Question

which would require a greater or force accelerating a 2 kg mass at 5 msor 4kg kg mass at 2 m s​

Answer 1

Appropriate Question:

Which would require a greater force, an object of mass 2 kg accelerating at 5 m/s² or an object of mass 4 kg accelerating at 2 m/s²?

Answer:

Object of mass 2kg accelerating at 5 m/s²

Explanation:

As per the provided information in the given question,we have :

• m₁ = 2kg
• a₁ = 5 m/s²
• m₂ = 4 kg
• a₂ = 2 m/s²

We are asked to find which would require a greater force.

In order to calculate which would require greater force between two, we need to find the force required by each. Force is the product of mass and acceleration. Mathematically, f = ma. We'll be using this formula to calculate the force required by each.

Finding the force required by first object :

We know that,

⇒ F = ma

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

⇒ F₁ = m₁ × a₁

⇒ F₁ = 2 kg × 5 m/s²

⇒ F₁ = 10 kg.m/s²

Finding the force required by second object :

We know that,

⇒ F = ma

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

⇒ F₂ = m₂ × a₂

⇒ F₂ = 4 kg × 2 m/s²

⇒ F₂ = 8 kg.m/s²

Clearly,

• F₁ > F₂

∴ Object of mass 2kg accelerating at 5 m/s² would require greater force.