Question

A certain force gaive an acceleration of 2m/sec2 to body of mass 5kg. The same force would gaive a 20kg oblect an acceleration of​

Answer 1

Answer:

0.5 m/s²

Explanation:

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

• A certain force gives an acceleration of 2 m/s² to body of mass 5 kg.

We've been asked to calculate the acceleration on the object of mass 20 kg if the same force is applied.

According to the statements given in the question, it is clear that the force applied in both conditions is same.

In first condition,

• Mass of the object (m) = 5 kg
• Acceleration (a) = 2 m/s²

Here,

➝ F = ma

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

⇒ F = 5 × 2 N

⇒ F = 10 N⠀⠀⠀⠀⠀⠀⠀… ( 1 )

Now, according to the question in the second condition force is same and we have, in the second condition :

• Force (F) = 10 N [Same as the first condition.]
• Mass (m) = 20 kg

➝ F = ma

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

⇒ 10 kg.m/s² = 20 kg × a

⇒ 10 kg.m/s² ÷ 20 kg = a

⇒ 0.5 m/s² = a

Therefore, the same force would give a 20 kg object an acceleration of 0.5 m/s².