MCAT Question of the Day

Correct Answer: B. 4.9 m/s²

The acceleration imparted by the force of gravity to an object on africtionless inclined plane is a = g sin (theta). Therefore, if theta = 30, we find: a = g*sin(theta) = 9.8*sin(30) = 4.9 m/s².

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Correct Answer: D. 3400 Hz

Using the equation (lambda)*(f) = v, we find that: f = v/(lambda) = (340 m/s) / (0.1 m) = 3400 Hz.

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Correct Answer:C.Parabolic

If air resistance is neglected, the trajectories of all projectiles fired near the surface of the earth follow a parabolic path because the horizontal velocity is constant while the vertical acceleration is also constant.

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Correct Answer: B. E points to the right.

By convention, electric field vectors always point away from positive source charges and toward negative ones. Thus, in the region between the given point charges, the electric field points to the right: away from the positive and toward the negative.

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Correct Answer: B. 10 N

What are the forces on the book? The weight, 40 N, and the normal force, N are downward forces, and the only upward force is our 50 N push. Since the bloc k is not accelerating vertically, the net vertical force must be zero. Therefore, 40 + N must be 50, which means N = 10 N.

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Correct Answer: A. 0 N

Since the velocity is constant, the acceleration a is zero, so using F = ma, we know that the net force must be zero as well.

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Correct Answer: C. 141 V.

By definition, Vrms = Vmax / sqrt(2). Therefore, Vmax = sqrt(2)*Vrms = (1.41)(100V) = 141 V.

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Correct Answer: B. 0.5 m.

Once the ninja star comes to rest at the end of the spring, the upward force by the spring must balance the downward force of gravity. That is, kx = mg. Solving for x yields x = mg/k (1)(10)/(20) = 0.5 m.

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Correct Answer: D. The acceleration is not zero and is always directed toward the center of the path.

Choice A is false because the object’s direction of motion is always changing, and choice B is false because the velocity is not constant. The acceleration, termed centripetal, points toward the center of the circular path.

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Correct Answer: B. F

Since the GameCube is totally submerged at both depths, the buoyant force, B = pVg, is the same at both depths.

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