An object accelerates 3.0 m/s2 when a force of 6.0 Newtons is applied to it. What is the mass of the object?
To find the mass of the object, we can use Newton's second law of motion, which states: Force = mass × acceleration.
We are given that the force applied is 6.0 Newtons and the acceleration is 3.0 m/s^2.
Step 1: Write down the given values:
Force (F) = 6.0 N
Acceleration (a) = 3.0 m/s^2
Step 2: Rearrange the formula to solve for mass (m):
F = m × a
Dividing both sides of the equation by acceleration (a), we get:
m = F / a
Step 3: Substitute the given values into the formula:
m = 6.0 N / 3.0 m/s^2
Step 4: Perform the calculation:
m = 2.0 kg
Therefore, the mass of the object is 2.0 kg.
To find the mass of the object, you can use Newton's second law of motion, which states that the force acting on an object is directly proportional to its mass and acceleration. The equation for this relationship is F = ma, where F is the force, m is the mass, and a is the acceleration. Rearranging the equation, we get m = F/a.
In this case, you are given that the force acting on the object is 6.0 Newtons and the acceleration is 3.0 m/s^2. Plugging these values into the equation, you get:
m = 6.0 N / 3.0 m/s^2
m = 2.0 kg
Therefore, the mass of the object is 2.0 kilograms.