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A car of mass m is travelling at a speed v around a circular track of radius r banked at an angle θ. (a) What is the centripetal acceleration of the car? (b) What is the normal force acting on the car? (c) If θ = 45°, r = 1 km what is the maximum speed?

(a) The formula for the centripetal acceleration of an object undergoing circular motion at a radius r and speed v is a = v^2/r so as F = ma the centripetal force is F = mv^2/r. 2 marks By drawing a diagram,...
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Answered by Jack M. • Physics tutor
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Solve the equation: x^2+x-12=0

x=-4, x=3
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Answered by Jordan H. • Maths tutor
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Integrate the function f(x) where f(x)= x^2 +sin(x) + sin^2(x)

Answer: Integral= x 3 /3+ x/2 - cos(x) -1/4 sin(2x) + C Using the general rule that integrating x n results in x (n+1) /(n+1), x 2 integrates to x 3 /3.sin(x) is integrated to -cos(x)To integrate sin 2 (x), ...
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Answered by Charlie H. • Maths tutor
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What is ionisation energy?

The easiest way to understand ionisation energy is to look at the equation for ionisation.For example, the ionisation of magnesium is shown by the following:Mg---> Mg + + e - The ionisation energy is then...
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Answered by Hazel R. • Chemistry tutor
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What is the purpose of loose monetary policy?

Loose monetary policy is where the Bank of England make the decision to decrease interest rates, therefore lowering the cost of borrowing money and lowering the reward of saving money, meaning more spending ...
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