A brass wire is 1.40 m long and has a cross-sectional area of 6.00 mm2. A small steel ball with mass 0.0800 kg is attached to the end of the wire. You hold the other end of the wire and whirl the ball in a vertical circle of radius 1.40 m. What speed must the ball have at the lowest point of its path if its fractional change in length of the brass wire at this point from its unstretched length is 2.0 * 10-5? Treat the ball as a point mass.
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A brass wire is 1.40 m long and has a cross-sectional area
of 6.00 mm2. A small steel ball with mass 0.0800 kg is attached to the
end of the wire. You hold the other end of the wire and whirl the ball in
a vertical circle of radius 1.40 m. What speed must the ball have at the
lowest point of its path if its fractional change in length of the brass wire
at this point from its unstretched length is 2.0 * 10-5? Treat the ball as
a point mass.
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- Two satellites are in circular orbits around a planet that has radius Rp = 9.00 x 106 m. One satellite has mass m₁ = 68.0 kg, orbital radius r₁ = 5.00 × 107 m, and orbital speed v₁ = 4800 m/s. The second satellite has mass m₂ = 84.0 kg and orbital radius 12 = 3.00 x 107 m. a. Calculate the orbital speed of the second satellite. b. Calculate the total mechanical energy of both satellites.An amusement park ride spins its rider in a circle with a radius of 2.0 m. Determine the minimum frequency of rotation of the circle that would keep the rider from falling if the friction coefficient between the rider and the wall is 0.68. Express your answer in units of Hz (cycles per second). Use g=10 N/kg. Hint: The required friction force is the weight of the person. The normal force of the wall on the rider causes the friction.An accelerometer C is mounted to the side of the roller-coaster car and records a total acceleration of 3.9g as the empty car passes the bottommost position of the track as shown. If the speed of the car at this position is 190 km/h and is decreasing at the rate of 16 km/h every second, determine the radius of curvature p of the track at the position shown. Answer: p= i V Co- 3 0.96 m V
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