Answer:
68cm
Explanation:
You can solve this problem by using the momentum conservation and energy conservation. By using the conservation of the momentum you get

m: mass of the bullet
M: mass of the pendulum
v1: velocity of the bullet = 410m/s
v2: velocity of the pendulum =0m/s
v: velocity of both bullet ad pendulum joint
By replacing you can find v:

this value of v is used as the velocity of the total kinetic energy of the block of pendulum and bullet. This energy equals the potential energy for the maximum height reached by the block:

g: 9.8/s^2
h: height
By doing h the subject of the equation and replacing you obtain:

hence, the heigth is 68cm
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Answer:
Gain in capital = $ 70.72
Explanation:
Given:
- The price of stocks when purchased P_o = $ 224.84
- The price of stocks when sold P_s = $ 295.56
Find:
what would be your capital gain (loss) on the sale, ignoring commissions
Solution:
- The capital gain or loss on the selling of stocks stems from the difference of buying and selling value of stocks. The original price of stock was P_o and the selling price would be P_s. The difference would be:
capital gain = P_s - P_o
capital gain = $295.56 - $224.84
capital gain = $ 70.72
- Hence, there would be a gain in capital if sold today for about $ 70.72.