An engineering team is testing a spherical underwater sensor of mass M M\,M and volume VVV. The sensor is fully submerged in various calibration liquids of different densities ρ\rhoρ. In each liquid, the sensor is suspended from a tether, and the tension T T\,T in the tether is measured.
A graph is plotted with tension T T\,T on the vertical (yyy) axis and fluid density ρ \rho\,ρ on the horizontal (xxx) axis. Assuming the sensor's density is always greater than that of the calibration liquids, which mathematical equation represents this relationship, where m m\,m and c c\,c are positive physical constants?
y=mxy = mxy=mx
y=c−mxy = c - mxy=c−mx
y=mx+cy = mx + cy=mx+c
y=mxy = \frac{m}{x}y=xm
54 exam-style questions on Edexcel GCSE Physics 15.2 Pressure in fluids (physics only). Each one has a worked solution and a mark scheme showing where the marks go.