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Chapter 1: Q13DQ (page 123)

Some students refer to the quantity ma S as 鈥渢he force of acceleration.鈥� Is it correct to refer to this quantity as a force? If so, what exerts this force? If not, what is a better description of this quantity?

Short Answer

Expert verified

Therefore, the ma鈫�is equal to the net force is just an empirical equation, but it is not a force.

Step by step solution

01

Newton’s Second law

A body accelerates when a net force acts on it and travels in the same direction as the net force. The product of mass and acceleration vector is equal to the force vector.

鈭�F鈫�=ma鈫�

02

Explain the quantity ma→.

Force being mass times acceleration is just an empirical equation that is used to calculate net force. Even though it is equal to the net force, it is not a force. Acceleration is an effect of a non-zero net force; it itself is not a force.

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Most popular questions from this chapter

As planets with a wide variety of properties are being discovered

outside our solar system, astrobiologists are considering whether and how life

could evolve on planets that might be very different from earth. One recently

discovered extrasolar planet, or exoplanet, orbits a star whose mass is 0.70

times the mass of our sun. This planet has been found to have 2.3 times the

earth鈥檚 diameter and 7.9 times the earth鈥檚 mass. For planets in this size range,

computer models indicate a relationship between the planet鈥檚 density and

composition:

Based on these data, what is the most likely composition of this planet? (a)

Mostly iron; (b) iron and rock; (c) iron and rock with some lighter elements; (d)

hydrogen and helium gases.

At a certain instant, the earth, the moon, and a stationary 1250-kg spacecraft lie at the vertices of an equilateral triangle whosesides are r1=3.48脳105kmin length. (a) Find the magnitude and direction of the net gravitational force exerted on the spacecraft by the earth and moon. State the direction as an angle measured from a line connecting the earth and the spacecraft. In a sketch, show the earth, the moon, the spacecraft, and the force vector. (b) What is the minimum amount of work that you would have to do to move the spacecraft to a point far from the earth and moon? Ignore any gravitational effects due to the other planets or the sun.

A useful and easy-to-remember approximate value for the number of seconds in a year is饾洃脳107. Determine the percent error in this approximate value. (There are 365.24 days in one year.)

The planet Uranus has a radius of 25360鈥塳尘and a surface acceleration due to gravity of9.0鈥尘/s2at its poles. Its moon Miranda (discovered by Kuiper in 1948) is in a circular orbit about Uranus at an altitude of 104000鈥塳尘above the planet鈥檚 surface. Miranda has a mass of6.6脳1019鈥塳驳and a radius of 236km(a) Calculate the mass of Uranus from the given data. (b) Calculate the magnitude of Miranda鈥檚 acceleration due to its orbital motion about Uranus. (c) Calculate the acceleration due to Miranda鈥檚 gravity at the surface of Miranda. (d) Do the answers to parts (b) and (c) mean that an object releasedabove Miranda鈥檚 surface on the side toward Uranus will fall up relative to Miranda? Explain.

The acceleration of a particle is given by ax(t)=鈭�2.00鈥�m/s2+(3.00鈥�m/s3)t. (a) Find the initial velocityv0xsuch that the particle will have the same x-coordinate att=4.00鈥�sas it had att=0. (b) What will be the velocity att=4.00鈥�s?
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