A body of mass 25kg changes its speed from 15m/s to 35m/s in 5 seconds by the action of an applied force F. Find the value of F.
Answer Details
To find the value of force F, we need to use Newton's second law of motion which states that force is equal to mass multiplied by acceleration (F = ma). In this case, we know the mass of the body is 25kg and we can find the acceleration by using the formula:
acceleration = change in velocity / time
The change in velocity is 35m/s - 15m/s = 20m/s and the time is 5 seconds, so:
acceleration = 20m/s / 5s = 4m/s^2
Now we can use Newton's second law to find the force:
F = ma
F = 25kg x 4m/s^2
F = 100N
Therefore, the value of force F is 100N.