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In physics, we can find the amount of force needed to push or pull an object by multiplying the object's mass by the object's acceleration. The units of force are called Newtons.

[tex]\[
\begin{array}{c}
\text{force} = \text{mass} \times \text{acceleration} \\
F = ma
\end{array}
\][/tex]

Find the amount of force it takes to push Jeff's race car if the mass of the race car is 750 kg and the acceleration is [tex]2.5 \frac{m}{s^2}[/tex].

The amount of force needed to push Jeff's race car is [tex]\square[/tex] Newtons.


Sagot :

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.