The magnitude of the acceleration of block m2 is 0.09 m/s² and the tension in the cord is 1.8 x 10⁻³ N.
Acceleration of the blocks
The acceleration of the blocks is calculated from the net force on the blocks.
∑F = ma
a = ∑F/m
a = (F) / (m₁ + m₂)
where;
- F is the horizontal force applied
- m₁ is mass of first block = 40 g = 0.04 kg
- m₂ is mass of the second block = 20 g = 0.02 kg
a = (0.03)/(0.04 + 0.02)
a = 0.09 m/s²
Tension due to block m₂
T = m₂a
T = (0.02 x 0.09) = 1.8 x 10⁻³ N
Thus, the magnitude of the acceleration of block m2 is 0.09 m/s² and the tension in the cord is 1.8 x 10⁻³ N.
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