Calculate the force acting on a body which changes the momentum of the body at the rate of `1"kg-m/s"^2.`

Answer

To solve the problem of calculating the force acting on a body that changes its momentum at a rate of \(1 \, \text{kg m/s}^2\), we can use Newton's second law of motion. Here’s a step-by-step solution:

### Step 1: Understand the relationship between force and momentum
According to Newton's second law of motion, the force acting on an object is equal to the rate of change of momentum of that object. Mathematically, this can be expressed as:
\[ F = \frac{dp}{dt} \]
where \(F\) is the force, \(p\) is the momentum, and \(t\) is time.

### Step 2: Identify the given values
From the problem, we know that the rate of change of momentum is given as:
\[ \frac{dp}{dt} = 1 \, \text{kg m/s}^2 \]

### Step 3: Substitute the known value into the equation
Now we can substitute the given value of the rate of change of momentum into the equation for force:
\[ F = \frac{dp}{dt} = 1 \, \text{kg m/s}^2 \]

### Step 4: Conclusion
Thus, the force acting on the body is:
\[ F = 1 \, \text{N} \]

### Final Answer
The force acting on the body is \(1 \, \text{N}\).

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