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A cannon of mass 6.14 x 103 kg is rigidly bolted to theearth so it can recoil only by a negligible amount. The cannonfires a 89.6-kg shell horizontally with an initial velocity of 595m/s. Suppose the cannon is then unbolted from the earth, and noexternal force hinders its recoil. What would be the velocity of a shell fired from this loose cannon? (Hint: In both cases assumethat the burning gunpowder imparts the same kinetic energy to thesystem.)
A cowboy at a dude ranch fills a horse trough that is 1.50m long, 65cm wide and 45cm deep. He uses a 2cm diameter hose from which water emerges at 1.50m/s.
A parallel-plate capacitor is constructed with circular plates of radius 6.0×10?2m . The plates are separated by 0.26mm, Find the value of the dielectric constant
A bicycle wheel is rotating at 45rpm when the cyclist begins to pedal harder, What is the wheel's angular velocity, in rpm, 8.0s later
a 5 kg mass is attached to the end of a 1.0-m string. The system is whirled in a horizontal circular path. What is the maximum speed of the mass if the string is not to break
A mining lift, with a 80kg cage, should be able to pull up to the surface ten 90kg miners, from a 20m deep well, in 20s. If the gearboxes available have an efficiency of 75%, what should be the power rating of the DC motor used. If the driving gear p..
A sugar solution with n=1.42 contains an air bubble of radius1.00 cm. Where is the image of a sugar crystal 3.00 cm from the bubble's surface when viewed through the center of the bubble? Does the bubble behave like a converging or diverging lens?
A loudspeaker of mass 21.0 {rm kg} is suspended the distance of h = 2.40 {rm m} below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 3.90 {rm m}.
A helicopter, starting from rest, accelerates straight up from the roof of a hospital. The lifting force does work in raising the helicopter. An 920-kg helicopter rises from rest to a speed of 8.0 m/s in a time of 4.5 s. During this time it climbs..
A star has a mass of 1.27 x 1030 kg and is moving in a circular orbit about the center of its galaxy. The radius of the orbit is 1.0 x 104light-years, Determine the tangential speed of the star
A converging lens with a focal length of 89.0cm forms an image of a 3.25cm -tall real object that is to the left of the lens. Where are the object and image located in relation to the lens
A rope goes over a circular pulley with a radius of 7.5 cm. If the pulley makes four revolutions without the rope slipping, what length of rope passes over the pulley
A person can jump a horizontal distance of 2.82m on Earth, where the free-fall acceleration, g = 9.81 m/s2. How far might the person jump on the moon, where the free-fall acceleration is g/6? How far could the person jump on Mars where the accelerati..
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