7) A particle of mass 0.500 kg moves along the x-axiswith a potential energy whose dependence on xis shownbelow. (a) What is the force on the particle atx= 2.00, 5.00, 8.00, and 12.0m? (b) If the totalmechanicalenergy E of the particle is −6.00J, what are the minimumand maximum positions of the particle? (c) What are thesepositions if E = 2.00J? (d) If E = 16.0J , what are thespeeds of the particle at the positions listed in part (a)?

You are a sales representative for a company that makes a new alternate fuel for vehicles. you have prepared a presentation for the environmental engineers to sell your new product. what question do you expect the audience to ask regarding whether the new fuel will cause less damage to the environment? a. do we have to change any parts of the vehicle to use this alternate fuel? b. will the vehicles get better fuel mileage with the alternate fuel? c. how much greenhouse gas does your fuel produce compared with current fuel sources? d. is the alternate fuel more expensive than fossil fuel?

Four point charges each having charge q are located at the corners of a square having sides of length a. find symbolic expressions for the following. (a) the total electric potential at the center of the square due to the four charges (use any variable or symbol stated above along with the following as necessary: ke.) vtotal= (b) the work required to bring a fifth charge p from infinity to the center of the square (use any variable or symbol stated above along with the following as necessary: w=

Which missing item would complete this alpha decay reaction ? > 228/88ra + 4/2he a.224/96 rn b. 232/90 th c. 230/92 u d. 235/92 u