Question

the red sled started at a height of 50.0 m and the blue sled started at a height of 25.0 m. the image below was taken right before the two sleds crashed into each other. use the image below to answer the questions. round all numbers to the nearest whole number.
height: 0.0 m
height: 0.0 m
red sled mass 100 kg
blue sled mass 180 kg
red sled speed
blue sled speed
sleds stick together
sleds bounce
31.30 m/s
22.14 m/s
the momentum of the red sled is kg m/s
the momentum of the blue sled is kg m/s
the sled will win the sled war
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Explanation:

Step1: Recall momentum formula

Momentum $p = mv$, where $m$ is mass and $v$ is velocity.

Step2: Calculate red - sled momentum

For the red sled, $m_{red}=100$ kg and $v_{red}=31.30$ m/s. So $p_{red}=m_{red}v_{red}=100\times31.30 = 3130$ kg m/s.

Step3: Calculate blue - sled momentum

For the blue sled, $m_{blue}=180$ kg and $v_{blue}=22.14$ m/s. So $p_{blue}=m_{blue}v_{blue}=180\times22.14=3985.2\approx3985$ kg m/s.

Step4: Determine the winner

Since $p_{blue}>p_{red}$, the blue sled will win the sled war.

Answer:

The momentum of the red sled is 3130 kg m/s.
The momentum of the blue sled is 3985 kg m/s.
The blue sled will win the sled war.