A 2-kilogram ball is accelerated from rest to a speed of 8 m/sec. What is the ball`s change in momentum?
Looking for?
Given?
Relationship?(formula)
Solution?
Momentum = M*(V-Vo) = 2*(8-0) = 16 J/s.
Looking for: The change in momentum of the ball
Given:
Mass (m) = 2 kilograms
Initial velocity (u) = 0 m/s
Final velocity (v) = 8 m/s
Relationship (formula):
Change in momentum (Δp) = Final momentum (p) - Initial momentum (p)
The formula for momentum is given by:
Momentum (p) = mass (m) * velocity (v)
Solution:
To find the initial momentum, we can use the formula:
Initial momentum (p) = mass (m) * initial velocity (u)
Since the initial velocity is 0 m/s, the initial momentum will be 0.
Next, we need to find the final momentum using the formula:
Final momentum (p) = mass (m) * final velocity (v)
Final momentum (p) = 2 kg * 8 m/s = 16 kg·m/s
Now, we can find the change in momentum using the formula:
Change in momentum (Δp) = Final momentum (p) - Initial momentum (p)
Change in momentum (Δp) = 16 kg·m/s - 0 kg·m/s = 16 kg·m/s
Therefore, the change in momentum of the ball is 16 kg·m/s.
Looking for: The ball's change in momentum
Given:
- Mass of the ball (m) = 2 kg
- Initial velocity of the ball (u) = 0 m/s
- Final velocity of the ball (v) = 8 m/s
Relationship (formula):
The change in momentum (Δp) can be calculated using the formula:
Δp = m * (v - u)
Solution:
Substituting the given values into the formula:
Δp = 2 kg * (8 m/s - 0 m/s)
Calculating the difference in velocities:
Δp = 2 kg * 8 m/s
Simplifying the equation:
Δp = 16 kg * m/s
Therefore, the change in momentum of the ball is 16 kg * m/s.