Aperson on horseback is on a drawbridge which is at an angle θ = 20.0° above the horizontal, as shown in the figure. the center of mass of the person-horse system is d = 1.00 m from the end of the bridge. the bridge is ℓ = 6.91 m long and has a mass of 1,980 kg. a cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. the mass of person plus horse is 1,260 kg. assume the bridge is uniform. note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in webassign.)

What would be the strength of earth's gravitational field at a point where an 80.0 kg astronaut would experience a 80% reduction in weight

On mars a rock falls an unknown vertical distance from a resting position and lands in a crater. if it takes the rock 2.5 seconds to fall, how high is the cliff the rock fell from? mars' surface gravity is 3.8 m/s2. a. 9.5 m b. 11.9 m c. 15.2 m d. 23.8 m

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.