Math Problem Statement

Jonas was driving when he bumped into another car. The car has or mass of it 25kg and Jonas applied a force of 5N. What is the acceleration of the car?

Solution

To calculate the acceleration of the car, we can use Newton's Second Law of Motion:

F=maF = ma

Where:

  • FF is the force applied (in Newtons, N),
  • mm is the mass of the object (in kilograms, kg),
  • aa is the acceleration (in meters per second squared, m/s²).

Rearranging the formula to solve for acceleration:

a=Fma = \frac{F}{m}

Given:

  • Force F=5NF = 5 \, \text{N},
  • Mass m=25kgm = 25 \, \text{kg}.

Substitute the values:

a=5N25kg=0.2m/s²a = \frac{5 \, \text{N}}{25 \, \text{kg}} = 0.2 \, \text{m/s²}

So, the acceleration of the car is 0.2 m/s².

Would you like more details or have any questions about this? Here are some related questions:

  1. How does Newton's Second Law apply to everyday scenarios?
  2. What happens if Jonas applies a larger force to the car?
  3. Can friction affect the car's acceleration in this case?
  4. What other factors could impact the car's motion after impact?
  5. How is the force distributed when two cars collide?

Tip: Always consider external factors like friction or air resistance when dealing with real-world motion problems.

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Math Problem Analysis

Mathematical Concepts

Newton's Second Law of Motion
Acceleration
Force

Formulas

F = ma
a = F / m

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 6-8