✪ The velocity-time graph of a ball moving on the surface of floor is shown in the figure. Calculate the force acting on the ball, if mass of the ball is 100 g.
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Answers
v=20m/s
u=0m/s
t=4s
a=v-u/t
=20/4
a=5m/s^2
Mass =100g =0.1kg
Acceleration =5m/s^2
Force =mass * acceleration
0.1*5
0.5N
⇒ Given:
The velocity-time graph of a ball moving on the floor.
The
⇒ To Find:
The force acting on the ball.
⇒ Formula to be used:
→
⇒ Solution:
Mass of the object = 100 g = 0.1 kg
Acceleration = to be found
Force = to be found
We cannot move on until we can find one more value. We can find the acceleration.
Acceleration [a]
Initial velocity = 0 m/s
Final velocity = 20 m/s
Initial time = 0 s
Final time = 4 s
Substituting the values in the equation:
Now we have both the values required:
Acceleration = 5 m/s²
Mass = 0.1 kg
Force = Mass x Acceleration
Force = 0.1 x 5
Force = 0.5 N
Hence the force is 0.5 Newtons.
Newton's Second Law of Motion:
The rate of change of momentum of an object is directly proportional to the external unbalanced force applied and the change takes place in the direction of the force applied.
The mathematical expression is:
F = m x a
This means that the force applied is the product of the mass of the object and the acceleration produced.