MCAT Question of the Day

Correct Answer: B.

Finitiating= ( us)N ; And Fmaintaining= ( uk)N

Fi– Fm= (us– uk)N = (0.50 – 0.20)(50 N) = 15 N

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Correct Answer: C.

FG earth = G mearthmbody/r^2

On the planet we get:
FG planet = G 9mearthmbody/3r^2 = FG earth
Since the force of gravity and the mass of the astronaut remain the same on both the planet and on earth, the acceleration due to gravity must also be the same, F/m = g = constant.

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Correct Answer: A. 3 m/s

Momentum is conserved. Since both carts come to rest the total momentum must be zero. If the two carts are labeled A and B then:

MaVa = MbVb
Vb = (30 kg)(5 m/s) / 50 kg = 3 m/s.

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Correct Answer: C. Inversely proportional to the square of the distance between them.

The Law of Universal Gravitation states that every point mass in the universe attracts every other point mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

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Correct Answer: B. 250 N.

The center of gravity occurs 4.0 m from the pivot point. At equilibrium:

(2.0 m)(500 N) = (4.0 m)(w)
w = ½ (500N) = 250 N

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Correct Answer: D. 90 cm³/s.

Q = Av = (3.0 cm²)(30 cm/s) = 90 cm³/s.

Fun Fact: That’s the amount of a soda can every 4 seconds!

Work is force times distance moved. A body held at a given height is not in motion, so work is no longer being performed on it.

The period, T, is equal to:
T = 2(pi) sqrt(L/g)

Thus, the period is directly proportional to the square root of the length. Any increase in L will produce an increase in T. The mass of the box does not influence the period.

60 W represents the power usage of the bulb. Power is the product of current and voltage. Thus:

The force is inversely proportional to the square of the distance between the point charges. Since the distance is doubled, the force must be quartered.