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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 = 1/2kx² W is work done.

rearranging F = k*x and using t...

Answered by Tabraiz C. • Physics tutor

15050 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 = u². Next we perform do differentiations, one on u as a functio...

Answered by Tabraiz C. • Maths tutor

17854 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 ...

Answered by Nana B. • Maths tutor

5536 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 mobil...

Answered by Zoe B. • Geography tutor

2340 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...

Answered by Morenikeji N. • Maths tutor

6199 Views