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A projectile of mass m is fired from the surface of the earth at an angle a from the vertical, where a = 0.75 radians. The initial speed v0 is equal to v{GM/Rearth}. Calculate the maximum height that the projectile will reach. Neglect air resistance and the earth's rotation. Express the result as the ratio to the radius of the Earth. [Hint: Apply the conservation laws to the orbit of the projectile.]
A car moving at 37 m/s approaches a stationary whistle that emits 270 Hz sound. The speed of sound is 347 m/s. What is the frequency of sound heard by the driver of the car.
A 3.00-kg crate slides down a ramp. The ramp is 1.00 m in length and inclined at an angle of 30.0o. The crate starts from rest at the top, What is the speed of the crate at the bottom of this new ramp
Three electrons are located at the vertices of an equilateral triangle, one at each vertex. What is the magnitude of the initial acceleration of each electron
On a banked race track, the smallest circular path on which cars can move has a radius of 102 m, while the largest has a radius 157 m, Find the smallest and largest speed the cars can remove without the presence of friction
A 15 kg block is accelerated at 1.7 m/s2 up a frictionless plane inclined at 5.0° to the horizontal, with the speed increasing from 10 m/s to 35 m/s. What is the average rate at which energy is transferred to the block
An object is formed by attaching a uniform, thin rod with a mass of mr = 6.92 kg and length L = 4.92 m to a uniform sphere with mass ms = 34.6 kg and radius R = 1.23 m. What is the moment of inertia of the object about an axis at the left end of th..
The mass of a bottom quark is \(4.2 GeV/c^{2}\), What was the energy of the proton beam and how fast were they moving
A small pistol fire a 1.5g bullet at 1000 m/s. The bullet strikes a 200g wooden block resting on a horizontal frictionlessl surface, What is the speed of the bullet &block system after the bullet had been embedded in the block
In one dimension, it is obvious that the force obeying Hook's law is conservative. Consider instead a spring that obeys Hook's law and has one end fixed at origin.
Two rivers, A and B, flow together to form a larger river C. If the flux (volume rate of flow) of river A is 300 gallons per second and the flux of river B is 200 gallons per second
Two capacitors, C1 = 32.0 µF and C2 = 4.00 µF, are connected in parallel and charged with a 110-V power supply. Calculate the total energy stored in the two capacitors
A tennis player receives a shot with the ball (0.0600 kg) traveling horizontally at 52.0 m/s, What is the work done on the ball by the racket
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