if a 400g ball moving 1.2 m/s [north], receives an impulse that changes its direction and speed to 2.8 m/s [east], what is the change of momentum?
To find the change in momentum, we need to calculate the final momentum and the initial momentum, and then subtract the initial momentum from the final momentum.
Momentum is calculated using the formula: momentum = mass * velocity.
Given:
Mass of the ball (m) = 400 grams = 0.4 kg
Initial velocity (v1) = 1.2 m/s [north]
Final velocity (v2) = 2.8 m/s [east]
Step 1: Calculate initial momentum
Initial momentum (p1) = mass * initial velocity = 0.4 kg * 1.2 m/s
Step 2: Calculate final momentum
Final momentum (p2) = mass * final velocity = 0.4 kg * 2.8 m/s
Step 3: Calculate the change in momentum
Change in momentum = final momentum - initial momentum = p2 - p1
Let's calculate it:
p1 = 0.4 kg * 1.2 m/s = 0.48 kg⋅m/s
p2 = 0.4 kg * 2.8 m/s = 1.12 kg⋅m/s
Change in momentum = 1.12 kg⋅m/s - 0.48 kg⋅m/s = 0.64 kg⋅m/s
So, the change in momentum is 0.64 kg⋅m/s.