An object with a mass of 2300 g has a force of 6.2 newtons applied to it. What is the resulting acceleration of the object?
PLEASE HELP
To find the resulting acceleration of the object, you can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The formula for Newton's second law of motion is:
F = m * a
Where:
F is the net force acting on the object (in newtons)
m is the mass of the object (in kilograms)
a is the acceleration of the object (in meters per second squared)
Now, let's solve the problem step by step.
1. Convert the mass from grams to kilograms:
Mass = 2300 g = 2300 g / 1000 = 2.3 kg
2. Plug the values into the formula:
F = 6.2 N
m = 2.3 kg
a = ?
6.2 N = 2.3 kg * a
3. Rearrange the equation to solve for acceleration:
Divide both sides of the equation by 2.3 kg:
a = 6.2 N / 2.3 kg
4. Calculate the resulting acceleration:
a ≈ 2.70 m/s²
Therefore, the resulting acceleration of the object is approximately 2.70 meters per second squared.