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A body with speed v is projected from the surface of the earth(mass M & radius R). Find the maximum distance from the earth that this body reaches before returning back to earth, as a function of the initial speed v, M, R and the gravitational constant G

This question tests the students' understanding on conservation of energy, gravitational potential and algebraic manipulation.The first step is identifying that the principle to use is the conservation of en...
CV
2083 Views

Solve the inequality (9x+5)/12 > (4x+1)/3

(9x+5)/12 > (4x+1)/3**** Multiply up the denominator terms 3 (9x+5) > 12 (4x+1) * As 3 is a factor of 12, divide both sides by 3 9x+5 > 4 (4x +1) * Multiply out RHS 9x +5 > 16x + 4 * Gather like ...
FM
Answered by Frances M. • Maths tutor
4000 Views

Solve the following equation: (3(x-6) - 81)/4x = 0

The first step is to realise that a trivial solution of x is x = 0, which can be determined from the '4x' denominator. Now zooming in on the numerator and expanding gives us '3x^2 - 18 - 81'. Looking at the ...
HP
Answered by Harry P. • Maths tutor
3572 Views

What is the difference between 得 and 地 when describing a verb?

得 is used to describe how you do the verb generally, whilst 地 is used to describe how the verb is being done at that moment.EG.I am good at swimming uses 得 since it is a general statement.He's swimming so fa...
ZH
Answered by Zakary H. • Mandarin tutor
2597 Views

When should the animate accusative case be used in Russian?

When declining an object to a verb which usually takes the accusative but the object is alive (eg. human/animal). If this object is feminine, the animate accusative is simply the accusative.
ZH
Answered by Zakary H. • Russian tutor
1579 Views