Math Problem Statement

An object with a mass of 2 kg moves with an acceleration of 3 m/s. The force acting on the object is ...

Solution

To find the force acting on an object, we can use Newton's second law of motion, which is stated as:

F=maF = ma

where:

  • FF is the force,
  • mm is the mass of the object,
  • aa is the acceleration.

Given:

  • Mass m=2m = 2 kg,
  • Acceleration a=3a = 3 m/s2^2.

Plugging these values into the formula:

F=2kg×3m/s2F = 2 \, \text{kg} \times 3 \, \text{m/s}^2

F=6NF = 6 \, \text{N}

Therefore, the force acting on the object is 6 newtons (N).

Would you like more details or have any questions?

Here are some related questions you might consider exploring:

  1. What would the force be if the mass of the object were doubled?
  2. How would the force change if the acceleration were halved?
  3. What is the relationship between force, mass, and acceleration in Newton's second law?
  4. If the force applied is 10 N, what would be the acceleration of the 2 kg object?
  5. How does Newton's second law apply in a situation with friction?

Tip: Remember, force and acceleration are directly proportional when the mass is constant. If you increase the force on an object, its acceleration increases proportionally, assuming the mass doesn't change.