1. i) The radius of Mercury's orbit around the sun (assumed to be circular) is 5.79 x 107km, and it travels around this orbit in 88 days. Calculate the magnitude of the orbital velocity of Mercury in m/s? Calculate its centripetal acceleration.

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Chapter1: Units, Trigonometry. And Vectors
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1. i) The radius of Mercury's orbit around the sun (assumed to be
circular) is 5.79 x 107km, and it travels around this orbit in 88 days.
Calculate the magnitude of the orbital velocity of Mercury in m/s?
Calculate its centripetal acceleration.
ii) Firemen are shooting a stream of water at a burning building
using a high-pressure hose that shoots out the water with a speed
of 25.0 m/s as it leaves the end of the hose. Once it leaves the
hose, the water undergoes projectile motion. The firemen adjust
the angle of elevation a of the hose until the water takes 3.00 s to
reach a building 45.0 m away. Find the angle of elevation a. Find
the speed of the water at the highest point in its trajectory. How
fast is it moving just before it hits the building? You can ignore air
resistance; assume that the end of the hose is at ground level.
Transcribed Image Text:1. i) The radius of Mercury's orbit around the sun (assumed to be circular) is 5.79 x 107km, and it travels around this orbit in 88 days. Calculate the magnitude of the orbital velocity of Mercury in m/s? Calculate its centripetal acceleration. ii) Firemen are shooting a stream of water at a burning building using a high-pressure hose that shoots out the water with a speed of 25.0 m/s as it leaves the end of the hose. Once it leaves the hose, the water undergoes projectile motion. The firemen adjust the angle of elevation a of the hose until the water takes 3.00 s to reach a building 45.0 m away. Find the angle of elevation a. Find the speed of the water at the highest point in its trajectory. How fast is it moving just before it hits the building? You can ignore air resistance; assume that the end of the hose is at ground level.
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