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A 25.00kg lead sphere is hanging from a hook by a thin wire 3.50m long, and is free to swing in a complete circle. Suddenly it is struck horizontally by a 7.00kg steel dart that embeds itself in the lead sphere. What must be the minimum initial speed of the dart so that the combination makes a complete circular loop after the collision?
In the figure below, the converging lens' focal length is 13 cm, d = 18 cm, and the diverging lens' focal length is -12.6 cm, How tall is the image formed by the diverging lens
A car moves with a constant acceleration of 2.1 m/s2. At a time of 1 s, it is 170 m beyond a mile marker, Find the car's position after the mile marker at time 5 s
A cylindrical capacitor has an inner conductor with a radius of 1.1mm and an outer conductor with a radius of 3.5mm. What is the capacitance per unit length
An asteroid is discovered heading straight toward Earth at 13 . An international team manages to attach a giant rocket engine to the asteroid. The rocket fires for 10 , after which the asteroid is moving at 29 to its original path at a speed of 18..
A bullet hit a block of wood with a mass of 10 kg, traveling horizontally at 300 m/s. What is the recoil velocity of the block
The position of a particle moving with constant acceleration is given by x(t) = 6t2 + 6t + 4, Calculate the average velocity of this particle between t = 6 seconds and t = 10 seconds
a 1.50 m section of it at one end is bent 90° in the negative z direction. Illustrate what is the total magnetic flux through the surface? Choose directions for the area vectors so that the flux through each surface is positive.
If the velocity of the car is increased to 50 km/ hour, what is its kinetic energy. if the velocity is improved to 75 km/ hour, what is its kinetic energy.
Two equally charged insulating balls each weigh 0.50 g and hang from a common point by identical threads 30 cm long, What is the magnitude of the charge on each ball
A flight attendant pulls her 63N flight bag a distance of 308m along a level airport floor at a constant velocity. The force she exerts is 45N at an angle of 57° above horizontal. Find the work she does on flight bag.
A person who is nearsighted has a far point of do = 4.8 m. Write an expression for the focal length of the glasses which will allow her to see distant objects clearly
Skier loses a ski at the top of a 98 m hill. The ski proceeds to glide down the hill frictionless. Illustrate what speed is the ski traveling at the bottom of the hill?
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