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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
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Compare the following logarithms in base 1/2 without a calculator: log(8) and log(512)

Compare through subtraction : log 0.5 (8)- log 0.5 (512) = xUsing logarithm rule in addition/subtraction: log a (b)+log a (c) = log a (b*c) ; log a (b)-log a (c) = log a (b/c) where a,b and c are constants (...
GA
Answered by Gael A. • Maths tutor
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y=7-2x^5. What's dy/dx?Find an equation for the tangent to the curve where x=1. Is itan increasing or decreasing function when x=-2?

dy/dx=-10x^4When x-1, gradient =-10 Tangent is then: y+10x=15When x=-2, dy/dx=-160 so a decreasing function
KL
Answered by Khai L. • Maths tutor
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What does a 95% confidence interval reflect?

It reflects the set of values for which 95% of a normally distributed sample lies, which tells us with 95% confidence that the mean value lies within this interval. 95% confidence means the likelihood that o...
CP
Answered by Caitlin P. • Maths tutor
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How to sketch a cubic function

Determine intersections with the x and y axis, intersections at x axis occur when y=0 and intersections with the y axis occur when x=0.2) Differentiate function to find stationary points (by setting the diff...
AP
Answered by Anya P. • Maths tutor
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