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Chapter 3: Q26P (page 124)

The mass of the Sun is The mass of the Earth is and their center-to-center distance is Suppose that at some instant the Sun's momentum is zero (it's at rest). Ignoring all effects but that of the Earth, what will the Sun's speed be after one day? (Very small changes in the velocity of a star can be detected using the "Doppler" effect, a change in the frequency of the starlight, which has made it possible to identify the presence of planets in orbit around a star.)

Short Answer

Expert verified

The value of force

Step by step solution

01

Identification of given data

Mass of sun

Mass of earth

Distance

02

Calculation of the gravitational force

According to the Newton’s low of gravitation

According to the Newton’s low of gravitation

Where

G – Gravitational constant

- Mass of 1 object

Mass of 2 objects

Distance between two object

So after putting the values we get

Thus, the value of force is

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Most popular questions from this chapter

The windshield of a speeding car hits a hovering insect. Consider the time interval from just before the car hits the insect to just after the impact. (a) For which choice of system is the change of momentum zero? (b) Is the magnitude of the change of momentum of the bug bigger than, the same as, or smaller than that of the car? (c) Is the magnitude of the change of velocity of the bug bigger than, the same as, or smaller than that of the car?

Suppose that you are going to program a computer to carry out an iterative calculation of motion involving electric forces. Assume that as usual we use the final velocity in each time interval as the approximate average velocity during that interval. Which of the following calculations should be done before starting the repetitive calculation loop? Which of the calculations listed above should go inside the repetitive loop, and in what order?

(a) Define constants such as 14πε0

(b) Update the (vector) position of each object.

(c) Calculate the (vector) forces acting on the objects.

(d) Specify the initial (vector) momentum of each object.

(e) Specify an appropriate value for the time step.

(f) Specify the mass of each object.

(g) Update the (vector) momentum of each object.

(h) Specify the initial (vector) position of each object.

Two balls of mass 0.3kgand0.5kgare connected by a low-mass spring (Figure 3.63). This device is thrown through the air with low speed, so air resistance is negligible. The motion is complicated: the balls whirl around each other, and at the same time the system vibrates, with continually changing stretch of the spring. At a particular instant, the 0.3kgball has a velocity (4,-3,2) m/sand the0.5kgball has a velocity (2,1,4) m/s.a) At this instant, what is the total momentum of the device? b) What is the net gravitational (vector) force exerted by the earth on the device? c) At a timelater, what is the total momentum of the device?

Masses M and m attract each other with a gravitational force of magnitude F. Mass m is replaced with a mass 3 cm, and it is moved four times farther away. Now, what is the magnitude of the force?

A star exerts a gravitational force of magnitude -4×1025Non a planet.

(a) What is the magnitude of the gravitational force that the planet exerts on the star?

(b) If the mass of the planet were twice as large, what would be the magnitude of the gravitational force on the planet?

(c)If the distance between the star and planet (with their original masses) were three times larger, what would be the magnitude of this force?
See all solutions

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