Tarzan tries to cross a river by swinging from one bank to the other on a vine that is 10.4 m long. his speed at the bottom of the swing, just as he clears the surface of the river, is 8.5 m/s. tarzan does not know that the vine has a breaking strength of 1.4 × 103 n. the acceleration of gravity is 9.81 m/s 2 . what is the largest mass tarzan can have and make it safely across the river? answer in units of kg.

Choose a synonym for the underlined homonym (a word with two or more meanings). i did not expect the boat to rock so much. a. boulder c. astound b. sway d. shock

Researchers conducted an experiment to identify the effects of three different hand sanitizers on the growth of bacteria. the researchers grew one type of bacteria in twenty-four identical covered petri dishes. then, they opened eighteen petri dishes and applied the three hand sanitizers to six petri dishes each. they left the remaining six petri dishes closed as a control group. when the researchers measured the growth of bacteria two days later, the six dishes that had no hand sanitizer showed the least amount of bacterial growth. the researchers concluded that not using any hand sanitizer would lead to the least bacterial growth. which statement best explains why the researchers’ conclusion was not justified? the experiment tested too many variables. the control group was not treated the same as the experimental group. the sample size of twenty-four petri dishes is not large enough. the single type of bacteria is not adequate to make any conclusions.

Aforce of 40n applied at the end of length 4m and diameter 2.00mm process and extension of 0.24mm, calculate the stress on the wire, strain in the wire and the young modulus for the material of the wire