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A person is on the shore of a large lake and cannot see the piers and rocks on t

ID: 1654421 • Letter: A

Question

A person is on the shore of a large lake and cannot see the piers and rocks on the other side. They climb a stepladder and gain a height of h = 3.00 m. From a map, they estimate the distance to the opposite shore as d = 6.1 km. Use the figure Mow and this information to estimate the radius of the Earth. A quantity Q = J^x V^N^z, where| is joules, v is velocity, and N is Newtons. The quantity Q has dimensions of [kg m^1/s^3].What are the values of the exponents x, y, and z that satisfy this equation? A toy rocket rises with an acceleration of 4.75 m/s^2 until it runs out of fuel at an altitude of 195 m. After this the rocket is only acted upon by the downward acceleration of gravity, and does not experience air resistance. (a) Of the total time spent in the air, what fraction of that time was the rocket out of fuel? (b) What is the maximum velocity achieved by the rocket during this flight?

Explanation / Answer

(3) ams

Given that

acceleration a=4.75 m/s^2

distance s=195 m

now we find the time

time t=[2s/a]^1/2=[2*195/4.75]^1/2=9.1 sec

now we find the velocity

velocity V=[2*4.75*195]^1/2=43 m/s

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