Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.8 kilogram and ? = 30°? If necessary, round the answer to the nearest tenth of a Newton.
A. 3.8 N
B. 3.9 N
C. 6.8 N
D. 7.7 N
Answer: B
Mathematics
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Solve the equation.7x3 - 32x2 - 15x = 0
A. x = 0 or x = - 
or x = 5
B. x = 0 or x = 
or x = -5
C. x = - 
or x = 5
D. x = 0 or x = - 
or x = 5
Mathematics
Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = 3i + 2j,
w = 3i + j
A. v1 = + 
i + 
j, v2 = - 
i + 
j
B. v1 = + 
i + 
j, v2 = - 
i + 
j
C. v1 = + 
i + 
j, v2 = 
i + 
j
D. v1 = + 
i + 
j, v2 = 
i + 
j
Mathematics
Solve.A 21-ft length of wire is cut into two pieces. The shorter piece is 6 ft shorter than the longer piece. What is the length of the longer piece?
A. 18 ft B. 14.5 ft C. 14 ft D. 13.5 ft
Mathematics
Simplify.
A. 
B. 
C. 
D. 
Mathematics