The mass of the unknown block in the block and pulley system can be determined using Newton's second law and kinematic equations. Given a 100 kg block that takes 5.60 seconds to fall 1 meter, the acceleration can be calculated using the equation \(X_f = X_i + V_i(T_f - T_i) + 0.5(a)(T_f - T_i)^2\). The tension in the string remains constant, allowing the application of \(100g - T = 100a\) for the known mass and a similar equation for the unknown mass. Solving these equations yields the mass of the other block.
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rl.bhat said:Both blocks must move with the same acceleration. Tension in the string is the same. Apply the Newton's second law for both the masses.
Like for the known mass
100*g - T = 100*a.
Similarly write down the equation for the unknown mass. Solve for T.
Distance moved by the block is given and time is given. Using the relevant equation find the acceleration. Using T and a, find the unknown mass.