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1) A spring is hung from the ceiling. A 0.600-kg block is then attached to the free end of the spring. When released from rest, the block drops 0.110 m before momentarily coming to rest, after which it moves back upward.
(a) What is the spring constant of the spring?
(b) Find the angular frequency of the block's vibrations.
2) A heavy-duty stapling gun uses a 0.123 kg metal rod that rams against the staple to eject it. The rod is attached and pushed by a stiff spring called a "ram spring" (k = 32664 N/m). The mass of this spring may be ignored. Squeezing the handle of the gun first compresses. The ram spring is compressed by 3.20 10-2 m from its unstrained length and then releases from rest. Assuming that the ram spring is oriented vertically and is still compressed by 1.17 10-2 m when the downward-moving ram hits the staple, find the speed of the ram at the instant of contact.
A reflecting telescope has a main mirror with fM = 620 mm. If an eyepiece with a magnification of 15 is used, what is the total magnification of the telescope
A 501g mass oscillates with an amplitude of 11.0cm on a spring whose spring constant is 23.0N/m, determine the period and max speed
A parallel plate capacitor has a capacitance of 6.3 µF when filled with a dielectric. evaluate the dielectric constant of the dielectric
A man does 4,735 J of work in the process of pushing his 2.70 103 kg truck from rest to a speed of v, over a distance of 25.0 m. determine the horizontal force exerted on the truck
A wheel free to rotate about its axis that is not frictionless is initially at rest. A constant external torque of +60 N·m is applied to the wheel for 18 s, Find the moment of inertia of the wheel.
Charge q is moving at constant speed v along the positive x-axis, Find the Cartesian components of the magnetic field at a point (x,y,z) for t > 0
A 30kg child slides down a playground slide at a constant speed. find the magnitude of the kinetic friction force acting on the child
A miniblack hole formed as a superadvanced civilization decides to punish you (unfairly) by squeezing you until you become so small that you disappear inside your own event horizon. (Assume that your mass is 50).
The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.53 m and 1.03 m, respectively. The respective rotational speeds are 449 rev/min and 4147 rev/min. Compute the speeds of the tips of both rotors.
The electric field in a region of space is oriented along the positive y axis. A circle of radius R is placed in xz-plane. The flux of the electric field by this circle is Φ. The same electric field passing through a second circle of radius 2R parall..
The 3.70 cm3 volume between the plates of a 444 pF parallel-plate capacitor is filled with a dielectric, Find the permittivity of the dielectric
An alpha particle is a helium nucleus and therefore consists of two protons and two neutrons. How much time passes before the alpha particle comes to rest
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