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Chapter 1: Q5-15DQ (page 159)
If there is a net force on a particle in uniform circular motion, why doesn鈥檛 the particle鈥檚 speed change?
The particle鈥檚 speed doesn鈥檛 change as no net force鈥檚 component is in the direction of the velocity of that particle
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A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). (a) If you are driving this car in Europe and want to compare its mileage with that of other European cars, express this mileage in km/L (1L = liter). Use the conversion factors in Appendix E. (b) If this car鈥檚 gas tank holds 45 L, how many tanks of gas will you use to drive 1500 km?
A hammer with mass m is dropped from rest from a height h above the earth鈥檚 surface. This height is not necessarily small compared with the radiusof the earth. Ignoring air resistance, derive an expression for the speed v of the hammer when it reaches the earth鈥檚 surface. Your expression should involve h,, and(the earth鈥檚 mass).
Question: A car鈥檚 velocity as a function of time is given by, whereand .(a) Calculate the average acceleration for the time interval . (b) Calculate the instantaneous acceleration forrole="math" .
(c) Draw graphs for the car鈥檚 motion between.
Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but have a much smaller diameter. If you weigh on the earth, what would you weigh at the surface of a neutron star that has the same mass as our sun and a diameter of ?
Write each vector in Fig. E1.24 in terms of the unit vectors and
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