Physics Laboratory Manual
4th Edition
ISBN: 9781133950639
Author: David Loyd
Publisher: Cengage Learning
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Chapter 20A, Problem 4PLA
To determine
The displacement of the end of the spring due to the weight.
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The potential energy of an object attached to a spring is 2.80 J. If the amplitude A of the simple harmonic motion is 17.0 cm and the spring constant k is 277 N/m, what is the kinetic energy of the mass-spring system when the potential energy is 2.80 J? What is the magnitude of the largest force F(spring,max) that the object experiences? Show your work.
A spring with a spring constant of 1.7 N/cm is attached to a 3.2 kg mass. If you were to pull and release the mass, what would be the frequency of the system, in Hz? Be clear and show all your work. (handwritten)
A mass-spring system with a 2kg mass oscillates with a period of 1 second. If the 2kg mass is replaced with a 4kg mass, what will be the new period of oscillation?
Please show all work.
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Physics Laboratory Manual
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- Use the worked example above to help you solve this problem. A block of mass m1 = 1.72 kg, initially moving to the right with a velocity of +3.95 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.01 kg moving to the left with a velocity of −2.83 m/s. The spring has a spring constant of 6.33 x102 N/m. (a) Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s. (Indicate the direction with the sign of your answer.) (b) Find the compression of the spring.arrow_forwardIf you make a spring stiffer does the angular frequency of oscillation, increase, decrease, or stays the same. Please show your work.arrow_forwardA steel cable lifting a heavy box stretches by ∆L. In order for the cable to stretch by only half of ∆L, by about what factor must its diameter change? Assume the cable is cylindrical. Show your work.arrow_forward
- The initial swing of a pendulum has an arc length of 30 inches. If the arc length loses 3% with each swing, when will the length of the arc be less than half of the original length? Show all your work:arrow_forwardA small ball is attached to a thread that has a negligible mass and is hung from a support. When the ball is pulled back a small distance and released, it swings in simple harmonic motion with a period of 4.0 s. What is the period of the pendulum after the length of the thread is increased by a factor of 9.0? The ball is released the same way each time, and the thread does not stretch. Please show your work.arrow_forwardWe have two different vertical mass-spring systems, as shown in the figure below.(a). What is the frequency of system A? What is the first time at which the mass has maximum speed whiletraveling in the upward direction?(b). What is the period of system B? What is the first time at which the energy is entirely potential?(c). Given that the mass is the same in both systems, what is the ratio of their spring constants? That iswhat is kA/kB?arrow_forward
- A block sliding along a frictionless, horizontal surface with a speed of 0.6 m/s collides with a spring attached to a wall. The spring is compressed 19.0 cm before the block is stopped. If the same block were to collide with the spring again while having a speed of 2.6 m/s, what would the spring's compression be before stopping the block this time, in centimetres? Be clear and show all your work. (HANDWRITTEN)arrow_forwardWhat are the frequency and angular frequency of a pendulum with period 0.5 seconds? show all workarrow_forwardA toy uses a spring to launch projectiles. If the spring has a spring constant of 80 N/m and is compressed a distance of 0.04 m, with what velocity could it launch a 0.003-kilogram projectile? Show your work.arrow_forward
- What is the frequency of a simple pendulum that makes 180 complete cycles in 50 seconds? What is the length of the pendulum? Show your formula transformation.arrow_forwardA block of mass m = 0.52 kg attached to a spring with force constant 143 N/m is free to move on a frictionless, horizontal surface as in the figure below. The block is released from rest after the spring is stretched a distance A = 0.13 m. Refer to attached Image. (a) At that instant, find the force on the block. (b) At that instant, find its acceleration.arrow_forwardPlease help me answer this problem and thoroughly explain the formulas behind each step, especially those relating to the spring and equilibrium. Thank you!arrow_forward
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