A resultant force of 15.00N acts on a body for 4 secs of mass 4kg.calculate the changes in momentum of the body within this period
starting with initial p=0, the change is
F=ma, so a = 15/4
v = at = 15/4 * 4 = 15
p = mv = 4*15 = 60
To calculate the change in momentum of the body, you need to use the formula:
Change in Momentum = Force × Time
Given:
Resultant force (F) = 15.00 N
Time (t) = 4 s
Now, let's calculate the change in momentum:
Change in Momentum = 15.00 N × 4 s
Change in Momentum = 60.00 kg·m/s
Therefore, the change in momentum of the body within this period is 60.00 kg·m/s.
To calculate the change in momentum of a body, you need to use the formula:
Change in momentum = Mass × Change in velocity
First, let's calculate the change in velocity.
We know that the resultant force acting on the body is 15.00 N. The equation that relates force, mass, and acceleration is:
force = mass × acceleration
We can rearrange this equation to solve for acceleration:
acceleration = force / mass
Substituting the given values:
acceleration = 15.00 N / 4 kg
acceleration = 3.75 m/s²
Now, we can calculate the change in velocity. The equation that relates acceleration, time, and change in velocity is:
change in velocity = acceleration × time
Substituting the given values:
change in velocity = 3.75 m/s² × 4 s
change in velocity = 15 m/s
Finally, we can calculate the change in momentum. The equation that relates mass and change in velocity is:
change in momentum = mass × change in velocity
Substituting the given values:
change in momentum = 4 kg × 15 m/s
change in momentum = 60 kg·m/s
Therefore, the change in momentum of the body in this period is 60 kg·m/s.