A pendulum has a period of 42.4 s. If you were to transfer this pendulum to the surface of Mars (where g is 3.71 meters per second squared), what would the period (in seconds) be?

the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom.  What is the approximate density, in kilograms per cubic meter, of a nucleus?

(a) Compute the mass of the earth from knowledge of the earth-moon distance (3.84 * 10^8 m) and of the lunar period (27.3 days). (b) Then calculate the average density of the earth. The average radius of the earth is 6.38 * 10^6 m.

The rate of change of altitude in cm/s of a bird is given by a′(t)=650ln(t+3). What is the total change in altitude between t=3 and t=7? Round your answer to the nearest whole number and do not include units.

A high tech company uses a satellite to measure the size of features on the surface of the earth. They use this technology to measure a particular rectangular field and find it's length to be 444 ± 1.8 in meters and it's width to be 198 ± 1.63 in meters. They plan to report the perimeter (sum of two lengths and two widths) of the field as P± SP in units of yards. (1 meter = 1.094 yards) What is SP?

A rectangular box with mass 16.5 g is said to have dimensions of 2.8 cm x 1.7 cm * 0.4 cm . Calculate the density of this rectangular box, in g/cm^ 3 . The volume of a rectangular box is length times width times depth (I^ * W^ * d) .

You have a spring about which you know little, but with experimenting you discover that it extends 1 cm when a mass 41.15 is applied to it.  How far would it extend if a mass 79.49 were applied? Give your answer in meters, not cm.

Iron has a density of 7.874 g/cm3, and the mass of a iron atom is 9.27 x 10-26 kg. (a) If the atoms are spherical and tightly packed, what is the volume of a iron atom? m³ (b) What is the distance between the centers of adjacent atoms? m

A rectangle expands and contracts with time t (in seconds). Its area is given by A= 4 + sin t square meters. At t = 3.14 (pi), the following is observed. (1) the width of the rectangle expands at the rate of 0.1 meters per second. (2) The width of the rectangle is 1 meter long How fast is the height of the rectangle changing at t = 3.14 (pi)?

Schwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]