ECAT MCQs

For floating equilibrium, submerged fraction equals object density divided by fluid density.
750/1000 = 0.75.

Linear speed is v=rω.
V=0.5×8 = 4 m/s.

Elastic deformation is reversible within the elastic limit.
Beyond that limit, permanent deformation may occur.

Volume flow rate is Q=Av.
Q=0.04×3 = 0.12 m³/s.

Rotational dynamics gives τ=Iα.
τ=3×4 = 12 N·m.

Stress measures internal force intensity.
It may be tensile, compressive, or shear.

Opposing torques subtract.
The net magnitude is 15-9 = 6 N·m.

Strain compares deformation with original dimension.
It is dimensionless.

Universal gravitation applies to any pair of masses.
The force acts along the line joining their centers.

Young's modulus measures material stiffness.
A larger value means less strain for a given stress.

Gravitational field strength is g=F/m.
Its unit is N/kg, equivalent to m/s².

Use F=Gm₁m₂/r².
F=6.67×10^-11×2×3 = 4.002×10^-10 N.