Question

(ii) Which would require a greater force : accelerating a 1 kg mass at 10 m/s2 or a 2 kg mass at 4 m/s2 ? Show calculations.​

Answer 1

$\mathcal{\green{\underline{\blue{GIVEN:}}}}$

• An object A₁ has mass (m₁) - 1 Kg, acceleration (a₁) - 10ms⁻².

• An object A₂ has mass (m₂) - 2 Kg, acceleration (a₂) - 4ms⁻².

$\mathcal{\green{\underline{\blue{TO \:\: FIND:}}}}$

Which body would require a greater force?

$\mathcal{\green{\underline{\blue{FORMULA:}}}}$

$\tt \to {\pink{Force (F) = mass (m) \times acceleration (a)}}$

$\mathcal{\green{\underline{\blue{SOLUTION:}}}}$

First, find the force required on A₁.

$\tt \to F_1=m_1 \times a_1$

$\tt \to F_1 = 1 Kg \times 10ms^{-2}$

$\to \tt F_1=10N$

Then, find the force required on A₂.

$\tt \to F_2=m_2 \times a_2$

$\to \tt F_2=2Kg \times 4ms^{-2}$

$\tt \to F_2=8N$

Here, F₁ > F₂

SO THE FORCE REQUIRED ON A₁ > A₂.

$\mathcal{\green{\underline{\blue{HOPE \;\: THIS \:\: HELPS \:\: :D}}}}$