Question

force of 5n gives a mass m1 an acceleration of 10m/s square and mass m2 an acceleration of 20m/s square what acceleration would it give of both the masses where tied together?​

Answer 1

When a force of 5N gives an acceleration of 10ms-² to a body 

then its mass = 5/10 kg = 0.5kg

so, m₁ = 0.5kg

when a force of 5N gives an acceleration of 20ms⁻² to a body 

then its mass = 5/20 kg = 0.25kg

so, m₂ =  0.25kg

when the two bodies r tied total mass of the system bcomes = 0.75kg

so acceleration of the system will b = force/mass = 5/0.75 = 6.67 ms⁻²

Answer 2

Answer

Acceleration = 6.67 m/s²

Given

A force of 5 N gives a mass m₁ an acceleration of 10 m/s² and a mass m₂ an acceleration of 20 m/s²

To Find

Acceleration produced when both tied together

Formula

Newton 2nd's Law :

It states that force produces by an object is equals to mass times the acceleration

$\bigstar \;\; \bf Force =mass \times acceleration\\\\\bigstar \;\; \bf F=ma$

SI unit of force is Newton

SI unit of mass is Kg

SI unit acceleration is m/s²

Solution

Case-1 : For 1st body of mass , m₁

Force , F = 5 N

Mass , m₁ = m₁ Kg

Acceleration , a = 10 m/s²

⇒ F = ma

⇒ 5 = m₁ (10)

⇒ m₁ = ¹/₂

⇒ m₁ = 0.5 Kg

Case-2 : For 2nd body of mass , m₂

Force , F = 5 N [ ∵ Same force ]

Mass , m₂ = m₂ Kg

Acceleration , a = 20 m/s²

⇒ F = ma

⇒ 5 = m₂ (20)

⇒ m₂ = ⁵/₂₀

⇒ m₂ = ¹/₄

⇒ m₂ = 0.25 Kg

Case-3 : For both bodies when tied together

Force , F = 5 N

Masses when tied together ,

⇒ m₁ + m₂ = 0.5 + 0.25

⇒ m₁ + m₂ = 0.75 Kg

Acceleration , a = ? m/s²

Apply Formula ,

⇒ F = ma

⇒ F = ( m₁ + m₂ ) a

⇒ 5 = ( 0.75 ) a

⇒ a = ⁵/₀.₇₅

⇒ a = 6.67 m/s²