Answer:
The magnitude of the horizontal net force is 13244 N.
Explanation:
Given that,
Mass of car = 1400 kg
Speed = 17.7 m/s
Distance = 33.1 m
We need to calculate the acceleration
Using equation of motion
[tex]v^2-u^2=2as[/tex]
Where, u = initial velocity
v = final velocity
s = distance
Put the value in the equation
[tex]0-(17.7)^2=2a\times 33.1[/tex]
[tex]a=\dfrac{-(17.7)^2}{33.1}[/tex]
[tex]a=-9.46\ m/s^2[/tex]
Negative sign shows the deceleration.
We need to calculate the net force
Using newton's formula
[tex]F = ma[/tex]
[tex]F =1400\times(-9.46)[/tex]
[tex]F=-13244\ N[/tex]
Negative sign shows the force is opposite the direction of the motion.
The magnitude of the force is
[tex]|F| =13244\ N[/tex]
Hence, The magnitude of the horizontal net force is 13244 N.
