A spring has an unstretched length of 20 cm. A 100 g mass hanging from the spring stretches it to an equilibrium length of 30 cm. a. Suppose the mass is pulled down to where the spring’s length is 40 cm. When it is released, it begins to oscillate. What is the amplitude of the oscillation? A. 5.0 cm B. 10 cm C. 20 cm D. 40 cm b. For the data given above, what is the frequency of the oscillation? A. 0.10 Hz B. 0.62 Hz C.1.6 Hz D. 10Hz c. Suppose this experiment were done on the moon, where the free-fall acceleration is approximately 1/6 of that on the earth. How would this change the frequency of the oscillation? A. The frequency would decrease. B. The frequency would increase. C. The frequency would stay the same.
A spring has an unstretched length of 20 cm. A 100 g mass hanging from the spring stretches it to an equilibrium length of 30 cm. a. Suppose the mass is pulled down to where the spring’s length is 40 cm. When it is released, it begins to oscillate. What is the amplitude of the oscillation? A. 5.0 cm B. 10 cm C. 20 cm D. 40 cm b. For the data given above, what is the frequency of the oscillation? A. 0.10 Hz B. 0.62 Hz C.1.6 Hz D. 10Hz c. Suppose this experiment were done on the moon, where the free-fall acceleration is approximately 1/6 of that on the earth. How would this change the frequency of the oscillation? A. The frequency would decrease. B. The frequency would increase. C. The frequency would stay the same.
A spring has an unstretched length of 20 cm. A 100 g mass hanging from the spring stretches it to an equilibrium length of 30 cm.
a. Suppose the mass is pulled down to where the spring’s length is 40 cm. When it is released, it begins to oscillate. What is the amplitude of the oscillation?
A. 5.0 cm
B. 10 cm
C. 20 cm
D. 40 cm
b. For the data given above, what is the frequency of the oscillation?
A. 0.10 Hz
B. 0.62 Hz
C.1.6 Hz
D. 10Hz
c. Suppose this experiment were done on the moon, where the free-fall acceleration is approximately 1/6 of that on the earth. How would this change the frequency of the oscillation?
Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
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