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Ignoring air resistance, use an energy argument to find the speed of a ball when it hits the ground if it is dropped from 50m, where m is the mass of the ball.

Original energy: GPE=50 9.81 m KE=0 Final energy: GPE=0 KE=(1/2)mv 2 Therefore (1/2)mv 2 = 50 m 9.81 . The m cancels and simplifying the equation we are left with v 2 = 50 2 9.81, therefore v = 31 ms -1
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Answered by Zach T. • Physics tutor
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Complete the series and explain your answer: 2,4,8,...,...

2,4,8,16,32 The series is multiplying by two every time.
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Answered by Zach T. • Maths tutor
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Explain the role of the diaphragm in breathing out

The external intercostal muscles contract which moves the diapraghm upwards. This reduces the volume of the thorax and therefore with less space, the pressure in the lungs goes up. The pressure in the lungs ...
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Answered by Kai A. • Biology tutor
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Use BIDMAS to find what 2+5+7x3 equals

Going through the checklist: B= Brackets (there are no brackets) I=Indices (there are no powers) D= Division (there is no division) M= Multiplication. we have a times sign in this problem between the 3 and t...
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Answered by Zach T. • Maths tutor
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If f(x)= ln(x^2)-4, give f^-1(x)

For this question we would start by making f(x)=y. As we know the laws of logs, we can say that ln(x 2 )=2ln(x), therefore our equation can now be written as y= 2ln(x) - 4 . From this point, we want to make ...
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Answered by Zach T. • Physics tutor
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