A spring of force constant k is compressed by a distance x from its equilibrium length. (a) Does the mass of the spring change when the spring is compressed? Explain.
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A spring of force constant k is compressed by a distance x from its equilibrium length.
(b) Find an expression for the change in mass of the spring in terms of k, x, and c.
(c) What is the change in mass if the force constant is 2.5 ✕ 102 N/m and
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- A particle is moving along a line with position given by s(t)=t3−(9/2(t2 ))+6t−5 measured in meters, with t≥0 measured in minutes, and the positive direction meaning forward. a) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving forward. b) Find the equation for the velocity at time t. Give units, and find times the times the particle is moving backwards. c) Find the total distance travelled by the particle. d) Find the equation of the acceleration at time t. Give the units, and find the times when the velocity of the particle is not changing. e) Find the displacement.For A= 4î + ĵ − 3k, B = -4î + ĵ + 5k, and C= 5ĵ − 2k, find C · ( A−B )One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?
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