A geological field team is trying to remotely place a sensor in the caldera of a
ID: 2042676 • Letter: A
Question
A geological field team is trying to remotely place a sensor in the caldera of a semi-active
volcano, the caldera being too hot and noxious for people to venture onto. Their launch site is
on the rim, 43 m above the level floor of the caldera. The first sensor was launched at a
speed of 23 m/s, 60.0° above the horizontal. According to the last readings taken before it
was destroyed, it hit the surface of the caldera at 37 m/s, which was apparently too much for it
to take. Also, it landed 65 m from the rim, and a location closer to the center (farther from the
rim) would be preferable.
For the second sensor, the team decides to keep the launch speed at 23 m/s, but lower the
launch angle to 45°. Their reasoning is that, since the second projectile won't rise as high as
the first, its impact speed will be slower, allowing it to survive. Additionally, since the launch
angle is closer to horizontal, the sensor will travel farther horizontally before impact, thus
getting closer to the center of the caldera.
Question: will the plan for the second launch work, or does it need to be revised? Prove your
conclusion by calculation.
Explanation / Answer
4. Assume that there are two banks, A and Z, in the banking system. Bank A receives a primary deposit of $600,000, and it must keep reserves of 12 percent against deposits. Bank A makes a loan in the amount that can be safely lent a.Show what Bank A’s balance sheet of assets and liabilities would look like immediately after the loan. b. Assume that a check is drawn against the primary deposit made in Bank A and is deposited in Bank Z. Show what the balance sheet of assets and liabilities would look like for each of the two banks after the transaction has taken place. c. Now assume that Bank Z makes a loan in the amount that can be safely lent against the funds deposited in its bank from the transaction described in (b). Show what Bank Z’s balance sheet of assets and liabilities would look like after the loan.
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