A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.88 m. With the string hanging vertically, the object is given an initial velocity of 1.7 m/s parallel to the ground and swings upward on a cir...
A satellite has a mass of 5381 kg and is in a circular orbit 4.30 105 m above the surface of a planet. The period of the orbit is 2.06 hours. The radius of the planet is 4.09 106 m. What would be the true weight of the satellite if it were at rest on the planet's surface?
A motorcycle has a constant speed of 20.8 m/s as it passes over the top of a hill whose radius of curvature is 159 m. The mass of the motorcycle and driver is 387 kg. Find the magnitude of (a) the centripetal force and (b) the normal force that acts on the cycle.
On a banked race track, the smallest circular path on which cars can move has a radius of 105 m, while the largest has a radius of 175 m, as the drawing illustrates. The height of the outer wall is 18.7 m. Find (a) the smallest and (b) the largest speed at which cars can move ...
How much simple intrest would 1,000 earn in 275 days at an intrest rate of 4.21 percent?
Ranchos callampas and favelas are all slum areas in
A survey of 815 students is asked whether or not they have cable TV and Internet cable in their rooms at home. Results of the survey showed that 69% of students has cable TV, 58% of students has Internet cable and 37% of students has both cable TV and Internet cable. Suppose, ...
Wendy is a randomly chosen member of a large female population, in which 9% are pregnant. Wendy tests positive in a pregnancy test. Pregnancy test correctly identifies pregnancy 95% of the time and correctly identifies non pregnancy 92% of the time. What is the probability tha...
The following three points are produced by some quadratic function of the form : f(x) = Ax^2 + Bx + C where A; B and C are real numbers and A = 0; they are (1/2,0);(0,10); and (4,0). Find a quadratic function that satisfy es these three points.
Suppose an isosceles triangle has perimeter 10 cm. Find an expression for its area A as a function of the length of its base b (assume that the other two sides are the sides of equal length). What is the domain of A?
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