Question

Use Newton’s second law (Fnet = ma) to answer each question. SHOW ALL YOUR WORK, including the units! 1N = 1 kg m/s2

An asteroid with a mass of 5.0 kg has a force of 20.0N applied to it. What is the resulting acceleration of the object? Would the asteroid’s acceleration be more than a rocket with a mass of 12.0 kg with a force of 54N applied to it?

Answer 1

CASE I :-

Given :

• Mass of asteroid (m) = 5.0 kg or 5 kg
• Force (F) = 20.0 N or 20 kg

To find :

• Acceleration (a)

According to the question,

At first we will find acceleration by using the formula of F = ma,

→ F = ma

Where,

• F stands for Force
• m stands for Mass
• a stands for Acceleration

→ Substituting the values,

→ 20 = 5 × a

→ 20 ÷ 5 = a

→ 4 = a

.°. The acceleration is 4 m/s²...

CASE II :-

Given :

• Mass of rocket (m) = 12.0 kg or 12 kg
• Force (F) = 54 N

To find :

• Acceleration (a)

According to the question,

In seconds case we will again use the formula F = ma,

→ F = ma

Where,

• F stands for Force
• a stands for Acceleration
• m stands for Mass

→ 54 = 12 × a

→ 54 ÷ 12 = a

→ 4.5 = a

.°. The acceleration is 4.5 m/s²...

So,we can see that in first case the acceleration is 4 m/s² but in second case the acceleration is 4.5 m/s².

We can say that the acceleration of rocket is more than the acceleration of asteroid.

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