Which of the following best defines mass?
a. the amount of matter in a substance.
b. the amount of water that a substance displaces.
c. the way a sample of matter fills a container.
d. how much space a sample of matter takes up.
which of the following best defines mass?
a. the amount of matter in a substance.
b. the amount of water that a substance displaces.
c. the way a sample of matter fills a container.
d. how much space a sample of matter takes up.

According to social exchange theory, altruistic behaviors benefit the individual who performs them.

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

Which basic property determines a colored light's placement on the spectrum of visible light? a. speed b. frequency c. amplitude d. velocity