]shows the potential energy of a 500 g particle as it moves along the x-axis. suppose the particle's mechanical energy is 12 j. a. where are the particle's turning points? b. what is the particle's speed when it is at x = 6.0 m? c. what is the particle's maximum speed? at what position or positions does this occur? d. write a description of the motion of the particle as it moves from the left turning point to the right turning point. e. suppose the particle's energy is lowered to 4.0 j. describe the possible motions.

Ablock of steel has a density of 0.29lbs per cubic inch. if the block has dimensions of 1 inch by 1 inch by 3 inches, what is its weight? a. 0.29lbs b. 0.58lbs c. 0.87lbs d. 1lbs

Engineers find a new metal that is stronger than steel but much lighter. this material is also significantly cheaper than what is currently used for most aircraft, available in large quantities, and easy to manufacture. the engineers are excited because this new material will lower the costs of buying and operating airplanes for companies. what is probably the best step for the engineers to make next?

During the experiment if you could triple the breakaway magnetic force with all other quantities left unchanged, what is the new value for the critical velocity if it was v0 (initial velocity), initially? (b) now if you halved the radius with all other quantities left unchanged, what is the new critical velocity if it was v0 (initial velocity), initially? (c) if during the experiment, critical velocity quadrupled with all other quantities left unchanged, what is the new breakaway force if its magnitude was initially f0,?