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A ball of mass M and radius R starts from rest at a height of h = 1.73 m and rolls down a ? = 25.8° slope, as shown in the figure. What is the linear speed of the ball when it leaves the incline? Assume that the ball rolls without slipping.
Repeat this example for a solid cylinder of the same mass and radius as the ball and released from the same height.
vCylinder = m/s
Calculate the classical momentum of a neutron traveling at 0.997c, neglecting relativistic effects
A bullet is fired through a board, 18.0 cm thick, with its line of motion perpendicular to the face of the board. find the bullet's acceleration as it passes through the board
An airplane flies eastward and accelerates uniformly. At one position along its path it has a velocity of 33.5 m/s. It then flies a further distance of 46.9 km and its velocity is 43.1 m/s. Find the airplane's acceleration and calculate how much t..
Angular acceleration and angular displacement of the rotor using the equation of motion in rotational dynamics.
Consider three capacitors, of capacitance 2860 pF, 4570 pF, and 0.0011 ?F. what are the maximum and minimum capacitances that you can form from these
The equation of a transverse wave on a string is y = (2.0 mm) sin[ (20 m-1)x - (600 s-1)t)]. Find the linear density of this string in grams per meter
A 5.00*10^-4 C charged mass (1.00g) is thrown upwards at a speed of 20.0 m/s and it is observed that it has gone up a distance of 15m it is moving at only 10.0 m/s, what is the electric potential at 15 m up
Consider two solid conducting spheres of radii r1 = 2 cm and r2 = 3 cm. Sphere 1 initially carries a net charge of +6 ?C, What is the voltage at the surface of sphere 1? What is the net charge on sphere 1? On sphere 2
A bead slides without friction around a loop- the-loop. The bead is released from a height of 24.7 m from the bottom of the loop-the- loop which has a radius 9 m.
Two 1000 kg cars drive east; the first moving at 25 m/s, the second at 15 m/s. What is the magnitude of the total momentum of the system
A 1,200 W hair dryer is operated on a 120 V circuit for 15 minutes. If electricity costs $0.10/kW h, what was the cost of using the blow dryer.
Consider a makeup mirror that produces a magnification of 1.7 when a person's face is 12.5 cm away. What is the focal length of the makeup mirror in m
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