In the produce section of a supermarket, five pears are placed on a spring scale

Question

In the produce section of a supermarket, five pears are placed on a spring scale. The placement of the pears stretches the spring and causes the dial to move from zero to a reading of 2.0 kg. If the spring constant is 450 N/m, what is the displacement of the spring due to the weight of the pears? 0.0044 m 0.0088 m 0.018 m 0.044 m 0.088 m When a force of 19 N is applied to a spring, it elongates 0.085 m. Determine the period of oscillation of a 4.0-kg object suspended from this spring. 0.8 s 1.2s 3.1 s 4.1 s 6.3s The density of mercury is 1.36 Times 10^4 kg/m^3. What is the mass of a 2.16 Times 10^-4 -m^3 sample of mercury? 0.0343 kg 0.002 94 kg 2.94 kg 5.44 kg 6.29 kg What is the wavelength of a wave with a speed of 9.0 m/s and a period of 0.33 s? 0.33m 1.5 m 3.0 m 13m 27 m A balloon inflated with helium gas (density = 0.2 kg/m^3) has a volume of 6 Times 10^-3 m^3. If the density of air is 1.3 kg/m^3, what is the buoyant force exerted on the balloon? 0.01 N 0.08 N 0.8 N 1.3 N 7.8 N A 2-kg block displaces 10 kg of water when it is held fully immersed. The object is then tied down, and it displaces 5 kg of water. What is the tension in the string? 10 N 20 N 30 N 70 N 100 N A wave has a wavelength of 0.53 m and a speed of 31 m/s. What is the frequency of this wave? 58 Hz 48 Hz 38 Hz 68 Hz 78 Hz

Explanation / Answer

remember that we can only answer 4 subquestions at a time so i'm picking 4

31) v=Lf ----> f=v/L=31/0.53=58.49 Hz (option A)

28) v=Lf -----> L=v/f=9/0.33=27.27 m (E)

27) rho=m/V----> m=rho*V=1.36*10^4*2.16*10^-4=2.9376 kg (C)

25) F=kx ----> mg=kx-----> x=mg/k=2*9.8/450

x=0.0435 m (D)

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