The average distance of the earth from the sun is about 1.5 × 10^8 km. assume that the earth’s orbit around the sun is circular and that the sun is at the origin of your coordinate system. (a) estimate the speed of the earth as it moves in its orbit around the sun. express your answer in miles per hour with the appropriate number of significant figures. (b) estimate the angle θ between the position vector of the earth now and what it will be in 4 months. (c) calculate the distance between these two positions.

Explanation:

Distance between sun and earth will act as radius of circular path

R = 1.5 X 10¹¹ m

angular velocity of the earth

ω = 2π / T

= 2 X 3.14 / ( 365 X 24 X 60 X 60 )

= 1.99 X 10⁻⁷ radian / s

velocity v = ω R

=  1.99 X 10⁻⁷ X 1.5 X 10¹¹

= 2.985 X 10⁴ m /s

= 29.85 km/s

29.85 x 60 x 60 km/h

= 107460 km/h

107460/1.6 mile / h

= 67162.5 mile /h

b ) Angle moved in 12 months

= 360 degree

angle moved in 4 months

= 360 / 3

= 120 degree

c )  Circumference of the orbit

= 2 x 3.14 x 1.5 x 10⁸ km

9.42 x 10⁸ km

required distance will be 1/3 rd of circumference

= 9.42 / 3 x 10⁸ km

= 3.14 x 10⁸ km

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

-reverse card

which piece of furniture will have the most inertia and give the furniture movers the most difficulty in moving?  

answer

a 75kg dining table