Question

Greenland Project: The American Heritage Greenland team Greenland kcenced rockets nevation satellite to assist our mission. We will need trek team will prepare for a crossing of the ce-X, the company that manufactures and cap in July 2019. Space spacecraft, will be launching a new tele- communications/weather observation to specify the earth orbit of this advanced atellite. Space-X is awaiting this information ruary 2019. We need to transmit our specifications to 2019 Launch is planned for 1 an 2019 so they can program it into their launch package. We a directional antenna to recelve micro-wave onm this satellite. It is imperative we know at what angle (relative (line of sight) must point the antenna for best signal reception. This angle will cap and traverse different latitudes. An antenna transmissions f we change as we cross the ice pointing plan is needed by 29 January 2019. east to west. Prior to climbing up onto the ice cap on the centrifuge to th water. We will then spin the centrifuge using a hand Our trek will be from east coast, we will be prospecting for gold. We need to design a the gold nuggets from the dust and mud. We will be shoveling dirt into arate the centrifuge along wi crank. It is estimated we can spin the 1.0 meter RPM with the hand crank. We must calculate the g-forces January 2019! diameter centrifuge drum at 400 on the loose mud by 29 se Jeeps to transport our gear from the east coast airport of entry to the We will u gold prospecti purpose in May. Since ice can still form on road surfaces year-round, they build all their road turns with a bank angle of 10 degrees and a turn radius of 30 meter ng sight. The Greenland authorities will be clearing a road for this We need to know what speed limit we should adhere to with our Jeeps in the event iceis present on the roads. This speed limit will be needed by 29 January 2019!

Answer 1

Angle of banking of road can be expressed as tan theta = v^2/rg where v = speed of the vehicle r = radius of turn g = gravitational force theta = angel of banking of road Form above problem rightarrow bank angle theta = 10 degree rightarrow turn radius r = 50 meters speed should be calculated, v^2/rg = tan theta v = squareroot tan theta times rg = squareroot tan (10) times 30 times 9.8 = squareroot 0.648 times 30 times 9.8 therefore v = 13.80 m/s therefore speed limit for your jeeps to present on the roads v = 13.80 m/s 1) Explanation Ans: As we know, rightarrow centripetal force = mv^2/r rightarrow force of friction = mu mg when a vehicle moves along the horizontal unbanked curved road, necessary centripetal force must be applied by force of friction. Therefore centripetal force = force of friction mv^2/r = mu mg rightdoublearrow v = squareroot mu rg This above expression gives