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From what height, h, should a rail-cart fall to complete a loop-the-loop of radius r without falling off a the track? Assume the track on which the rail-cart travels is smooth and express h in terms of r.

This question combines the principles of energy conservation and circular motion. The insight is to realise the condition for which the rail-cart will fall off of the track - when there is no contact forc...

Answered by Benjamin R. • Physics tutor

1300 Views

A particle, P, moves along the x-axis. The displacement, x metres, of P is given by 0.5t^2(t^2 - 2t + 1), when is P instantaneously at rest

differenciate and then eqate with v = 0.

Answered by Harry S. • Maths tutor

6365 Views

Which themes/subjects should I evoke in a personal statement paragraph?

Having chosen your subject, you want to use the personal statement as an opportunity to show why this specific courseis a good fit for you(youre writing for five courses, I know, feels like it’s five time...

Answered by • Personal Statements tutor

1763 Views

Why do group 1 metals become more reactive as you descend the group?

The outer electron is further from the nucleus of the atom, therefore feeling less effective nuclear attraction .
As you descend the group 1 metals, more shells of electrons are present in the metal...

Answered by Jacob S. • Chemistry tutor

2390 Views

Where do the lines 2y = 4x + 2 and - 3x + y = 4 intersect?

Rearrange the second equation in the form y = mx + c to get y = 3x + 4. Divide the first equation by 2 to get y = 2x + 1. When the lines intersect, they'll have the same x and y values, hence, set the equ...

Answered by Emma J. • Maths tutor

2545 Views