Math Problem Statement

force of 50 N applied to a 5 kg object what is the object's acceleration

Solution

To find the acceleration of the object, we can use Newton's second law of motion, which states:

F=maF = ma

Where:

  • FF is the force applied (50 N),
  • mm is the mass of the object (5 kg), and
  • aa is the acceleration, which we need to find.

Rearranging the equation to solve for acceleration aa:

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

Substituting the values:

a=50N5kg=10m/s2a = \frac{50 \, \text{N}}{5 \, \text{kg}} = 10 \, \text{m/s}^2

So, the object's acceleration is 10 m/s².

Would you like more details or have any questions?

Here are 5 related questions:

  1. What would the acceleration be if the force applied was doubled to 100 N?
  2. How does mass affect acceleration if the force remains constant?
  3. What is Newton's second law of motion, and how is it applied in different scenarios?
  4. If friction is present, how would it affect the acceleration of the object?
  5. How can we calculate the final velocity of an object if the initial velocity and time of acceleration are known?

Tip: Always keep units consistent when calculating forces and accelerations to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Physics
Newton's Second Law of Motion
Acceleration

Formulas

F = ma
a = F/m

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 6-8