A 0.500 kg model airplane is whirled around at the end of a 1.00 m string. The m

Question

A 0.500 kg model airplane is whirled around at the end of a 1.00 m string. The mass sweeps out a horizontal circle. The string has a 10.0 N capacity, what is the maximum tangent speed of the mass if the string doesn't break? (Assume the Lift balances the weight). A 1.000 kg car rounds an unbanked curve with a radius of 60.0 m at a speed of l0.0 m/s. What minimum coefficient of friction must be exist between the road and tires to prevent the ear from slipping? A 500 g balance weight is transported to the surface of Planet Z where an objects weight a measured to be 5.00 N. The radius of the planet 5.0 times 10^4 m What is the mass of Planet Z? A explanted has 7 times the mass Earth, but has the same density as Earth. What is the gravitational acceleration at the surface of the planet? (use g = 9.80 m/s^2) A probe orbits an unknown planet while gradually spiraling inward. If the orbital radius is initially 6.0 times 10^4 m/s, and it Is moving at 3.0 times 10^4 m/s, How fast Kit moving when the orbital radius is 3.0 times 10^2 m?

Explanation / Answer

1.)
M = 0.5 kg
T = 10.0 N
r = 1.0 m

In Horizontal Motion -
Tension in the string = Centripetal Force
m*v^2/r = T
v = sqrt(T*r/m)
v = sqrt(10*1/0.5)
v = 4.472 m/s

Max Tangential Speed, v = 4.472 m/s

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