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A man weighing 600N steps on a scale that contains a spring. The spring is compressed 1cm under their weight. Find the force constant of the spring and total work done on its compression.

relevant equations: F = k*x F is force, k is spring constant and x is displacement from equillibrium. W = 1/2 k x 2 W is work done. rearranging F = k*x and using the information in the question we can solve ...
TC
Answered by Tabraiz C. • Physics tutor
15442 Views

Differentiate y = (sin(x))^2 (find dy/dx)

This a relatively simple question which requires the use of the chain rule to solve. First we set u = sin(x) so we then have y = u 2 . Next we perform do differentiations, one on u as a function of x and the...
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Answered by Tabraiz C. • Maths tutor
19233 Views

Solve these simultaneous equations: 2x+y-5=0 and x^2-y^2=3

To solve this problem, you need to: rearrange the first equation (1) to express y in terms of x to obtain equation (3). Then, substitute this new equation into the quadratic one (the second equation from the...
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Answered by Nana B. • Maths tutor
5820 Views

Using named examples, assess the effectiveness of technological leapfrogging in contributing to the development process

Technological leapfrogging is the process of skipping inferior technology in order to reach a more efficient and cost-effective solution. Technology can increase the access to many resources such as mobile c...
ZB
Answered by Zoe B. • Geography tutor
2565 Views

What is the integral of sin(3x) cos(5x)?

Using trig formulas we have sin(5x+3x)= sin(5x)cos(3x)+cos(5x)sin(3x) and sin(5x-3x)= sin(5x)cos(3x) - cos(5x)sin(3x). Hence, sin(5x+3x) - sin(5x-3x) = sin(8x)-sin(2x) = 2cos(5x)sin(3x). This implies that co...
MN
Answered by Morenikeji N. • Maths tutor
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