QUESTION IMAGE
Question
use the image below to answer the question
height 25.0 m
height 25.0 m
red sled mass 100 kg
blue sled mass 140 kg
the sled will win the sled war because it has more
word bank:
height velocity blue momentum red displacement
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Step1: Apply conservation of mechanical - energy
By conservation of mechanical energy ($mgh=\frac{1}{2}mv^{2}$), the velocity of the sleds at the bottom of the hill is $v = \sqrt{2gh}$. Since both sleds start from the same height ($h = 25.0m$), their velocities at the bottom are the same.
Step2: Recall the formula for momentum
The formula for momentum is $p=mv$. The red sled has mass $m_{r}=100kg$ and the blue sled has mass $m_{b}=140kg$. Since $v$ is the same for both and $m_{b}>m_{r}$, the blue sled has more momentum.
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Blue, momentum