On the following problems: 1) draw the ray diagram 2) describe the image 3) use the lens equation to calculate di 4) calculate m and hi

1) A 7.0 cm object is placed 10.0 cm from a convex lens with a focal point of 4.0 cm.

2) An 8.0 cm object is placed 10.0 cm from a convex lens with a focal point of 15.0 cm.

3) A 2.25 cm tall object is 13.0 cm to the left of a convex lens of 8.0 cm focal length.

4) A 10.0 cm object is placed 20.0 cm from a convex lens with a focal length of 10.0 cm.

5) A 9.0 cm object is placed 10.0 cm from a concave lens with a focal length of -5.0 cm.

If gases like carbon dioxide and methane make up less than 1% of the total atmosphere, why is it important for scientists to monitor changes in percentages of these gases?

What is the magnitude of the acceleration vector which causes a particle to move from velocity −5i−2j m/s to −6i+ 7j m/s in 8 seconds. answer in m/s.

Amerry-go-round of radius r, shown in the figure, is rotating at constant angular speed. the friction in its bearings is so small that it can be ignored. a sandbag of mass m is dropped onto the merry-go-round, at a position designated by r. the sandbag does not slip or roll upon contact with the merry-go-round. how would you rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-go-round from largest to smallest. a) m = 10kg, r = 0.25r b) m = 20kg, r = 0.25r c) m = 10kg, r = 0.50r d) m = 10kg, r = 1.0r e) m = 15kg, r = 0.75r f) m = 40kg, r = 0.25r