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Units and measurements - assignment 2, Suppose the acceleration due to gravity at a place is 10 m/s2. Find its, value in cm/(minute)2., 2. The force F is given in terms of time t and displacement x by the equation,, F =A cos B x + C sin Dt. The dimensions of, are, 3. Check the correctness of equation, H= I2Rt, V= U+at2, F=ma, P.E=mgh, F=( Gm1m2)/ r2, H= heat , I = current, R= resistance, t= time, G= gravitational constant, r =, distance, m= mass, a= acceleration, v = Velocity, , 1., , 4.Convert 70 miles/hour to S.I units, 5.Convert 𝞀=2g/cm3 into MkS system

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If the velocity is represented by V, force by F and work by W. These, quantities are taken as fundamental quantities then the correct dimensions, of momentum will be, , A, B W/V, C, , F/V2, , D, , V/W

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The velocity v of sound in a gas depends upon the pressure P and density ρ,, show by dimensional analysis that v ∝ √P/ρ.

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Derive the formula of time period T of simple pendulum If T is found to be, dependent on mass of pendulum (m), length of the string (l) and, acceleration due to gravity (g) using dimensional analysis.

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If velocity (v), force (F) and time (T) are chosen as fundamental quantities,, express, (1) mass, (2) length, 3) energy in terms of v, F and T

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