In proton-beam therapy, a high-energy beam of protons is fired at a tumor.  As  the protons stop in the tumor, their kinetic energy breaks apart the tumor’s DNA, thus killing the tumor cells. For one patient, it is desired to deposit 0.08 J of proton energy in the tumor. To create the proton beam, protons are accelerated from rest through a 8.0×103 kV potential difference. What is the total charge of the protons that must be fired at the tumor? 

What potential difference is needed to accelerate a He+ ion (charge +e, mass 4 u) from rest to a speed of 7.0 x 105 m/s? (mass of a proton = 1.67 x 10-27 kg, charge of electron = 1.6 x 10-19 C)

a) How long must a 0.64 mm diameter aluminum wire be to have a 0.60 A current when connected to the terminals of a 1.5 V flashlight battery? (Resistivity of aluminum = 2.8 x 10-8

a) How long must a 0.56 mm diameter aluminum wire be to have a 0.44 A current when connected to the terminals of a 1.5 V flashlight battery? (Resistivity of aluminum = 2.8 x 10-8

Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the answer as a decimal rounded to the hundredths place. 

Use the properties of logarithms to simplify: 

Solve the exponential equation. When necessary, use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.          

State the domain of the function.        

What is the role of the pigment molecules (such as chlorophyll) in photosynthesis?

What is the molecule that is considered cellular energy?