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Two railway trucks of masses m and 3m move towards each other in opposite directions with speeds 2v and v respectively. These trucks collide and stick together. What is the speed of the trucks after the collision?

In order to solve this question we need to use the principle of conservation of momentum which states: The momentum in a closed system remains constant before and after a collision or explosion. I.E. momentu...
SW
Answered by Sarah W. • Physics tutor
36665 Views

How do you solve 3sin2AtanA=2 for 0<A<180?

The first step in solving any trigonometric equation is to convert everything into sine and cosine functions. So in this case we need to start by converting the tanA. We can use the identity: tanA=sinA/cosA ...
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Answered by Sarah W. • Maths tutor
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Given that f(x)=2sinhx+3coshx, solve the equation f(x)=5 giving your answers exactly.

Firstly set 2sinhx+3coshx=5Now using the exponential definitions of sinhx and coshx rewrite the equation to give:2(1/2(e^x-e^-x))+3(1/2(e^x+e^-x))=5Simplify the equation by expanding out the brackets, multip...
ES
8499 Views

How do you calculate percentage change?

Percentage change is often required to utilise figures provided in case studies and present them as evidence, or to use in other calculations. For example: If you were asked to calcuate the percentage change...
KM
4505 Views

Explain the formation of a meander in a river.

This process starts with a slight bend in the river. This causes there to be a faster flow of water on the outside bend and slower water on the inside bend. The faster flow of water on the outside bend resul...
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Answered by Leo T. • Geography tutor
29102 Views