What is the mass of an object on Mercury, if it weighs 784 N on Earth\'s surface

Question

What is the mass of an object on Mercury, if it weighs 784 N on Earth's surface? (A) 80.0 kg (B) 48.0 kg (C) 118 kg. (D) 26.0 kg (E) There is not enough information to calculate the mass. A heavy block is suspended from a ceiling using pulleys in three different ways, as shown in the drawings. Rank the tension in the rope that passes over the pulleys in ascending order (the smallest first). (A) B, A, C (B) C, A, B (C) C, B, A. (D) A, B, C (E) B, C, A. Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. constant of spring 1 is 161 N/m. The motion of the object on spring 1 has 4 times the amplitude as the motion of the object on spring 2. The magnitude of the maximum velocity is the same in each case. Find the spring constant of spring 2. (A) 161 N/m (B) 2580 N/m (C) 140 N/m (D) 382 N/m (E) 5020 N/m

Explanation / Answer

27 )

Vmax = A*w

A1 = 4A2

V1max =V2max

A1*w1 = A2*w2

we know

w = sqrt(k/m)

4A2*sqrt(k1/m) = A2*sqrt(k2/m)

4*sqrt(161) = sqrt(k2)

k2 = 2576 = 2580 N/m

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