Momentum & Impulse with Vectors (Edexcel A-Level Further Mathematics): Quizzes

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Momentum & Impulse with Vectors
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What type of quantities are momentum and impulse?

Vector quantities

What is the formula for momentum p\mathbf{p} in vector form?

p=mv\mathbf{p} = m\mathbf{v}

What is the formula for impulse J\mathbf{J} in terms of force and time?

J=FΔt\mathbf{J} = \mathbf{F}\Delta t

What does impulse represent in terms of momentum?

Change in momentum

What is the angle of deflection?

Angle between initial and final velocity

What is needed to calculate the angle of deflection?

Dot product and magnitudes

A 22 kg mass with velocity (3,4)(3,4) ms−1^{-1} receives impulse (4,−6)(4,-6) Ns. Find final velocity.

(5,1)(5,1) ms−1^{-1}

A 33 kg particle changes velocity from (6,0)(6,0) to (4,3)(4,3) ms−1^{-1}. Find the impulse.

(−6,9)(-6,9) Ns

Velocity changes from (6,0)(6,0) to (4,3)(4,3) ms−1^{-1}. If cos⁡θ=0.8\cos\theta = 0.8, find deflection angle.

36.87°36.87°

What property must speed (magnitude of velocity) always have?

Always positive

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