To determine the amount of force needed to push Jeff's race car, we will use the formula for force in physics:
[tex]\[
F = m \cdot a
\][/tex]
where:
- [tex]\( F \)[/tex] represents the force in Newtons (N),
- [tex]\( m \)[/tex] is the mass of the object in kilograms (kg),
- [tex]\( a \)[/tex] is the acceleration in meters per second squared (m/s²).
We are given:
- [tex]\( m = 750 \, \text{kg} \)[/tex]
- [tex]\( a = 2.5 \, \text{m/s}^2 \)[/tex]
Substitute the given values into the formula:
[tex]\[
F = 750 \, \text{kg} \cdot 2.5 \, \text{m/s}^2
\][/tex]
Multiplying the values together:
[tex]\[
F = 1875 \, \text{N}
\][/tex]
Thus, the amount of force needed to push Jeff's race car is [tex]\( 1875 \)[/tex] Newtons.