Answer :
To find the linear momentum of an object, you can use the formula for linear momentum:
[tex]p = m \times v[/tex]
where:
- [tex]p[/tex] is the linear momentum,
- [tex]m[/tex] is the mass of the object, and
- [tex]v[/tex] is the velocity of the object.
In this problem, the mass [tex]m[/tex] of the object is given as 97.8 kg, and the velocity [tex]v[/tex] is given as 6.50 m/s. Let's calculate the linear momentum:
[tex]p = 97.8 \text{ kg} \times 6.50 \text{ m/s}[/tex]
[tex]p = 635.7 \text{ kg} \cdot \text{m/s}[/tex]
Therefore, the object's linear momentum is 635.7 kg⋅m/s.
Linear momentum is an important concept in physics because it is a measure of the amount of motion an object has and it is conserved in isolated systems, meaning the total momentum before an event is equal to the total momentum after the event.