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Lakshya K.
Tutor for 2 years, IITB graduate
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Physics
TutorMe
Question:

We suspend a mass m = 5 kg from the ceiling using a string. What is the tension in the string?

Lakshya K.

Draw a simple picture (called a Free Body Diagram) Identify and draw all force vectors - Weight W, Tension T By balancing vertical forces we have: W=T Tension = mass * gravity = 5 * 10 = 50 N

Economics
TutorMe
Question:

If your monthly quantity demand function for a product is Qd = 10,000-80P, and your monthly quantity supply function for a product is Qs=20P, find the equilibrium point.

Lakshya K.

Qd=Qs -or- 10,000 – 80P = 20P Add 80P to both sides, then divide by 100 to get: 100 = P Which is our equilibrium price. Now to find equilibrium quantity we can plug our equilibrium price (100) into either our demand or supply function. If we plug it into our demand function we get: Qd= 10,000 – 80*100 = 2,000 If we plug it into our supply function we get: Qs = 20*100 = 2,000

Civil Engineering
TutorMe
Question:

If the spot speeds are 50, 40, 60, 54 and 45, then find the time mean speed and space mean speed.

Lakshya K.

Time mean speed vt is the average of spot speed. Therefore, vt = Σ(vi)/n = 49.8. Space mean speed is the harmonic mean of spot speed. Therefore, vs = n/Σ(1/vi) = 48.82.

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