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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
What are the events that occur at the neuromuscular junction during muscle stimulation
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}.
The equation for the displacement in meters of an object moving in SHM is x(t) = 1.50 cos (4.20t) where t is in seconds. (a) What is the maximum speed of the object?
Rod, A which is 30 cm long, expands by 0.045 cm when heated from 0oC to 100oC. Rod B, also 30 cm long expands by 0.075 cm for the same change in temperature. A third Rod C, also 30 cm long is made
One of the most powerful cranes in the world operates in Switzerland. It can slowly raise a load of M = 6000 tonnes to a height of h = 11.0 m (1 tonne = 1000 kg). How much work is done by the crane?
When a potential difference of 160 V is applied to the plates of a parallel-plate capacitor, the plates carry a surface charge density of 36.0 nC/cm2. What is the spacing between the plates?
A 1700 kg sports car accelerates from rest to 85 km/h in 7.1 s. What is the average power delivered by the engine?
A skier of mass 79 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 55 m up a 30° slope (assumed frictionless) at a constant speed of 2.8 m/s?
What magnification of the fish is produced by the water in the bowl for a viewer looking along a line that includes the fish and the center, with the fish on the near side of the center?
Consider a rotational axis at the point where the tire contacts the ground, directed perpendicular to the plane of the paper. Find the magnitude of the man's force for both designs.
If the same capacitor is connected to another battery and 72.0 µC of charge is stored on the capacitor, what is the voltage of the battery?
The other end of the string is attached to a massless axel through the center of an orange sphere on a flat horizontal surface that rolls without slipping and has mass ms = 3.2 kg and radius Rs = 0
A wave in the ocean has amplitude of 3 m. winds pick up suddenly increasing the waves amplitude to 6 m. How does this change in amplitude affect the wave's frequency and the amount of it transports
What is the bubble's diameter just as it reaches the surface of the lake, where the water temperature is 20 degrees Celcius?
What electric field E (strength) will cause the bead to hang suspended in the air?What electric field E (direction) will cause the bead to hang suspended in the air?
A thin, horizontal copper rod is 1.59397 m long and has a mass of 34.2472 g. The acceleration of gravity is 9.8 m/s2 . What is the minimum current in the rod that will cause it to float in a horizonta