The existence of the dwarf planet pluto was proposed based on irregularities in neptune's orbit. pluto was subsequently discovered near its predicted position. but it now appears the discovery was fortuitous, because pluto is small and the irregularities in neptune's orbit were not well known. to illustrate that pluto has a minor effect on the orbit of neptune, calculate the acceleration due to gravity at neptune, in m/s2, due to pluto when they are 4.50x1012 m apart, as they are at present. the mass of pluto is 1.4x1022 kg.
group of answer choices
4.6x10-14
5.7x10-15
6.8x10-16
7.9x10-17

Imagine you are riding on a yacht in the ocean and traveling at 20 mph. you then hit a golf ball at 100 mph from the deck of the yacht. you see the ball move away from you at 100mph, while a person standing on a near by beach would observe your golf ball traveling at 120 mph (20 mph + 100 mph). now imagine you are aboard the hermes spacecraft traveling at 0.1c (1/10 the speed of light) past mars and shine a laser from the front of the ship. you would see the light traveling at c (the speed of light) away from your ship. according to einstein’s special relativity, how fast will a person on mars observe the light to be traveling? a) 0.1c (1/10 the speed of light) b) c (the speed of light) c)1.1c (c+0.1c)

Light that is polarized along the vertical direction is incident on a sheet of polarizing material. only 96% of the intensity of the light passes through the sheet and strikes a second sheet of polarizing material. no light passes through the second sheet. what angle does the transmission axis of the second sheet make with the vertical?

A10 kg box initially at rest is pulled 18 meters across a horizontal, frictionless surface by a 40 n force. what is the block’s final velocity over the 18 meters?