A resultant force of 15.00N acts on a body for 4sec and Mass 4kg. Calculate the change in momentum of the body within this period.
change in momentum = force * change in time
To calculate the change in momentum of a body, we need to use the equation:
Change in momentum = Force × Time
Given that the force acting on the body is 15.00 N and the time is 4 seconds, we can substitute these values into the equation to find the change in momentum.
Change in momentum = 15.00 N × 4 s
Before we do the multiplication, it's important to note that force is equal to the rate of change of momentum. In other words, force = mass × acceleration, or F = ma. We can rearrange this equation to solve for acceleration, which is a = F/m.
In this problem, the mass of the body is given as 4 kg. So,
Acceleration = Force / Mass
Acceleration = 15.00 N / 4 kg
Now let's calculate the acceleration:
Acceleration = 3.75 m/s²
Now, we can substitute this acceleration value and the time into the equation for change in momentum:
Change in momentum = (Force × Time)
Change in momentum = (3.75 m/s² × 4 s)
Finally, perform the multiplication:
Change in momentum = 15.00 kg·m/s
Therefore, the change in momentum of the body over the given period is 15.00 kg·m/s.