Answer :
To determine the correct equation for calculating the momentum of an object, we start by understanding the physical concept of momentum. In physics, momentum (denoted as [tex]\( p \)[/tex]) of an object is defined as the product of its mass [tex]\( m \)[/tex] and its velocity [tex]\( v \)[/tex].
Given this definition, let's examine each of the provided answer options:
1. [tex]\( p = m + v \)[/tex]: This option suggests that momentum is the sum of mass and velocity, which does not align with the definition of momentum.
2. [tex]\( p = m - v \)[/tex]: This option suggests that momentum is the difference between mass and velocity, which is also incorrect according to the definition.
3. [tex]\( p = m v \)[/tex]: This option suggests that momentum is the product of mass and velocity, which matches the definition.
4. [tex]\( v = m p \)[/tex]: This option suggests a relationship where velocity is the product of mass and momentum, which is incorrect in the context of defining momentum.
Hence, the correct equation for calculating the momentum of an object is given by:
[tex]\[ p = m v \][/tex]
Thus, the correct answer is the third option:
[tex]\[ p = m v \][/tex]
Therefore, the number corresponding to this equation is 3.
Given this definition, let's examine each of the provided answer options:
1. [tex]\( p = m + v \)[/tex]: This option suggests that momentum is the sum of mass and velocity, which does not align with the definition of momentum.
2. [tex]\( p = m - v \)[/tex]: This option suggests that momentum is the difference between mass and velocity, which is also incorrect according to the definition.
3. [tex]\( p = m v \)[/tex]: This option suggests that momentum is the product of mass and velocity, which matches the definition.
4. [tex]\( v = m p \)[/tex]: This option suggests a relationship where velocity is the product of mass and momentum, which is incorrect in the context of defining momentum.
Hence, the correct equation for calculating the momentum of an object is given by:
[tex]\[ p = m v \][/tex]
Thus, the correct answer is the third option:
[tex]\[ p = m v \][/tex]
Therefore, the number corresponding to this equation is 3.