A force of 100 dynes acts on mass of 5 gm for 10 sec. The velocity produced is
200 cm/sec
Step1: Given data
A force of 100 dynes acts on mass of 5 gm for 10 sec
Step2: Formula used
Here, is the force, is the momentum, is the time, is the mass, and is the velocity.
Step3: Calculating velocity
We know that the force is equal to the rate of change of momentum, that is
We also know that the momentum, is given by
Substituting (ii) in (i)
For a constant mass, we have
Multiplying with both the sides
Dividing by on both sides
Integrating both the sides
As the force is constant for the whole time of motion, we have
Substituting the limits, we get
So, this is the expression for the velocity produced.
Now, according to the question
Also,
So, from (iii), we get the velocity produced as
On solving, we get
Therefore the velocity produced is 200 cm/sec.
Hence, option C is the correct answer.