14-7. As indicated by the derivation, the principle of work and energy is valid for observers in any inertial reference frame. Show that this is so, by considering the 10-kg block which rests on the smooth surface and is subjected to a horizontal force of 6 N. If observer A is in a fixed frame x, determine the final speed of the block if it has an initial speed of 5 m/s and travels 10 m, both directed to the right and measured from the fixed frame. Compare the result with that obtained by an observer B, attached to the x' axis and moving at a constant velocity of 2 m/s relative to A. Hint: The distance the block travels will first have to be computed for observer B before applying the principle of work and energy. A х 2 m/s 5 m/s 6 N. 10 m

14-7. As indicated by the derivation, the principle of work and energy is valid for observers in any inertial reference frame. Show that this is so, by considering the 10-kg block which rests on the smooth surface and is subjected to a horizontal force of 6 N. If observer A is in a fixed frame x, determine the final speed of the block if it has an initial speed of 5 m/s and travels 10 m, both directed to the right and measured from the fixed frame. Compare the result with that obtained by an observer B, attached to the x' axis and moving at a constant velocity of 2 m/s relative to A. Hint: The distance the block travels will first have to be computed for observer B before applying the principle of work and energy. A х 2 m/s 5 m/s 6 N. 10 m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

1) Calculate the interval As 2 between two events with coordinates (x1 = 50 m, y1 = 0, z1 = 0, t1 = 1 us) and (x2 = 120 m, y2 = 0, z2 = 0, t2 = 1.2 µs) in an inertial frame S. 2) Now transform the coordinates of the events into the S0 frame, which is travelling at 0.6c along the x-axis in a positive direction with respect to the frame S. Hence verify that the spacetime interval is invariant.
(a) A person's "resting" heart rate is his or her normal heart rate measured while sitting still (and long after doing anything physically exerting). A nurse on Earth measures the resting heart rate of a patient as 76.0 beats/min. Imagine the patient travels aboard a space vessel moving with a constant speed of 0.97c with respect to the Earth. What would be the patient's resting heart rate (in beats/min) as measured by someone else aboard the vessel? (b) Imagine an observer on Earth could measure the resting heart rate of the patient traveling aboard the space vessel. What rate (in beats/min) would the observer on Earth measure?
Nilo
Consider a cosmic ray colliding with a nucleus in the Earth's upper atmosphere that produces a muon which has a velocity v = 0.916c. The muon then travels at constant velocity and lives 1.52 µs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.) (a) How far (in km) does the muon in travel according to an Earth-bound observer? (b) How far (in km) does it travel as viewed by an observer moving with it? Base your calculation on its velocity relative to the Earth and the time it lives (proper time).
A rocket measures 100 m long in its own frame (S') and is travelling at 0.995c relative to a frame S. At the tail of the rocket, a laser sends out a pulse of light which is reflected by a mirror at the nose of the rocket. (a) At what time after emission, measured in S', does the light pulse arrive back at the tail of the rocket? (b) At what time after emission, measured in S, does the light pulse arrive back at the tail of the rocket? (c) What is the spatial distance, measured in S, between the emis- sion of the pulse and its arrival back at the tail of the rocket? (d) At what time after emission, measured in S, does the light pulse hit the mirror? (e) What is the spatial distance, measured in S, between the emis- sion of the pulse and its hitting the mirror? (f) Can you conclude from your answers that the light pulse travelled at a different speed, as seen in S, on its way to the mirror than on the way back? If not, explain your results
In my inertial frame of reference S, event A occurs before event B. I measure these events to be separated by a time interval ∆tAB and a distance ∆xAB. Suppose A and B both occur on the x-axis (i.e., y = z = 0) in my frame S. Consider an inertial frame S′ moving with velocity ⃗v = v x^ relative to my frame. Under what conditions would the two events be simultaneous in S′? Note-Answer must not have any other unknown variable
Imagine that the entire Sun collapses to a sphere of radius R g such that the work required to remove a small mass m from the surface would be equal to its rest energy mc 2. This radius is called the gravitational radius for the Sun. Find R g . (It is believed that the ultimate fate of very massive stars is to collapse beyond their gravitational radii into black holes.)
Calculate the interval ∆s2 between two events with coordinates ( x1 = 50 m, y1 = 0, z1 = 0,t1 = 1 µs) and (x2 = 120 m, y2 = 0, z2 = 0, t2 = 1.2 µs) in an inertial frame S. b) Now transform the coordinates of the events into the S'frame, which is travelling at 0.6calong the x-axis in a positive direction with respect to the frame S. Hence verify that thespacetime interval is invariant.
1) A chaser vehicle in a circular orbit of radius 8590 km lags 2 degrees behind a target vehicle which is in a coplanar circular orbit of radius 8600 km. a) Compute the relative position and velocity of the chaser in the CW frame. b) Determine the chaser’s relative position and velocity components 30 minutes later. c) Compute the total velocity increment required for a 30 minute, 2-impulse rendezvous maneuver starting from the initial state given in part (a).