In the design of a timing mechanism, the motion of pin p in the fixed circular slot is controlled by the guide a, which is being elevated by its lead screw. guide a starts from rest with pin p at the lowest point in the circular slot, and accelerates upward at a constant rate until it reaches a speed of 60 mm/s at the halfway point of its vertical displacement. the guide then decelerates at a constant rate and comes to a stop with pin p at the uppermost point in the circular slot. determine the n- and t-components of acceleration of pin p once the pin has traveled 30° around the slot from the starting position.

How does the amount of energy required to hold each proton and neutron in the nucleus compare to the energy released when they are removed?

Aheat engine running backward is called a refrigerator if its purpose is to extract heat from a cold reservoir. the same engine running backward is called a heat pump if its purpose is to exhaust warm air into the hot reservoir. heat pumps are widely used for home heating. you can think of a heat pump as a refrigerator that is cooling the already cold outdoors and, with its exhaust heat qh, warming the indoors. perhaps this seems a little silly, but consider the following. electricity can be directly used to heat a home by passing an electric current through a heating coil. this is a direct, 100% conversion of work to heat. that is, 19.0 \rm kw of electric power (generated by doing work at the rate 19.0 kj/s at the power plant) produces heat energy inside the home at a rate of 19.0 kj/s. suppose that the neighbor's home has a heat pump with a coefficient of performance of 4.00, a realistic value. note: with a refrigerator, "what you get" is heat removed. but with a heat pump, "what you get" is heat delivered. so the coefficient of performance of a heat pump is k=qh/win. an average price for electricity is about 40 mj per dollar. a furnace or heat pump will run typically 200 hours per month during the winter. what does one month's heating cost in the home with a 16.0 kw electric heater? what does one month's heating cost in the home of a neighbor who uses a heat pump to provide the same amount of heating?

You can watch static electricity in action by rubbing an inflated balloon against your hair. your hair will actually stand on its end! it does this because each hair becomes charged, and they all repel one another.