Question

A force 5n gives a mass m1 an acc of 8 m/s^2 and a mass m2 an acceleration of 24m/s^2 when they ate tied together m, the acceleration will be
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Answer 1

Given :

Applied force = 5N

Acceleration of block m₁ = 8m/s²

Acceleration of block m₂ = 24m/s²

To Find :

Acceleration of the combined mass.

Solution :

❖ First of all we need to find mass of each block.

As per newton's second law of motion, force is measured as the product of mass and acceleration.

Mathematically, F = m a

• F denotes force
• m denotes mass
• a denotes acceleration

♦ Mass of the first block :

➙ F = m₁ a₁

➙ 5 = m₁ × 8

➙ m₁ = 5/8 kg

♦ Mass of the second block :

➙ F = m₂ a₂

➙ 5 = m₂ × 24

➙ m₂ = 5/24 kg

Now both blocks are tied together. Hence total mass will be (m₁ + m₂)$.$

➠ F = (m₁ + m₂) a

➠ 5 = [5/8 + 5/24] × a

➠ 24 = (3 + 1) a

➠ a = 24/4

➠ a = 6 m/s²

∴ Acceleration of the combined mass is 6 m/s².