An automobile with a mass of 1000 kg accelerates at a traffic light with a force of 4000 N. What is the automobile's acceleration?​

Respuesta :

Explanation:

Given

mass (m) = 1000 kg

Force (F) = 4000 N

Acceleration (a) = ?

We have the relation

F = m * a

or, 4000 = 1000 * a

or a = 4000 / 1000

a = 4 m/s²

The acceleration of the automobile is 4 m/s²

Hope it will help :)❤

Answer:

[tex]\boxed {\boxed {\sf 4 \ m/s^2}}[/tex]

Explanation:

According to Newton's Second Law of Motion, force is equal to the product of mass and acceleration.

[tex]F=m*a[/tex]

We know the mass is 1000 kilograms and the force is 4000 Newtons. Let's convert the units to simplify the question for later.

  • 1 Newton is equal to 1 kilogram meter per square second.
  • The force of 4000 N is equal to 4000 kg*m/s²

[tex]m= 1000 \ kg \\F= 4000 \ kg*m/s^2[/tex]

Substitute the values into the formula.

[tex]4000 \ kg*m/s^2=1000 \ kg *a[/tex]

We want to find the acceleration, a. We must isolate the variable on one side of the equation.

1000 kg and a are being multiplied. The inverse operatio of multiplication is division. Divide both sides of the equation by 1000 kg.

[tex]\frac{4000 \ kg*m/s^2 }{1000 \ kg } =\frac{1000 \ kg*a}{1000 \ kg}[/tex]

The kilograms will cancel.

[tex]\frac{4000 \ m/s^2 }{1000 }=a[/tex]

[tex]4 \ m/s^2 =a[/tex]

The autombile's acceleration is 4 meters per square second.

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