Respuesta :

Given

F: Net force

a: accelaration

v0: initial speed

vf: final speed

t: time

Data

F = 1377 N

v0 = 0 m/s

vf = 62.07 km/h

t = 5.717

Procedure

Newton's second law of motion pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object

[tex]F=ma[/tex]

Now let us calculate the acceleration of the vehicle. But, first we must transform the units from km/h to m/s

v0 = 0km/h = 0m/s

vf = 62.07 km/h = 17.24 m/s

[tex]\begin{gathered} a=\frac{v_f-v_o}{t} \\ a=\frac{17.24-0\text{ m/s}}{5.717\text{ s}} \\ a=3.015\text{ m/s}^{}^2 \end{gathered}[/tex]

Now let's calculate the mass of the car

[tex]\begin{gathered} m=F/a \\ m=\frac{1377N}{3.015m/s^2} \\ m=0.456\operatorname{kg} \end{gathered}[/tex]

Now to calculate the weight of the car

[tex]\begin{gathered} W=mg \\ W=0.456\operatorname{kg}\cdot9.8m/s^2 \\ W=4475.8N \end{gathered}[/tex]

The weight of the car is 4475.8N

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