Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 75.0 N, the second a force of 90.0 N, friction is 12.0 N, and the mass of the third child plus wagon is 23.0 kg. (a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (b) Draw a free-body diagram, including all forces acting on the system. (c) Calculate the acceleration. (d) What would the acceleration be if friction were 15.0 N?
Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 75.0 N, the second a force of 90.0 N, friction is 12.0 N, and the mass of the third child plus wagon is 23.0 kg. (a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (b) Draw a free-body diagram, including all forces acting on the system. (c) Calculate the acceleration. (d) What would the acceleration be if friction were 15.0 N?
Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 75.0 N, the second a force of 90.0 N, friction is 12.0 N, and the mass of the third child plus wagon is 23.0 kg. (a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (b) Draw a free-body diagram, including all forces acting on the system. (c) Calculate the acceleration. (d) What would the acceleration be if friction were 15.0 N?
Answers with -1.828, -1.31 or 939.3 are not correct.
Three slits, each separated from its neighbor by d = 0.06 mm, are illuminated by a coherent light source of
wavelength 550 nm. The slits are extremely narrow. A screen is located L = 2.5 m from the slits. The
intensity on the centerline is 0.05 W. Consider a location on the screen x = 1.72 cm from the centerline.
a) Draw the phasors, according to the phasor model for the addition of harmonic waves, appropriate for this
location.
b) From the phasor diagram, calculate the intensity of light at this location.
A Jamin interferometer is a device for measuring or for comparing the indices of refraction of gases. A beam
of monochromatic light is split into two parts, each of which is directed along the axis of a separate cylindrical
tube before being recombined into a single beam that is viewed through a telescope. Suppose we are given the
following,
•
Length of each tube is L = 0.4 m.
• λ= 598 nm.
Both tubes are initially evacuated, and constructive interference is observed in the center of the field of view. As
air is slowly let into one of the tubes, the central field of view changes dark and back to bright a total of 198
times.
(a) What is the index of refraction for air?
(b) If the fringes can be counted to ±0.25 fringe, where one fringe is equivalent to one complete cycle of
intensity variation at the center of the field of view, to what accuracy can the index of refraction of air be
determined by this experiment?
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