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A particle moves along the x-axis according to the equation x(t) = 2.0 + 3.0t2 - 1.0t3, where x is in meters and t is in seconds. What is the position of this particle when it achieves its maximum speed in the positive x-direction? What is its speed at that time?
A flywheel having constant angular acceleration requires 4.6-{rm s} to rotate through 162 rad. Its angular velocity at the end of this time is 100 rad/s. Find out the angular velocity at the beginning of the 4.6s interval; the angular acceleration..
A flight attendant pulls her 72.0 N flight bag a distance of 282 m along a level airport floor at a constant speed. The force she exerts is 33.0 N at an angle of 52.0° above the horizontal.
What is the kinetic energy of a 1,500 kg car with velocity of 72.0 km/hr? How much work must be done on the car to bring it to a complete stop.
At the beginning of the interval the astronaut is moving toward the right along the x-axis at 15.40, and at the end of interval she is moving toward the right at 5.40.
compute the mean scattering cross-section at a frequency of 5 MHz of a distribution of air bubbles of 3 μm mean radius, assuming a Gaussian size distribution of a variance of 1 μm and 1.5 μm. The total damping constant is 1.0.
A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 4.50 m/s in 0.852 s. What are the magnitudes of the linear impulse and the average total force experienced by a 65.0 kg passenger i..
An 8m, 290 N uniform ladders rests against a smooth wall. The coefficient of static friction between the ladder and the ground is 0.75, and the ladder makes a 50° angle with the ground. How far up the ladder can a 720 N person climb before the lad..
At a temperature of 5800, hydrogen atoms in the solar atmosphere have typical random speeds of about 12. Assume that spectral-line broadening is simply the result of atoms moving toward us or away from us at this random speed, estimates thermal width..
A luge and its rider, with a total mass of 83kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 44m/s. Assume that they stop with the constant deceleration of 2.9 m/s2.
A student wearing frictionless in-line skades on a horizontal surface is pushed by a friend with a constant force of 23.00N. How far should the student be pushed, starting from rest, so that her final kinetic energy is 283J.
How many 119W light bulbs can you use in a 134V circuit without tripping a 15 A circuit breaker? (The bulbs are connected in parallel that means that the potential difference across each light bulb is 134 V.)
An object of mass m is attached to a horizontal spring, stretched to a displacement A from equilibrium and released, undergoing harmonic oscillations on a frictionless surface with period T0. The experiment is then repeated with a mass of 4m. The sub..
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