A block of mass M = 300 g is connected to a load of mass m = 200 g by a weightless

| July 6, 2021 | education

A block of mass M = 300 g is connected to a load of mass m = 200 g by a weightless and inextensible thread thrown over a weightless block. What is the acceleration modulus of a bar weighing 200 g

To find the modulus of acceleration of the bar (load, their acceleration is the same), we use the equality: M * g – M * a = N (thread tension) = m * g + m * a.

M * a + m * a = M * g – m * g.

a * (M + m) = g * (M – m).

a = g * (M – m) / (M + m).

Constants and variables: g – gravitational acceleration (g ≈ 10 m / s2); M is the mass of the bar (M = 300 g = 0.3 kg); m is the mass of the cargo (m = 200 g = 0.2 kg).

Calculation: a = g * (M – m) / (M + m) = 10 * (0.3 – 0.2) / (0.3 + 0.2) = 2 m / s2.

Answer: The module of acceleration of the bar and the load is equal to 2 m / s2.



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