
Which has greater momentum, an elephant at rest or an ant in motion?
(A) Elephant
(B) Ant
(C) Neither has momentum
(D) Same
Answer
568.2k+ views
Hint
We will use momentum = velocity x mass $(p = m.v)$ . We will thus consider linear momentum of both the objects given to us in the question and find the required solution. It is true that the elephant has significant mass but for it to have momentum, it needs velocity.
Complete step by step answer
The mass of an elephant is clearly more than an ant but as an ant is moving with a certain velocity. Therefore, it possesses a linear momentum whereas the elephant is at rest so the linear momentum of the elephant comes out to be zero.
$p = m.v$ This is the case for the ant where m is the mass of the ant and v is its velocity.
In the case of the elephant $p = m.v \Rightarrow p = m.0 = 0$.
Therefore, the correct options are (B). The momentum of an ant is clearly larger.
Additional Information
The law of momentum coms under Newton’s second law.
Which states that the force acting on a body is equal to the rate of change of its momentum.
i.e. $\dfrac{{dp}}{{dt}} = F$
Note
Noticing large bodies such as that of an elephant one tends to think that every aspect possessed by it is larger as compared to its smaller counterpart in the question, but we have to take into account all the values of the vector and scalar quantities before solving.
We will use momentum = velocity x mass $(p = m.v)$ . We will thus consider linear momentum of both the objects given to us in the question and find the required solution. It is true that the elephant has significant mass but for it to have momentum, it needs velocity.
Complete step by step answer
The mass of an elephant is clearly more than an ant but as an ant is moving with a certain velocity. Therefore, it possesses a linear momentum whereas the elephant is at rest so the linear momentum of the elephant comes out to be zero.
$p = m.v$ This is the case for the ant where m is the mass of the ant and v is its velocity.
In the case of the elephant $p = m.v \Rightarrow p = m.0 = 0$.
Therefore, the correct options are (B). The momentum of an ant is clearly larger.
Additional Information
The law of momentum coms under Newton’s second law.
Which states that the force acting on a body is equal to the rate of change of its momentum.
i.e. $\dfrac{{dp}}{{dt}} = F$
Note
Noticing large bodies such as that of an elephant one tends to think that every aspect possessed by it is larger as compared to its smaller counterpart in the question, but we have to take into account all the values of the vector and scalar quantities before solving.
Recently Updated Pages
A man running at a speed 5 ms is viewed in the side class 12 physics CBSE

The number of solutions in x in 02pi for which sqrt class 12 maths CBSE

State and explain Hardy Weinbergs Principle class 12 biology CBSE

Write any two methods of preparation of phenol Give class 12 chemistry CBSE

Which of the following statements is wrong a Amnion class 12 biology CBSE

Differentiate between action potential and resting class 12 biology CBSE

Trending doubts
What are the major means of transport Explain each class 12 social science CBSE

Which are the Top 10 Largest Countries of the World?

Draw a labelled sketch of the human eye class 12 physics CBSE

Explain sex determination in humans with line diag class 12 biology CBSE

Explain sex determination in humans with the help of class 12 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

