Answer:
<em>7 kgm/s or 7 Ns</em>
Explanation:
Since the velocity are perpendicular to each other, the impulses will also be perpendicular.
From newton's second law of motion,
Impulse = mass×velocity
I = mv............. Equation 1
For the horizontal,
I₁ = mv₁......... Equation 2
Given: m = 0.14 kg, v₁ = 40 m/s
Substitute into equation 2
I₁ = 40(0.14)
I₁ = 5.6 kgm/s
Also for the vertical,
I₂ = mv₂.............. Equation 3
Given: m= 0.14 kg, v₂ = 30 m/s
Substitute into equation 3
I₂ = 0.14(30)
I₂ = 4.2 kgm/s
Using Pythagoras to get the resultant impulse
I = √(I₁²+I₂²)................ Equation 4
Substitute the value of I₁ and I₂ into equation 4
I = √(5.6²+4.2²)
I = √(31.36+17.64)
I = √49
<em>I = 7 kgm/s or 7 Ns</em>
