FES EXAM (FES questions based on modules)
QUESTIONS WITH COMPLETE SOLUTIONS!!
15 kg/s of air are compressed from 1 atm and 300K (enthalpy of 300.19 kJ/kg) to 2 atm and 900K
(enthalpy of 732.93 kJ/kg). Heat transfer is negligible. The air compressor's power output is most nearly
(A) 5.6 MW
(B) 6.5 MW
(C) 7.6 MW
(D) 8.9 MW (correct answer) B
What is most nearly the weight in lbf if a 1.00lbm object in a gravitational field of 27.5ft/s^2?
(A) 0.85lbf
(B) 1.2lbf
(C) 28lbf
(D) 32lbf (correct answer) A
A rocket that has a mass of 4000 lbm travels at 27,000 ft/sec. What is most nearly its kinetic energy?
(A) 1.4 x 10^9 ft-lbf
(B) 4.5 x 10^10 ft-lbf
(C) 1.5 x 10^12 ft-lbf
(D) 4.7 x 10^13 ft-lbf (correct answer) B
A 10kg block hangs from a cable. What is most nearly the tension in the cable?
(A) 1.0N
(B) 9.8N
(C) 65N
,(D) 98N (correct answer) D
A 10 kg block is raised vertically 3 m. What us most nearly the change in potential energy?
(A) 30 J
(B) 98 J
(C) 290 J
(D) 880 J (correct answer) C
Find the slope of the line that passes through points (-3, 2) and (5, -2).
(A) -2
(B) -0.5
(C) 0.5
(D) 2 (correct answer) B
A line goes through the point (4, -6) and is perpendicular to the line y = 4x+10. What is the equation of
the line?
(A) y=(-1/4)x -20
(B) y=(-1/4)x - 5
(C) y=(1/5)x + 5
(D) y=(1/4)x +5 (correct answer) B
What is the slope of the line define by y-x=5?
(A) -1
(B) -1/5
(C) 1/4
,(D) 1 (correct answer) D
What us the general form of the equation for a line whose x-intercept is 4 and y-intercept is -6?
(A) 2x-3y-18 = 0
(B) 2x+3y+18 = 0
(C) 3x - 2y - 12 = 0
(D) 3x +2y + 12 = 0 (correct answer) C
A circle with a radius of 5 is centered at the orgin.
What is the standard form of the equation of the line tangent to this circle at the point (3, 4)?
(A) x = (-4/3)y - (25/4)
(B) y = (3/4)x + (25/4)
(C) y = (-3/4)x + (9/4)
(D) y = (-3/4)x + (25/4) (correct answer) D
The angle between the line y = -7x + 12 and the line y = 3x is most nearly......
(A) 22*
(B) 27*
(C) 33*
(D) 37* (correct answer) B
What are the roots of the quadratic equation -7x + x^2 = -10?
(A) -5 and 2
(B) -2 and 0.4
(C) 0.4 and 2
, (D) 2 and 5 (correct answer) D
What kind of conic section is described by the following equation?
4x^2 - y^2 +8x +4y = 15
(A) circle
(B) ellipse
(C) parabola
(D) hyperbola (correct answer) D
What is the equation of the parabola with a vertex at (4, 8) and a directrix at y = 5?
(A) (x-8)^2 = 12(y-4)
(B) (x-4)^2 = 12(y-8)
(C) (x-4)^2 = 6(y-8)
(D) (y-8)^2 = 12(x-4) (correct answer) B
What is the equation of the ellipse with center at (0, 0), with vertical major axis, and that passes through
the points (2, 0), (0, 3), and (-2, 0)?
(A) (x^2/9) - (y^2/4) = 1
(B) (x^2/4) - (y^2/9) = 1
(C) (x^2/9) + (y^2/4) = 1
(D) (x^2/4) + (y^2/9) = 1 (correct answer) D
What is the equation of the circle passing through the points (0, 0), (0, 4), and (-4,0)?
(A) (x-2)^2 + (y-2)^2 = SQRT(8)
QUESTIONS WITH COMPLETE SOLUTIONS!!
15 kg/s of air are compressed from 1 atm and 300K (enthalpy of 300.19 kJ/kg) to 2 atm and 900K
(enthalpy of 732.93 kJ/kg). Heat transfer is negligible. The air compressor's power output is most nearly
(A) 5.6 MW
(B) 6.5 MW
(C) 7.6 MW
(D) 8.9 MW (correct answer) B
What is most nearly the weight in lbf if a 1.00lbm object in a gravitational field of 27.5ft/s^2?
(A) 0.85lbf
(B) 1.2lbf
(C) 28lbf
(D) 32lbf (correct answer) A
A rocket that has a mass of 4000 lbm travels at 27,000 ft/sec. What is most nearly its kinetic energy?
(A) 1.4 x 10^9 ft-lbf
(B) 4.5 x 10^10 ft-lbf
(C) 1.5 x 10^12 ft-lbf
(D) 4.7 x 10^13 ft-lbf (correct answer) B
A 10kg block hangs from a cable. What is most nearly the tension in the cable?
(A) 1.0N
(B) 9.8N
(C) 65N
,(D) 98N (correct answer) D
A 10 kg block is raised vertically 3 m. What us most nearly the change in potential energy?
(A) 30 J
(B) 98 J
(C) 290 J
(D) 880 J (correct answer) C
Find the slope of the line that passes through points (-3, 2) and (5, -2).
(A) -2
(B) -0.5
(C) 0.5
(D) 2 (correct answer) B
A line goes through the point (4, -6) and is perpendicular to the line y = 4x+10. What is the equation of
the line?
(A) y=(-1/4)x -20
(B) y=(-1/4)x - 5
(C) y=(1/5)x + 5
(D) y=(1/4)x +5 (correct answer) B
What is the slope of the line define by y-x=5?
(A) -1
(B) -1/5
(C) 1/4
,(D) 1 (correct answer) D
What us the general form of the equation for a line whose x-intercept is 4 and y-intercept is -6?
(A) 2x-3y-18 = 0
(B) 2x+3y+18 = 0
(C) 3x - 2y - 12 = 0
(D) 3x +2y + 12 = 0 (correct answer) C
A circle with a radius of 5 is centered at the orgin.
What is the standard form of the equation of the line tangent to this circle at the point (3, 4)?
(A) x = (-4/3)y - (25/4)
(B) y = (3/4)x + (25/4)
(C) y = (-3/4)x + (9/4)
(D) y = (-3/4)x + (25/4) (correct answer) D
The angle between the line y = -7x + 12 and the line y = 3x is most nearly......
(A) 22*
(B) 27*
(C) 33*
(D) 37* (correct answer) B
What are the roots of the quadratic equation -7x + x^2 = -10?
(A) -5 and 2
(B) -2 and 0.4
(C) 0.4 and 2
, (D) 2 and 5 (correct answer) D
What kind of conic section is described by the following equation?
4x^2 - y^2 +8x +4y = 15
(A) circle
(B) ellipse
(C) parabola
(D) hyperbola (correct answer) D
What is the equation of the parabola with a vertex at (4, 8) and a directrix at y = 5?
(A) (x-8)^2 = 12(y-4)
(B) (x-4)^2 = 12(y-8)
(C) (x-4)^2 = 6(y-8)
(D) (y-8)^2 = 12(x-4) (correct answer) B
What is the equation of the ellipse with center at (0, 0), with vertical major axis, and that passes through
the points (2, 0), (0, 3), and (-2, 0)?
(A) (x^2/9) - (y^2/4) = 1
(B) (x^2/4) - (y^2/9) = 1
(C) (x^2/9) + (y^2/4) = 1
(D) (x^2/4) + (y^2/9) = 1 (correct answer) D
What is the equation of the circle passing through the points (0, 0), (0, 4), and (-4,0)?
(A) (x-2)^2 + (y-2)^2 = SQRT(8)
