1) A toy car with a mass of 2.35 kg is pushed with a force of 21.6 N. What is the acceleration of the car? a) Given Information: Write the given information in the problem. If any units need to be converted, make that conversion as a part of your given.
b) Equation: Write the general equation you will need to solve this problem, then use algebra steps to isolate the variable you are solving for if necessary. (Write both!)
c) Substitute and Calculate: Substitute the given values into your equation and solve. Do the math!
d) Final Answer: Give your final answer with correct units rounded to the correct number of significant figures.
1. A = Force in Newtons / mass in kg
Newton's second law is Force vector = mass * acceleration vector in other words F = m A
Now do it.
a) Given Information:
- Mass of the toy car (m) = 2.35 kg
- Force applied to the toy car (F) = 21.6 N
b) Equation:
The equation we will use to solve this problem is Newton's second law of motion, which states that the acceleration (a) of an object is directly proportional to the net force (F) applied to it and inversely proportional to its mass (m). The equation is given by:
F = m * a
To isolate the acceleration (a), we rearrange the equation as follows:
a = F / m
c) Substitute and Calculate:
Substituting the given values into the equation, we have:
a = 21.6 N / 2.35 kg
Calculating the value:
a ≈ 9.19 m/s²
d) Final Answer:
The acceleration of the car is approximately 9.19 m/s².