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A hand grenade of total mass 6 kilogram explodes into three pieces each of 2 kilogram. Two of the pieces fly off at 10 meter per second at right angles to each other. Determine what speed does the third piece have?
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The equation for motion for the ideal spring-mass system as derived in class is, ma+kx=0, where, m=mass, a=acceleration, k=spring stiffness, and x=displacement. 1) Describe briefly how the equation for motion arises from ...
Question: A resistor with resistance R and a capacitor with capacitance C are connected in series to an AC voltage source. The time-dependent voltage across the capacitor is given by VC(t)=VC0 sin t.If R = 3k, C=100pF, V ...
Question: A sump pump is draining a flooded basement at the rate of 0.500 L/s, with an output pressure of 3.00 ✕ 105 N/m2. Neglect frictional losses in both parts of this problem. (a) The water enters a hose with a 3.0 ...
Question: Storm clouds build up large negative charges, as described in the chapter. The charges dwell in charge centers, regions of concentrated charge. Suppose a cloud has -25 C in a 1.0-km-diameter spherical charge ce ...
Question: A projectile is fired with an initial speed of 49.6m/s at an angle of 41.2 degrees above the horizontal on a long flat firing range. A) Determine the maximum height reached by the projectile. B) Determine the t ...
Swimming at 1.50 m/s relative to still water, a swimmer heads directly across a river of width 80 m. He arrives 45.0 m downstream from the point directly across the river from his starting point. (a) What is the speed o ...
Question: A particle moving on the x-axis experiences a force given by Fx = qx 2 , where q is a constant. How much work is done on the particle as it moves from x=0 to x=d? Express your answer in terms of some or all of ...
A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.0 m/s at ground level. The engines then fire, and the rocket accelerates upward at 5.00 m/s^2 until it reaches an ...
Question: A softball pitcher throws an underhanded pitch with the arm fully extended (straight at the elbow). The ball leaves the pitcher's hand with a speed of 25 m/s. Assume that the pitching motion originates with the ...
Question: This problem concerns the properties of circular orbits for a satellite of mass m orbiting a planet of mass M in an almost circular orbit of radius r. In doing this problem, you are to assume that the planet ha ...
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