select the correct answer.\nrita is riding a 7.0 kilogram bike at a velocity of 15 meters/second. ritas mass…

select the correct answer.\nrita is riding a 7.0 kilogram bike at a velocity of 15 meters/second. ritas mass is 42 kilograms. what is her momentum?\na. 1.0×10² kilogram meters/second\nb. 5.2×10² kilogram meters/second\nc. 6.3×10² kilogram meters/second\nd. 7.4×10² kilogram meters/second\ne. 8.5×10² kilogram meters/second

select the correct answer.\nrita is riding a 7.0 kilogram bike at a velocity of 15 meters/second. ritas mass is 42 kilograms. what is her momentum?\na. 1.0×10² kilogram meters/second\nb. 5.2×10² kilogram meters/second\nc. 6.3×10² kilogram meters/second\nd. 7.4×10² kilogram meters/second\ne. 8.5×10² kilogram meters/second

Answer

Explanation:

Step1: Calculate total mass

The total mass $m$ is the sum of Rita's mass and the bike's mass. So $m = 42\ \text{kg}+ 7.0\ \text{kg}=49\ \text{kg}$.

Step2: Use momentum formula

The momentum formula is $p = mv$, where $v = 15\ \text{m/s}$. Substitute $m = 49\ \text{kg}$ and $v = 15\ \text{m/s}$ into the formula: $p=49\times15\ \text{kg}\cdot\text{m/s}=735\ \text{kg}\cdot\text{m/s}$. In scientific - notation, $735 = 7.35\times 10^{2}\approx7.4\times 10^{2}\ \text{kg}\cdot\text{m/s}$.

Answer:

D. $7.4\times 10^{2}$ kilogram meters/second