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A 5.45-kg ball hangs from the top of a vertical pole by a 2.19-m-long string. The ball is struck, causing it to revolve around the pole at a speed of 4.37 m/s in a horizontal circle with the string remaining taut. Calculate the angle, between 0° and 90°, that the string makes with the pole. Take g = 9.81 m/s2.
A converging lens of focal length 7.99 cm is 19.7 cm to the left of a diverging lens of focal length -6.02 cm, Calculate the magnification of the coin's final image
A pair of eyeglass frames are made of an epoxy plastic (coefficient of linear expansion = 1.30 10-4°C-1). To what temperature must the frames be heated
A proton accelerates from rest in a uniform electric field of 690 N/C. At one later moment, its speed is 1.30 Mm/s, What is its kinetic energy at the end of this interval
Two atomic clocks are synchronized while on Earth before one is launched (within a GPS satellite) into a medium-altitude Earth orbit. estimate the time difference between the two atomic clocks
After a plant or animal dies, its 14C content decreases with a half-life of 5730 years. If an archaeologist finds an ancient firepit containing partially consumed firewood, what is the age of the ancient site
An electron in the hydrogen atom is in an excited state given by (n=4, l=3, ml=2, ms=1/2). List the possible final states the system could be in after the emission of photon. Include in the list the energies of the photon.
a cube of edge length 2.1 cm is positioned as shown in the figure below. there is a uniform magnetic field throughout
A block of mass 77 g floats on a fluid, oscillating up and down at a frequency of 8 Hz. What is the value (in N/m) of the effective spring constant of the fluid
A disk with a moment of inertia of 75+1.5 kgm2 rotates at a speed of of 156+5 radians/sec
A 4kg duck sitting on a pole 20 m tall is struck by a 20 g bullet moving horizontally at 200 m/s. How far from the base of the pole does the duck strike the ground
A Carnot engine takes an amount of heat QH = 111 J from a high-temperature reservoir at temperature TH = 1030 °C, Find the amount of work that is obtained from this process
The induced electric field 13cm from the axis of a solenoid with a 8.5cm radius is 40V/m. Find the rate of change of the solenoid's magnetic field
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