Question

Could you please answer these questions

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Calculate the average density of the following astronomical body: Mars. Mars = kg/m3 Where does the value fit among those listed in the table below? Look up the density of a typical rock, such as granite in another source and compare the density of Mars to it. A proton, which is the nucleus of a hydrogen atom, can be modeled as a sphere with a diameter of 2.4 fm and a mass of 1.67 x 10-27kg Densities of Some Common Substances at Standard Temperature ((PC) and Pressure (Atmospheric) Determine the density of the proton. kg/m3 State how your answer to part (a) compares with the density of mercury, given the table above. less than mercury equal to mercury greater than mercury Suppose your hair grows at the rate 1/31 in. per day. Find the rate at which it grows in nanometers per second. Because the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly layers of atoms are assembled in this protein synthesis, nm/s A pyramid has a height of 510 ft and its base covers an area of 12.0 acres (see figure below). The volume of a pyramid is given by the expression V = 1/3Bh where B is the area of the base and h is the height. Find the volume of this pyramid in cubic meters. (1 acre = 43,560 ft2) m3 A house is 46.0 ft long and 22.0 ft wide and has 8.0-ft-high ceilings. What is the volume of the interior of the house in cubic meters and cubic centimeters? m3 cm3 An automobile tire is rated to last for 55,000 miles. To an order of magnitude, through how many revolutions will it turn? revolutions A position-time graph for a particle moving along the x axis is shown in the figure below. Find the average velocity in the time interval t = 1.00 s to t = 3.50 s. (Indicate the direction with the sign of your answer.) m/s Determine the instantaneous velocity at t = 2 s (where the tangent line touches the curve) by measuring the slope of the tangent line shown in the graph. (Indicate the direction with the sign of your answer.) m/s At what value of t is the velocity zero? s A car travels along a straight line at a constant speed of 40.0 mi/h for a distance d and then another distance d in the same direction at another constant speed. The average velocity for the entire trip is 26.0 mi/h. What is the constant speed with which the car moved during the second distance d? mi/h A hare and a tortoise compete in a race over a straight course 0.85 km long. The tortoise crawls at a speed of 0.140 m/s toward the finish line. The hare runs at a speed of 7.70 m/s toward the finish line for 0.680 km and then stops to tease the slow-moving tortoise as the tortoise eventually passes by. The hare waits for a while after the tortoise passes and then runs toward the finish line again at 7.70 m/s. Both the hare and the tortoise cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. How far is the tortoise from the finish line when the hare resumes the race? For how long in time was the hare stationary?

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Answer 1

1 ) desity of mars = 3.93 g/cm

Answer 2

6 ) R = radius of car   in mile

    number of revolution = 55000 / (2*pi*R )

9 ) a) totoise is X meter from finish line .

then (0.85 -x)/0.14 = ( 0.85- 0.68)/7.7

X = 0.8469 m

totoise is 0.8469 meter from finish line

b ) time = 0.8469/0.14 - 0.68/7.7 = 5.96 s

Answer 3

Answer 4

) desity of mars = 3.93 g/cm

Answer 5

1)D = 3.9242E+12 kg/km^3

2taking fm as femto

a).23*10^18kg/m^3

b)more than mercury

3)9.18nm/s

4)209691.912m^3

5)229253190.01cm^3

229.253m^3

7)

a)-2.5m/sec

b)-2m/sec

c)4 sec

8)19.25 mi/h

9)

a)169.85m

b)1.078sec