To find the magnitude of the force applied on the body when a uniform force is applied, you can use the formula:

\[F = m \cdot a\]

Where:
– \(F\) is the force applied (in Newtons, N)
– \(m\) is the mass of the body (in kilograms, kg)
– \(a\) is the acceleration of the body (in meters per second squared, m/s²)

Question: When a uniform force is applied on a body of mass 10 kg for 5 seconds, the body attains a speed of 15 meters per second. Find the magnitude of the force applied on the body.

Answer: In this case, mentioned that the body attains a speed of 15 meters per second in 5 seconds. To find the acceleration, you can use the following formula:

\[a = \frac{\Delta v}{\Delta t}\]

Where:
– \(\Delta v\) is the change in velocity (in meters per second, m/s)
– \(\Delta t\) is the time it takes to achieve this change in velocity (in seconds, s)

– \(\Delta v = 15 m/s\) (final velocity – initial velocity)

– \(\Delta t = 5 s\)

Now, calculate the acceleration:

\[a = \frac{15 m/s}{5 s}\]

\[a = 3 m/s²\]

Now that you have the acceleration, you can find the magnitude of the force:

\[F = 10 kg \cdot 3 m/s²\]

\[F = 30 N\]

So, the magnitude of the force applied on the body is 30 Newtons (N).