A 1.2 cm tall object is placed 4.0 cm from a double convex lens having a 12 cm focal length.
(a) Show your calculation of the image location.
(b) Explain why the image is real or virtual.
(c) Show your calculation of the image height.
(d) Explain why the image is upright or inverted.
(f) On graph paper, place the principle axis, lens, object, and
focal length to scale. Add three principle rays to the graph to locate and define the image.

A 2.0 cm tall object is placed 35 cm in front of a concave mirror of 21 cm focal length.
(a) Show your calculation of the image location.
(b) Explain why the image is real or virtual.
(c) Show your calculation of the image height.
(d) Explain why the image is upright or inverted.
(e) Show your complete graphical solution to this problem.
(f) On graph paper, place the principle axis, mirror, object, and
focal length to scale. Add three principle rays to the graph to locate and define the image.

A layer of water covers an unknown transparent material X. At the angles shown in the figure below, a ray of light travels from material X to water which has an index of refraction n = 1.33.
(a) Show your calculation of the index of refraction of the unknown material X.
Eventually the light ray will exit water into air, which has an index of refraction n = 1.00.
(b) Show your calculation of the angle at which the light ray will emerge into air.

Two polished surfaces (horizontal & vertical) are connected at a 900 angle, as shown in the figure below. Also, shown are two rays: an original ray that is incident on the horizontal surface and a reflected ray that is incident at the halfway point on the vertical surface.
(a) Show your calculation of the angle of incident for the ray incident on the vertical surface.
(b) Show your calculation of the angle of incident for the ray incident on the horizontal surface.

A cylindrical fishing reel has a mass of 1.29 kg
and a radius of 3.41 cm. A friction clutch
in the reel exerts a restraining torque of
1.11 N · m if a fish pulls on the line. The fisherman gets a bite, and the reel begins to spin
with an angular acceleration of 56.4 rad/(s^2)
.
What force does the fish exert on the line?
Answer in units of N.

Suppose the ends of the rail are rigidly
clamped at 7◦C to prevent expansion.
Calculate the thermal stress in the rail if
its temperature is raised to 31 ◦C. Young’s
modulus for steel is 20 × 1010 N/m2
.
Answer in units of N/m2.

Consider the following three displacements: A= 5m, 9"; B=5 m, 0°; C=5 m, -30°. (a) Make a rough plot of the three displacements and on the graph indicate the resultant graphically, (b) Write down the vectors in terms of (1,j) notations. (c) Find the magnitude and direction (R,0) for the resultant of the three vectors.

A crate is pushed along a floor with force of 450N. If frictional force is 120N and
gravitational force is 4000N, what is the net force on the crate?