The lab manual derived an equation to determine the projectile velocity if we fired it into a ballistic pendulum assuming the simplest approach (measuring change in height): v ⃑_1=(m+M)/m √2g∆h However, mechanically the simplest way is to measure the max angle the pendulum swings up to. Knowing the geometry, you can derive a substitution using trigonometry. Show how you would derive the substitution: ∆h=R_CM (1-cos⁡〖θ)〗

The vapour pressure of benzene is 53.3 kpa at 60.6 °c, but it fell to 51.5 kpa when 19.0 g of a non-volatile organic compound was dissolved in 500 g of benzene. calculate the molar mass of the compound.

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?

Are good conductors of heat also good conductors of electricity? explain your answer.