Sagot :
[tex]\tt{\huge{\blue{Explanation:}}}[/tex]
The acceleration of an object is given by
[tex]\boxed{a = \frac{v_{f} - v_{i}}{t}}[/tex]
where:
a = acceleration
vf = final velocity
vi = initial velocity
t = time
The force acting on an object is given by
[tex]\boxed{F = ma}[/tex]
where:
F = force
m = mass
a = acceleration
[tex]\tt{\huge{\red{Solution:}}}[/tex]
Solving for a
[tex]a = \dfrac{v_{f} - v_{i}}{t}[/tex]
[tex]a = \dfrac{\text{20 m/s} - \text{50 m/s}}{\text{6.0 s}}[/tex]
[tex]\boxed{a = -\text{5 m/}\text{s}^{2}}[/tex]
Solving for F
F = ma
F = (1,500 kg)(-5 m/s²)
[tex]\boxed{F = -\text{7,500 N}}[/tex]
Note: The negative sign of the acceleration and the force indicates that the object is decelerating, meaning, the object is slowing down.
[tex]\\[/tex]
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