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A 90.6-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.33 x 103 N/m. He accidentally slips and falls freely for 0.997 m before the rope runs out of slack. How much is the rope stretched when it breaks his fall and momentarily brings him to rest?
A spring is compressed by 0.0709 m and is used to launch an object horizontally with a speed of 3.06 m/s. If the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate?
A girl of mass m 1 =60 m_1 = 60 kilograms springs from a trampoline with an initial upward velocity of v i =8.0 v_i = 8.0 meters per second, What is height max with respect to the top of the trampoline
an automobile starts from rest and accelerates to a final velocity in two stages along a straight road. each stage
a package of mass 5 kg sits at the equator of an airless asteroid of mass 5.0 x 1020 kg and radius 2.9 x 105 m. we want
A rocket traveling at 0.450c sets out for the star, which is 4.35ly away from earth. According to the stay-at-home earthlings, how long will the journey last
A gallon of gasoline contains about 1.3x10^8 joules of energy. A 2000-kg car traveling 20 m/s skids to a stop. Estimate how much gasoline it will take to bring the car back to the original speed
Three resistors are connected to a 54 V battery. R1=3Ω, R2=6.01Ω, R3=4Ω. Estimate the current through each resistor and the voltage across each resistor
A bolt comes loose from underneath an elevator that is moving upward at a speed of 4.5 m/s. How high up was the elevator when the bolt came loose
A harmonic wave moving in the positive x direction has an amplitude of 2.5 cm, a speed of 37.0 cm/s, and a wavelength of 54.0 cm. Assume that the displacement is zero at x = 0 and t = 0. Calculate the displacement due to the wave at x = 10.0 cm, t = ..
A basketball player makes a jump shot. The 0.700-kg ball is released at a height of1.80 m above the floor with a speed of7.00 m/s. What is the work done on the ball by air resistance
in ordinary laboratory circuits charges in the mu rm c and rm nc range are common. part a how many excess electrons
A cowboy stands on horizontal ground between two parallel vertical cliffs. He is not midway between the cliffs. What is the distance between the cliffs
The pressure in an automobile tire is usually quoted (in the United States) in pounds per square inch (lb/in2), What is the value of the gauge pressure in Pascals
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