Question

impulse
change
second
time (2)
velocity
these concepts are merely an outgrowth of newton’s second law. we can rearrange newton’s second law to form a new equation:
$f = m \cdot a$
newton’s \underline{\hspace{3cm}} law
$f = m \cdot \delta v / t$
acceleration = change in velocity / time
$f \cdot t = m \cdot \delta v$
multiply both sides of the equation by \underline{\hspace{3cm}}
to truly understand the equation, it is important to understand its meaning in words. in words, it could be said that the force times the \underline{\hspace{3cm}} equals the mass times the change in \underline{\hspace{3cm}}. in physics, the quantity force times time is known as impulse. and since the quantity mass times velocity is momentum, the quantity mass times change in velocity must be the \underline{\hspace{3cm}} in momentum.

Explanation:

Step1: Identify Newton's Law

The formula \( F = m \cdot a \) is Newton's second law (relates force, mass, acceleration). So first blank: "second".

Step2: Equation Manipulation

From \( F = m \cdot \frac{\Delta v}{t} \), multiplying both sides by \( t \) gives \( F \cdot t = m \cdot \Delta v \). So the multiplier is \( t \) (time).

Step3: Interpret the Equation

The equation \( F \cdot t = m \cdot \Delta v \) means force times time equals mass times change in velocity. So first blank in the sentence: "time", second: "velocity".

Step4: Relate to Impulse and Momentum

Impulse is \( F \cdot t \), momentum is \( m \cdot v \), so \( m \cdot \Delta v \) is change in momentum. So last blank: "change".

Answer:

1. Newton’s \(\boldsymbol{\text{second}}\) law
2. multiply both sides by \(\boldsymbol{t}\) (time)
3. force times the \(\boldsymbol{\text{time}}\) equals mass times change in \(\boldsymbol{\text{velocity}}\)
4. \(\boldsymbol{\text{change}}\) in momentum