Chapter 4, Problem 4.25P

Q1: Find the volume of the object shown to the correct number of significant figures. ( 22.37 cm 9.10 cm 85.75 cm Q2: One Astronomical Unit (A.U.) is the average distance that the Earth orbits the Sun and is equal to 1.4960 × 1011 m. The Earth moves 2 A.U. in one year, what is this speed in SI units? ( Q3: Suppose a well known professor Raitman discovers Raitman's Law which states v = Br²/at², what are the SI units of the B parameter if r,v,a, and t are displacement, velocity, acceleration, and time, respectively? (

Because you are taking physics, your friend asks you to explain the detection of gravity waves that was made by LIGO in early 2016. (See the section that discusses LIGO.) To do this, you first explain about Einstein's notion of large masses, like those of stars, causing a curvature of spacetime. (See the section on general relativity.) To demonstrate, you put a bowling ball on your bed, so that it sinks downward and creates a deep depression in the mattress. Your sheet has a checked pattern that provides a nice coordinate system, as shown in the figure below. This is an example of a large mass (the bowling ball) creating a curvature of a flat, two-dimensional surface (the mattress) into a third dimension. (Spacetime is four dimensional, so its curvature is not easily visualized.) Then, you are going to amaze your friend by projecting a marble horizontally along a section of the sheet surface that is curved downward by the bowling ball so that the marble follows a circular path, as…

Q6: Water in a river 1.6 km wide flows at a speed of 6.0 km h−1. A captain attempts to cross the river in his ferry at right angles to the bank but by the time it has reached the opposite bank the captain awakes and notices that it is 1.0 km downstream. If the captain wishes to take his boat directly across, what angle upstream must he point the boat assuming the boat speed remains the same? ( Q7: A student whirls a red-brown rubber stopper of mass 50 g on the end of a nylon string in a horizontal clockwise circle of diameter 1.2 m (as seen from above) at a constant speed of 8 m s-1. From an instant when the stopper is moving in a northerly direction, find its change in velocity after moving round (a) one-half of a revolution; (b) one-quarter of a revolution; (c) one-tenth of a revolution.