Part C
The momentum of an object is determined to be $7.2 \times 10^{-3} kg \cdot m / s$. Express this quantity as provided or use any equivalent unit. (Note: $1 kg=1000 g$ ).
Value
Units
Answer (2)
The momentum of the object, initially given as 7.2 × 1 0 − 3 kg ⋅ m/s , converts to 7.2 g ⋅ m/s by using the conversion factor of 1 kg = 1000 g . This involves substituting the conversion factor and simplifying the resulting expression. Thus, the final answer is 7.2 g ⋅ m/s .
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Convert kilograms to grams using the conversion factor 1 k g = 1000 g .
Substitute the conversion factor into the momentum expression: 7.2 × 1 0 − 3 k g "." m / s = 7.2 × 1 0 − 3 ( 1000 g ) "." m / s .
Simplify the expression: 7.2 × 1 0 − 3 × 1000 = 7.2 .
The momentum in the new units is 7.2 .
Explanation
Understanding the Problem We are given the momentum of an object as 7.2 × 1 0 − 3 k g "." m / s and we need to express this quantity in equivalent units, using the fact that 1 k g = 1000 g .
Converting Units To convert the momentum from k g "." m / s to g "." m / s , we need to convert kilograms to grams. We know that 1 k g = 1000 g . Therefore, we can substitute this conversion factor into the expression for momentum.
Substitution We have 7.2 × 1 0 − 3 k g "." m / s . Substituting 1 k g = 1000 g , we get: 7.2 × 1 0 − 3 k g "." m / s = 7.2 × 1 0 − 3 ( 1000 g ) "." m / s
Simplifying Now, we simplify the expression: 7.2 × 1 0 − 3 × 1000 g "." m / s = 7.2 g "." m / s
Final Answer Therefore, the momentum of the object is 7.2 g "." m / s .
Examples
Imagine you're measuring the impact of a small drone. Knowing its momentum helps predict the force it exerts upon collision. By expressing momentum in different units, like k g "." m / s or g "." m / s , you can easily compare the impact across various scales, from tiny insects to larger objects. This conversion is crucial in fields like robotics, sports, and vehicle safety, where understanding impact forces is essential for designing safer and more efficient systems.
