Answer
See the detailed answer below.
Work Step by Step
a) A 150-gram rocket toy is moving to the right at a speed of 1 m/s when suddenly it exploded into two parts. One of these two parts is 100 grams and is moving to the right at a speed of 7.5 m/s. What is the speed of the other part?
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b) See the pictorial representation below.
$$v_{fx,2}=\dfrac{(150\times 1.0)-(100\times 7.5)}{50}=\color{red}{\bf -12}\;\rm m/s$$