A mass of 39g is placed on the end of a 4.1cm vertical spring. This causes the spring to extend to 8.4cm. If we then change the mass to 263g, what is the measured length of the spring (in m)?

The dot product of vectors A and B is 6 sq. meters. If B = 3.5i + 5.1j – 3k meters and the angle between A and B is 63 degrees, what is the magnitude of vector A? Express your answers in meters and in two decimal places.

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 person walks 4 m to the park, then he walks 8200 km in the park then he returns back to home after grocery shopping and covers 720 cm, how much total distance that person covers in m?

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) .

The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes:     Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass:   g What is the value, in dollars, of the same stack of dimes? value:   dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:

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.

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]

What was the error in the following measurements? Mass (kg) Volume(m^3) Density (kg/m^3) 1.16 0.001 1160 2.46 0.0023 1069.565217 5.16 0.005 1032 10.16 0.01 1016 13.66 0.0135 1011.851852         There was no error in measurement     There was a random error in the measurement of volume.     The mass was measured with a systematic error      Human error