Math Problem Statement

The speed of a body of mass 1 kg under the influence of a constant force F is observed. If the speed of the body changes from 5 m/s to 15 m/s, find the force applied to the body.

Solution

It looks like you've uploaded an image with some text. Let me translate and extract the mathematical or physical problem from it to assist you further. I’ll get back to you shortly with a clear interpretation.The image contains a problem in Arabic. Here’s the translation:

"Example 14: The speed of a body of mass 1 kg under the influence of a constant force FF is observed. If the speed of the body changes from 5 m/s to 15 m/s, find the force applied to the body."

This seems to be a question related to force and motion, involving the change in velocity and asking to find the applied force.

To solve this, we can use the equation from Newton's second law of motion:

F=maF = ma

Where:

  • mm is the mass of the body (1 kg),
  • aa is the acceleration of the body.

We can find the acceleration using the following kinematic equation:

v2=u2+2asv^2 = u^2 + 2as

Where:

  • vv is the final velocity (15 m/s),
  • uu is the initial velocity (5 m/s),
  • aa is the acceleration,
  • ss is the displacement.

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Math Problem Analysis

Mathematical Concepts

Newton's Second Law
Kinematics
Acceleration

Formulas

F = ma
v^2 = u^2 + 2as

Theorems

Newton's Second Law of Motion

Suitable Grade Level

High School (Grades 9-12)