Math Problem Statement

We are having a physics test on forces and Universal Gravitation and the questions give us 10N and 50m/s/s and it want us to find mass?

Solution

To solve for mass using the given values, we'll use Newton's second law and the equation for force in terms of mass and acceleration.

Newton’s Second Law:

F=maF = ma Where:

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

You are given:

  • Force F=10NF = 10 \, \text{N},
  • Acceleration a=50m/s2a = 50 \, \text{m/s}^2.

Rearranging the formula to solve for mass mm:

m=Fam = \frac{F}{a} Substitute the given values into the equation: m=10N50m/s2m = \frac{10 \, \text{N}}{50 \, \text{m/s}^2} m=0.2kgm = 0.2 \, \text{kg}

So, the mass is 0.2 kg.


Would you like further details on the steps or clarification on any part of the problem? Let me know if you need help with other questions!


Here are five related questions for further study:

  1. How would the mass change if the acceleration was doubled?
  2. What is the difference between weight and mass, and how are they related to the force of gravity?
  3. How do you calculate the gravitational force between two objects using Universal Gravitation?
  4. How does the mass of an object affect its acceleration when subjected to the same force?
  5. What would happen if the force was kept constant but the mass increased?

Tip: When dealing with forces and masses, always be mindful of the units you're working with. Force is measured in newtons (N), acceleration in m/s², and mass in kilograms (kg).

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Math Problem Analysis

Mathematical Concepts

Newton’s Second Law
Force and Acceleration
Basic Algebra

Formulas

F = ma
m = F / a

Theorems

Newton’s Second Law of Motion

Suitable Grade Level

Grades 9-12