A constant force F is applied to a body of mass 0.9kg and the body stays at rest for 10 sec.if the move move 250m what is the force?

To determine the force applied to the body, we first need to analyze the situation step by step. Given that the body remains at rest for 10 seconds before moving 250 meters, we can infer that the force is not acting on the body during that initial period. Instead, it suggests that the force is applied just before the body starts moving. Let's break this down further.

Understanding Motion and Force

According to Newton's second law of motion, the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). In this case, we have a mass (m) of 0.9 kg. However, we need to find the acceleration (a) to calculate the force.

Acceleration Calculation

Since the body remains at rest for 10 seconds, we can assume that the force is applied at the end of this period, causing the body to accelerate. To find the acceleration, we can use the formula for distance traveled under constant acceleration:

• Distance (d) = Initial velocity (u) × time (t) + 0.5 × acceleration (a) × time²

In this case, the initial velocity (u) is 0 (since the body starts from rest), and the distance (d) is 250 meters, while the time (t) is the time taken to cover that distance after the force is applied. Let’s denote the time taken to move the 250 meters as T.

Rearranging the formula gives us:

• 250 = 0 + 0.5 × a × T²

This simplifies to:

• 250 = 0.5 × a × T²
• 500 = a × T²
• a = 500 / T²

Finding Force

Now, we need to express the force in terms of the acceleration we just calculated. Using Newton's second law:

• F = m × a

Substituting the expression for acceleration:

• F = m × (500 / T²)
• F = 0.9 × (500 / T²)

Now, we need to determine the time T. If we assume the body takes a certain time to cover the 250 meters after the force is applied, we can calculate the force once we have that time. However, without additional information about how long it takes to move those 250 meters, we can't find a specific numerical value for the force.

Conclusion

In summary, the force applied to the body can be expressed as F = 0.9 × (500 / T²). To find the exact value of the force, we need to know the time T it takes for the body to travel 250 meters after the force is applied. If you have that information, we can plug it into the equation to find the force. If not, we can only express the force in terms of T.