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.