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How much velocity should a small toy rocket, weighing 10kg, acquire in order to escape the Earth's gravitational field? (Neglect any type of friction with the atmosphere)

Here, by equating the formula for the kinetic energy of the rocket to the gravitational potential energy, the student would realize after deriving the speed, that the its mass vanishes, therefore making the ...
AG
2281 Views

Find the general solution to the differential equation: d^2y/dx^2 - 8 dy/dx +16y = 2x

d 2 y/dx 2 - 8 dy/dx +16 y = 2x Auxiliary Equation: m 2 - 8m +16 = 0 (m - 4) 2 = 0 m = 4 (repeated root) Complimentary function : y = (A+Bx)e 4x Particular integral : try y p = ax + b dy p /dx = a d 2 y p /d...
OF
9426 Views

Cystic fibrosis is an autosomal recessive condition. In a population, 0.04% of individuals have the disease. Use the Hardy-Weinberg equation to calculate the number of carriers of cystic fibrosis.

Autosomal recessive means that 2 copies of a allele are required for the phenotype. The phenotype is the set of observable characteristics due to the genotype. In this case the phenotype is whether an indivi...
CN
Answered by Caitlin N. • Biology tutor
7340 Views

If Q = P / (R (4 – t)), calculate the value of Q when P = 36, R = 3 and t = –2

So seeing as you are given the values for P, R and t, the first thing you need to do is substitute the letters for their given numbers into the equation: Q = (36) / ((3) (4 - (-2)) Now expand out the bracket...
RB
Answered by Rosie B. • Maths tutor
4588 Views

Write x/(x-1) - x/(x+1) as a single fraction in its simplest form (Edexcel GCSE 2016)

The key concept to answering this question is to notice that you need a common denominator for both fractions in order to subtract and simplify them. Clearly the two denominators: (x-1) and (x+1) are not the...
FK
Answered by Fritz K. • Maths tutor
10003 Views