Answer :
To determine the mass of the object, we can use the relationship between impulse and momentum. The formula for impulse is given by the equation:
[tex]\[ \text{Impulse} = \text{Change in Momentum} \][/tex]
And since momentum is the product of mass and velocity, we can write:
[tex]\[ \text{Impulse} = M \times \Delta V \][/tex]
Where:
- Impulse is given as 324 Ns (Newton-seconds).
- [tex]\(\Delta V\)[/tex] is the change in velocity, which is 9 m/s.
- [tex]\(M\)[/tex] is the mass of the object, which we need to find.
We can rearrange the equation to solve for mass ([tex]\(M\)[/tex]):
[tex]\[ M = \frac{\text{Impulse}}{\Delta V} \][/tex]
Substituting the given values into the equation:
[tex]\[ M = \frac{324 \, \text{Ns}}{9 \, \text{m/s}} \][/tex]
Performing the division gives:
[tex]\[ M = 36 \, \text{kg} \][/tex]
Therefore, the mass of the object is 36 kg. The correct answer is (c) 36 kg.
[tex]\[ \text{Impulse} = \text{Change in Momentum} \][/tex]
And since momentum is the product of mass and velocity, we can write:
[tex]\[ \text{Impulse} = M \times \Delta V \][/tex]
Where:
- Impulse is given as 324 Ns (Newton-seconds).
- [tex]\(\Delta V\)[/tex] is the change in velocity, which is 9 m/s.
- [tex]\(M\)[/tex] is the mass of the object, which we need to find.
We can rearrange the equation to solve for mass ([tex]\(M\)[/tex]):
[tex]\[ M = \frac{\text{Impulse}}{\Delta V} \][/tex]
Substituting the given values into the equation:
[tex]\[ M = \frac{324 \, \text{Ns}}{9 \, \text{m/s}} \][/tex]
Performing the division gives:
[tex]\[ M = 36 \, \text{kg} \][/tex]
Therefore, the mass of the object is 36 kg. The correct answer is (c) 36 kg.
