The average distance between Earth and the Sun is 1.5\times10^{11}m. (a)

Question

The average distance between Earth and the Sun is 1.5\times10^{11}m. (a)

David Troyer 2021-12-15 Answered

The average distance between Earth and the Sun is

1.5 \times 10^{11} m

.
(a) Calculate the average speed of Earth in its orbit (assumed to be circular) in meters per second. (b) What is this speed in miles per hour?

Ask Expert 1 See Answers

You can still ask an expert for help

Expert Answer

zesponderyd

Answered 2021-12-16 Author has 42 answers

We have the average distance

[d_{g}]

between Earth and Sun

= 1.5 \times 10^{11} m

The distance travelled

d_{1}

is given by:

d_{1} = 2 π \times d_{g} = 2 π \times 1.5 \times 10^{11} = 9.424 \times 10^{11} m

And

v_{1}

is given by:

v_{1} = \frac{d_{1}}{t} = \frac{9.424 \times 10^{11} m}{1 y e a r} = \frac{9.424 \times 10^{11} m}{365.25 d a y \times 24 \times 3600 s} \approx 3 \times 10^{4} \frac{m}{s}

The average speed of Earth

= 29862.85 \frac{m}{s}

The speed is given by:

v_{2} = 29862.85 \frac{m}{s} \times \frac{3600}{1609.34} \approx 6.7 \times 10^{4} m \frac{i}{h}

Thus, (a)

v_{1} = 3 \times 10^{4} \frac{m}{s}

, (b)

v_{2} = 6.7 \times 10^{4} m \frac{i}{h}

This is helpful 0

Relevant Questions

asked 2021-02-21

A 15.0 kg block is dragged over a rough, horizontal surface by a70.0 N force acting at 20.0 degree angle above the horizontal. The block is displaced 5.0 m, and the coefficient of kinetic friction is 0.3. Find the work done on the block by ; a) the 70.0 N force,b) the normal force, and c) the gravitational force. d) what is the increase in the internal energy of the block-surface system due to friction? e) find the total change in the kinetic energy of the block.

See answers (2)

asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).
a) with what speed do the entwined foes start to slide acrossthe floor?
b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

See answers (1)

asked 2021-02-11

Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components.

See answers (2)

asked 2021-01-04

Write in words how to read each of the following out loud.
a. ${x \in R^{'} ∣ 0 < x < 1}$
b. ${x \in R ∣ x \leq 0 or x \Rightarrow 1}$
c. ${n \in Z ∣ n i s a f a c t o r o f 6}$
d. ${n \in Z \cdot ∣ n i s a f a c t o r o f 6}$

See answers (1)

asked 2021-09-16

Fill in the missing value for the following percent frequency distribution.
$\begin{array}{cc} Annual Salaries & Percent Frequency \\ U n d e r $ 30, 000 & 10 \\ $ 30, 000 - 49, 999 & 35 \\ $ 50, 000 - 69, 999 & 24 \\ $ 70, 000 - 89, 999 \\ $ 90, 000 and over & 5 \end{array}$