A ball of mass 0.01 kg is moving with a velocity of 50 m/s. On applying a constant force on the ball for 2 s, it acquires a velocity of 70 m/s. What is the initial and final momentum of the ball ?
Answers
Given :
Mass of ball = 0.01 kg
Initial velocity = 50 m/s
Final velocity = 70 m/s
Time interval = 2 s
To Find :
Initial and final momentum of the ball.
Solution :
❒ Momentum is defined as the product of mass and velocity
Mathematically, P = m v
- It is a vector quantity having both magnitude as well as direction.
- It can be positive, negative or zero.
- SI unit : N s
A] Initial momentum :
⇒ p = m × u
⇒ p = 0.01 × 50
⇒ p = 0.5 N s
B] Final momentum :
⇒ p' = m × v
⇒ p' = 0.01 × 70
⇒ p' = 0.7 N s
Additional Information :
- As per newton's second law of motion, force is measured as the rate of change of linear momentum.
- Formula : F = dp / dt
Given :
Mass of ball = 0.01 kg
Initial velocity = 50 m/s
Final velocity = 70 m/s
Time interval = 2 s
To Find :
Initial and final momentum of the ball.
Solution :
❒ Momentum is defined as the product of mass and velocity..
Mathematically, P = m v
It is a vector quantity having both magnitude as well as direction.
It can be positive, negative or zero.
SI unit : N s
A] Initial momentum :
⇒ p = m × u
⇒ p = 0.01 × 50
⇒ p = 0.5 N s
B] Final momentum :
⇒ p' = m × v
⇒ p' = 0.01 × 70
⇒ p' = 0.7 N s
Additional Information :
- As per newton's second law of motion, force is measured as the rate of change of linear momentum.
- Formula : F = dp / dt