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A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg·m2 and is rotating at 8.0 rev/min about a frictionless vertical axle. Facing the axle, a 26.0 kg child hop
The hearing aid picks up sound having a frequency of 250 Hz at an intensity of 2.90 10-11 W/m2. What is the intensity delivered to the eardrum?
A 150-kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 410 N. For the first 18 m the floor is frictionless, and for the next 18 m the coefficient of fricti
A 70 human sprinter can accelerate from rest to 12 in 3.5 . During the same interval, a 26 greyhound can accelerate from rest to 18 . Compute (a) the change in kinetic energy and (b) the average po
The pole's symmetry axis. The rope makes an angle of 70.0 degrees with respect to the vertical as shown. What is the tangential speed of the ball?
Using a highly sensitive parabolic sound collector, Sara records the frequency of a tuning fork as it drops into the Grand Canyon. She drops the vibrating tuning fork from rest at t=0. She records
A spring whose stiffness is 1140 N/m has a relaxed length of 0.56 m. If the length of the spring changes from 0.31 m to 0.78 m, what is the change in the potential energy of the spring?
Find the magnitude of the velocity vector and the angle it makes with the positive x-axis. Find the final position vector in component form at the end of 2 seconds.
Baseball player of mass78.8 kg running at 6.97 m/s slides into home plate. a) what magnitude implusle is delivered to the player by friction? b) if the slide lasts 0.750 s, what average friction fo
A heating element of resistance (at its operating temperature) 243 Ω is connected to a battery of emf 479 V and unknown internal resistance . It is found that heat energy is being generated i
While going up the incline, the car has a constant deceleration of 0.850 in magnitude. What is the speed of the car at 12.0 on the incline?
Bob walks 200 south, then jogs 460 southwest, then walks 200 in a direction 27 east of north. Use either trigonometry or components to find the displacement that will return Bob to his starting poi
An aluminum wire carrying a current of 9.0 A has a cross-sectional area of 9.0 10-6 m2. Find the drift speed of the electrons in the wire. The density of aluminum is 2.7 g/cm3. (Assume three electr
Its angular velocity at the end of this time is 109. Find the angular velocity at the beginning of the 4.60 interval; the angular acceleration of the flywheel.
A 60kg ball of clay is thrown horizontally at 40 m/s toward a 1.6kg block sitting at rest on a frictionless hi surface. what impulse does the clay exert on the block?
Consider a solid homogeneous object taller than its wide, with the top and bottom parallel. Prove that the shape with the lowest moment of inertia about an axis through the object is a cylinder wit
Huck Finn walks at a speed of 0.70 {rm m/s} across his raft (that is, he walks perpendicular to the raft's motion relative to the shore). The raft is traveling down the Mississippi River at a speed
Assuming that the potential across the terminals stays constant until the battery is completely discharged, for how long in hours can it deliver energy at the rate of 142 W?
A 29-{rm kg} chandelier hangs from a ceiling on a vertical 4.5-{rm m}-long wire.What horizontal force would be necessary to displace its position 0.20 m to one side? What will be the tension in the
A car has a top speed of 69 m/s (about 154 mi/h) and has wheels of radius 29 cm. If the car starts from rest and reaches its operating speed after 7.2 s, what is the angular acceleration of the whe
If the amplitude of the motion is 4.8 m and the frequency is 4.6 Hz, which of these equations describes the motion?
What is the magnitude of the average velocity of the car? 29. A car moves from a point located 26.0 m from the origin and at an angle of 35.0 from the x-axis to a point located 56.0 m from the origi
You push a 2.0 kg block against a horizontal spring, compressing the spring by 15 cm. Then you release the block, and the spring sends it sliding across a tabletop. It stops 75 cm from where you re
An object is moving in simple harmonic motion with amplitude 0.28 m and total energy 2.5 J. By some means its amplitude is increased to 0.34 m. What is the total energy of the system now?
A crate of 40.8-{rm kg} tools rests on a horizontal floor. You exert a gradually increasing horizontal push on it and observe that the crate just begins to move when your force exceeds 331 {rm N}.