An automobile is pulled by a horizontal tow line, with a force of 900 N. If its acceleration is 1.0 m/s2, calculate the mass of the automobile.
To determine the mass of the automobile, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration.
Given:
Force (F) = 900 N
Acceleration (a) = 1.0 m/s^2
Using the formula:
F = ma
Rearranging the formula to solve for mass (m):
m = F / a
Substituting the given values:
m = 900 N / 1.0 m/s^2
m = 900 kg
Therefore, the mass of the automobile is 900 kg.
To calculate the mass of the automobile, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. Mathematically, this can be expressed as:
F = m * a
where F is the force applied, m is the mass of the object, and a is its acceleration.
In this case, we are given the force applied (900 N) and the acceleration (1.0 m/s^2), and we need to calculate the mass of the automobile.
Rearranging the equation, we get:
m = F / a
Substituting the given values into the equation:
m = 900 N / 1.0 m/s^2
m = 900 kg
Therefore, the mass of the automobile is 900 kg.