 7:4 and x+y = 88 , work out the value of x–y.

We know that x:y is 7:4, and therefore x is seven-elevenths of the total value of x and y. Therefore we can express x = 7/11 (x+y). Since we also know that the total of x+y is 88, we can substitute this into...
RS
Answered by Reece S. • Maths tutor
12655 Views