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A ball is released on a smooth ramp at a distance of 5 metres from the ground. Calculate its speed when it reaches the bottom of the ramp.

The ramp is smooth, so the effects of friction can be ignored. Therefore, the potential energy lost by the ball is equivalent to the kinetic energy gained by the ball. The formula for kinetic energy is 1/...

Answered by Cameron B. • Maths tutor

4158 Views

Shape S is one quarter of a solid sphere. The volume of S is 576(pi)cm(^3). Find the surface area of S correct to 3 significant figures

Radius is the only property of a sphere that is used to define surface areas and volumes. We need to find what the radius is from the information that the question has given us.
S i...

Answered by Joe W. • Maths tutor

11372 Views

Factorise X^2 + 13x + 42; from this, please give the answer to X^2 + 13x + 42 = 0

This question aims to look at quadratic equations. We factorise Quadratic equations into two sets of bracketsFirst, we are dealing with X². X² is formed from X multipled by X, so eac...

Answered by Khalid A. • Maths tutor

3892 Views

R=1000e^-ct , it takes 5730 years for half of the substance to decay a. find the number of atoms at the start of the decay. b. calculate the number of atoms left when t=22920. c. sketch the function.

a.1000 b. R=62.5 c. Sketch

Answered by Prasad U. • Maths tutor

4170 Views

How do you integrate ln(x)?

I would use the whiteboard and write down y=lnx, and also the integration by parts formula below it. I would then explain how to treat ln(x) as the "u" and "1" as dv/dx; including why ...

Answered by Jamie Z. • Maths tutor

2876 Views