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Explanation & Answer
Attached.
1. If the two wagons have the same kinetic energy, then:
KE(blue)=KE(red)
1
1
𝑚𝑏 𝑣𝑏 2 = 𝑚𝑟 𝑣𝑟 2
2
2
Solve for the velocity of b:
𝑚𝑏 𝑣𝑏 2 = 𝑚𝑟 𝑣𝑟 2
𝑣𝑏 = √
𝑚𝑟 𝑣𝑟 2
𝑚𝑏
𝑚𝑟
𝑣𝑏 = 𝑣𝑟 √
𝑚𝑏
Since the coefficient of the velocity of red is greater than zero, the velocity of blue is
greater.
2. Use this equation, plugging in the respective variables:
𝐾𝐸 =
1
𝑚𝑣 2
2
1
𝑚 2
(500𝑘𝑔)
𝐾𝐸 =
(88.43 )
2
𝑠
KE=1954966.225 J
3.
Write down the givens:
M=3.67kg
H=4.98m
The equation we need is:
1
𝐾𝐸 = 𝑀𝑣 2
2
1
𝐾𝐸 = (3.67𝑘𝑔)(? )2
2
We don’t know the velocity when it str...