An artifact is found in a desert cave. the anthropologists who found this artifact would like to know its age. they find that the present activity of the artifact is 15 decays/s and that the mass of carbon in the artifact is 0.100 kg. what is the age of the artifact? be mindful of the units. remember that the fraction of radioactive carbon isotopes in a naturally-occuring sample of carbon is about 1.3×10−12. the question: what is the age of the artifact in years?

(age of artifact = # years)

The frequency of vibrations of a vibrating violin string is given by f = 1 2l t ρ where l is the length of the string, t is its tension, and ρ is its linear density.† (a) find the rate of change of the frequency with respect to the following. (i) the length (when t and ρ are constant) (ii) the tension (when l and ρ are constant) (iii) the linear density (when l and t are constant) (b) the pitch of a note (how high or low the note sounds) is determined by the frequency f. (the higher the frequency, the higher the pitch.) use the signs of the derivatives in part (a) to determine what happens to the pitch of a note for the following. (i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates df dl 0 and l is ⇒ f is ⇒ (ii) when the tension is increased by turning a tuning peg df dt 0 and t is ⇒ f is ⇒ (iii) when the linear density is increased by switching to another string df dρ 0 and ρ is ⇒ f is ⇒

Achlorine atom has 17 protons and 18 neutrons. what is its mass number? what is its atomic number?

Aball of mass 0.3kg is released from rest at a height of 8m.how fast is it going when it hits the ground? accleration due to gravity is g=9.8m/s