The thin hoop of negligible mass and radius r = 605 mm contains a homogeneous semicylinder of mass m = 3.4 kg which is rigidly attached to the hoop and positioned such that its diametral face is vertical. the assembly is centered on the top of a cart of mass m = 15.9 kg which rolls freely on the horizontal surface. if the system is released from rest, determine the magnitude of the initial acceleration a of the cart and the magnitude of the angular acceleration α of the hoop and semicylinder. friction between the hoop and cart is suffi cient to prevent slip. motion takes place in the x-y plane. neglect the mass of the cart wheels and any friction in the wheel bearings.

Aplayground slide is 8.80 ft long and makes an angle of 25.0° with the horizontal. a 63.0-kg child, initially at the top, slides all the way down to the bottom of the slide. (a) choosing the bottom of the slide as the reference configuration, what is the system's potential energy when the child is at the top and at the bottom of the slide? what is the change in potential energy as the child slides from the top to the bottom of the slide? (include the sign of the value in your answer.)

Define the terms moral development and moral reasoning

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.