Multiple Choice
For a system at rest that explodes into two pieces, if piece a has mass and moves with velocity immediately after the explosion, what is the magnitude of the momentum of piece a before the explosion?
11. Momentum & Impulse
Intro to Momentum
Multiple Choice
A meteorite of mass kg moves with a speed of . What is the magnitude of its momentum ?
A
B
C
D
Verified step by step guidance1
Identify the given quantities: mass of the meteorite \(m = 1500\ \text{kg}\) and its speed \(v = 0.700c\), where \(c\) is the speed of light.
Recall that the relativistic momentum \(p\) is given by the formula:
\(p = \frac{m v}{\sqrt{1 - \left(\frac{v}{c}\right)^2}}\)
Substitute the given values into the formula:
\(p = \frac{1500 \times 0.700c}{\sqrt{1 - (0.700)^2}}\)
Calculate the denominator inside the square root first:
\$1 - (0.700)^2 = 1 - 0.49 = 0.51$
Take the square root of the denominator and then divide the numerator by this value to find the magnitude of the momentum \(p\).
Related Videos
Related Practice
