During a classroom demonstration, the instructor clumsily fails in an attempt to push a 2.001 cm diameter brass sphere through a 1.999 cm opening in a steel ring. the instructor then heats the steel ring until the sphere “just” slips through the opening. if the initial temperature of the ring is 20.0 oc, calculate the minimum temperature of the ring at which the sphere slips through the hole. note that the coefficient of linear expansion of steel is 12x10-6 oc-1

Ogle–2013–blg–0723 is an exoplanet that is similar to earth in size and proximity to its star. this exoplanet has mass m=4.18×1024kg and radius r=5.66×106m. an astronaut whose weight on earth is w=735n lands on the planet. a. calculate m, the mass of the astronaut. b. calculate gp? , the acceleration due to gravity on the surface of ogle–2013–blg–0723. c. calculate wp? , the weight of the astronaut on the surface of ogle–2013–blg–0723. d. calculate v, the minimum velocity required to put an object into orbit above ogle–2013–blg–0723. e. calculate t, the time required to complete an orbit around ogle–2013–blg–0723.

Suppose you have three polarizing filters, with the second at an angle of 42∘ to the first and the third at an angle of 90∘ to the first. by what perfect will the original intensity of unpolarized light be reduced to after passing through all three filters?

Need only answer if you think you know it