Category: General Physics
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What is the Amplitude of Oscillation?
A passenger car traveling down a rough road bounces up and down at 1.5 Hz with a maximum vertical acceleration of 0.30 m/s2 both typical values. What is the amplitude of the oscillation? F= 1.5 Hz a= .30m/s2 amax = (2π f)2 x A 0.30m/s2 = (2π x 2.5)2 x A A = 0.30m/s2/(2π x 2.5)2 = .003377 m = .3377 cm…
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What is the Spring Constant?
A spring is hanging from the ceiling. Attaching a 600 g mass to the spring causes it to stretch 18.0 cm in order to come to equilibrium. What is the spring constant? Known variables: m=600g g= 9.81 ΔL = 18cm k = mg/ΔL =(.6)(9.8 m/s2)/.18 = 3.27 N/m From equilibrium, the mass is pulled down 10 cm…
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Determine the Maximum Speed
A 504 g mass oscillates with an amplitude of 13.0 cm on a spring whose spring constant is 25.0 N/m. Known variables: m = .504kg k= 25 N/m 1/2π √25N/m / .504kg) = .89 s Determine the maximum speed. F = 1/.89 =1.12 Vmax= 2π fA 2 x π x 1.12 x .13 =.9148 =.916 Determine the total energy. =1/2…
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How Long is the Chain?
It is said that Galileo discovered a basic principle of the pendulum-that the period is independent of the amplitude-by using his pulse to time the period of swinging lamps in the cathedral as they swayed in the breeze. Suppose that one oscillation of a swinging lamp takes 5.5s How long is the lamp chain? 2π√(L/G)…
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How Long Must You Hang On?
You and your friends find a rope that hangs down 19 m from a high tree branch right at the edge of a wide river. You find that you can run, grab the rope, and swing out over the river. You run at 2.0 m/s and grab the rope, launching yourself out over the river. How long must…
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At What Speed is the Kinetic Energy the Same?
At what speed does a 1300 kg compact car have the same kinetic energy as a 1.8×104kg truck going 22 km/hr? Known variables: mass (m1): 1300kg v2=22km/hr m2= 1.8e4 1/2mv2 = 1/2mv2 (1300kg)(?)2 = (1.8e4)(222) (?)2=8712000/1300 Solve for the Unknown (?)2 = 6701.53 √6701.53 Vc= 82 km/hr
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How much Work is Done?
The two ropes shown in the bird’s-eye view of the figure are used to drag a crate 3.0 m across the floor. How much work is done by each of the three forces?
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Double Kinetic Energy
A car is traveling at 15 m/s 1) How fast would the car need to go to double its kinetic energy? Kinetic Energy(KE) = 1/2 m V2 The first part (1/2 m) doesn’t change, you need a new value for V such that V(new)2 = 2 x V(old)2 V(new) = (2 x 152) 1/2 V(new) = 4501/2…
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Gravitational Potential Energy
A 67 kg bike racer climbs a 1250 m-long section of road that has a slope of 4.3 By how much does his gravitational potential energy change during this climb? Since the biker starts on level ground, initial PE=0J The angle(θ) and hypotenuse length(h) given, we can calculate height. ΔU=mgh First is to find the height. The angle is given…