An astronaut wants to determine the mass of objects she finds in space. On Earth she...
An astronaut wants to determine the mass of objects she finds in space. On Earth she chooses a spring and attaches a rock to it that weighs 20 N. After placing the rock on a horizontal table, and attaching the spring horizontally to a fixed point, she stretches the rock 2 cm from equilibrium, in the positive direction. She then releases it from rest. After 30 s has passed, she finds that the rock has gone through 10 cycles and is at a new positive maximum value, which is 1 cm from equilibrium.
(a) What is the time constant of the decay?
(b) Find a function that describes the motion, including damping, of the spring and mass system that is only a function of time. Assume time starts when the mass is released.
(c) Later, during the return from a mission on Mars (no gravity), she wants to know the mass of an unknown rock she’s found. This rock is attached to the same spring, which is now attached to the wall of the spacecraft. The mass is disturbed from equilibrium and the period of the resulting oscillations is found to be 2 s. What is the ratio of the mass of the new rock to the mass of the rock found on Earth?
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An astronaut wants to determine the mass of objects she finds in
space. On Earth she...
An astronaut in her space suit has a total mass of 87.0 kg, including suit and...
An astronaut in her space suit has a total mass of 87.0 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she’s on a spacewalk. Initially at rest with respect to her spacecraft, she throws her 12.0-kg oxygen tank away from her spacecraft with a speed of 8.00 m/s to propel herself back toward it, as shown in Figure 1. Determine (a) her speed after throwing the oxygen tank away and (b) the...
Experiment 1 Rupert finds that if he attaches a 430.0 gram mass to the hook, and then...
Experiment 1 Rupert finds that if he attaches a 430.0 gram mass to the hook, and then very slowly lowers the mass with his hand until the force on the mass by the spring is as large as the weight of the mass, that the spring stretches by 39.0 cm A Second Experiment with the Vertical Mass-Spring System Rupert now plans to try a second experiment. He will use the same mass, and once again the experiment will begin with the mass...
1. a) A driver is sitting in a truck whose total mass (including driver) is 4500...
1. a) A driver is sitting in a truck whose total mass (including driver) is 4500 kg. In starting from rest, the truck's engine exerts a force through its tires) of 16,200 N. What is the truck's acceleration ? Acceleration The driver's mass is 60 kg. Assuming the driver is firmly attached to her seat, what force must the seal produce to cause her to move with (inside) the truck during this time? Force (driver) 2. a) Two blocks on...
please solve both. thank you! A mass of 1.25 kg stretches a spring 0.06 m. The...
please solve both. thank
you!
A mass of 1.25 kg stretches a spring 0.06 m. The mass is in a medium that exerts a viscous resistance of 56 N when the mass has a velocity of 2 . The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.03 m and released. Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive...
1. A cylinder of mass m, height h and radius r floats partially submerged in a...
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Please do not answer unless you are sure it is correct. thank you. " A mass...
Please do not answer unless you are sure it is correct. thank
you.
" A mass hanging from a vertical spring is somewhat more complicated than a mass attached to a horizontal spring because the gravitational force acts along the direction of motion. Therefore, the restoring force of the oscillations is not provided by the spring force alone, but by the net force resulting from both the spring force and the gravitational force. Ultimately, however, the physical quantities of motion...
1. An unknown mass (mı) on a rough horizontal surface is attached by a wire that passes over a massless, frictionless pulley to a 2.50kg mass (m2) as shown below. The bottom of the hanging mass is 1....
1. An unknown mass (mı) on a rough horizontal surface is attached by a wire that passes over a massless, frictionless pulley to a 2.50kg mass (m2) as shown below. The bottom of the hanging mass is 1.50m above the floor. The system is released from rest at t-0s and the 2.50kg mass strikes the floor 0.82s later. The system is now returned to its initial position and a 1.20kg mass is placed on top of the block of mass...
please give me answers to all the questions and i would really appreciate that thank you...
please give me answers to all the questions and i would really
appreciate that
thank you
6. -0 points My Notes O Ask Your Teache A 10.1 kg object oscillates at the end of a vertical spring that has a spring constant of 2.20 x 104 N/m. The effect of air resistance is represented by the damping coefficient b = 3.00 N-s/m (a) Calculate the frequency of the dampened oscillation. H2 (b) By what percentage does the amplitude of the...
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1. Pendulum clocks are very important for the history of exploration. Accurate time was the best way to determine one's longitude, since the time of sunrise or sunset depends sensitively on your longitude. In this regard, the great enemy of accuracy was thermal expansion of the pendulum used for the chronometer. We are considering a large mass attached at the end of a brass rod. The mass at the end is much greater than the mass of the rod, so we...
Chapter: Oscillations Some useful equations are: x = Acos (ex+) v = wÅ 4, = 04...
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1. a) A driver is sitting in a truck whose total mass (including driver) is 4500 kg. In starting from rest, the truck's engine exerts a force through its tires) of 16,200 N. What is the truck's acceleration ? Acceleration The driver's mass is 60 kg. Assuming the driver is firmly attached to her seat, what force must the seal produce to cause her to move with (inside) the truck during this time? Force (driver) 2. a) Two blocks on...
please solve both. thank
you!
A mass of 1.25 kg stretches a spring 0.06 m. The mass is in a medium that exerts a viscous resistance of 56 N when the mass has a velocity of 2 . The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.03 m and released. Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive...
Please do not answer unless you are sure it is correct. thank
you.
" A mass hanging from a vertical spring is somewhat more complicated than a mass attached to a horizontal spring because the gravitational force acts along the direction of motion. Therefore, the restoring force of the oscillations is not provided by the spring force alone, but by the net force resulting from both the spring force and the gravitational force. Ultimately, however, the physical quantities of motion...
1. An unknown mass (mı) on a rough horizontal surface is attached by a wire that passes over a massless, frictionless pulley to a 2.50kg mass (m2) as shown below. The bottom of the hanging mass is 1.50m above the floor. The system is released from rest at t-0s and the 2.50kg mass strikes the floor 0.82s later. The system is now returned to its initial position and a 1.20kg mass is placed on top of the block of mass...
please give me answers to all the questions and i would really
appreciate that
thank you
6. -0 points My Notes O Ask Your Teache A 10.1 kg object oscillates at the end of a vertical spring that has a spring constant of 2.20 x 104 N/m. The effect of air resistance is represented by the damping coefficient b = 3.00 N-s/m (a) Calculate the frequency of the dampened oscillation. H2 (b) By what percentage does the amplitude of the...
Chapter: Oscillations Some useful equations are: x = Acos (ex+) v = wÅ 4, = 04 E=kł/2 = m = k/m erg/L = gLII ==2x/T 2 1. 4. Two identical mass-springs are displaced different amounts from equilibrium & then released at different times. Which characteristic values are the same for both systems? A. Periods B. Amplitudes C. Phases D. Forces What happens to the period of a pendulum if its mass is doubled? A. Period doubles B. Period is halved...
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