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Two balls with the same kinetic energy have mass of ball a = m and ball b = 2m. What is the ratio of their momentums: a/b?

We know that both balls have the same kinetic energy, so we can write E ka = E kb We also know that kinetic energy is given by the equation E k = 1/2 (mv 2 ) and momentum, p, is p = mv where m is the mass an...
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Answered by Zachary R. • Physics tutor
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Statistics: What is the difference between a Binomial and Poisson distribution?

Binomial: A single trial has only 2 possible outcomes: success or failure A fixed number of trials, n Trials are independent The probability of success remains constant at each trial Mean: E(x) = np Var(x) =...
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Answered by Shivani S. • Maths tutor
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Further Maths: How do you find the inverse of a 2 x 2 matrix?

Consider the Matrix M: M= a b c d First, find the determinant. To do this, we use the formula: det(M) = ad - bc Then plug the information into the formula used to find the inverse: 1/det(m) x c -b -d a
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Economics A-Level: What is the difference between traditional economic theory and the new approach to behavioural eocnomics?

The key assumptions under traditional economic theory are that economic agents are utility-maximisers and rational in their actions. Economic agents are assumed to have compared the costs and benefits of alt...
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Answered by Shivani S. • Economics tutor
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Integrate (cosx)^3

In order to integrate (cosx)^3, there is no given rule (by-parts, 'try' method, chain rule) which we can follow. We would need to split it into (cosx)^2 and cosx. Then use the identity: (sinx)^2 + (cosx)^2 =...
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Answered by Shivani S. • Maths tutor
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