TEST BANK FOR MECHANICAL ENGINEERING (FE)
QUESTIONS AND ANSWERS #4
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)
(B) (x-2)^2 + (y-2)^2 = 8
(C) (x+2)^2 + (y-2)^2 = 8
(D) (x+2)^2 + (y+2)^2 = SQRT(8) - correct answer C
Most nearly, what is the radius of a sphere with a center at the origin and that passes
through the point (8,1,6)?
(A) 9.2
(B) SQRT(101)
(C) 65
(D) 100 - correct answer B
What is the distance between point P at (1,-3,5) and point Q at (-3, 4, -2)?
(A) SQRT(10)
, (B) SQRT(14)
(C) 8
(D) SQRT(114) - correct answer D
The values of cos(45*) and tan(45*), respectively, are....
(A) 1 and SQRT(2)/2
(B) 1 and SQRT(2)
(C) SQRT(2)/2 and 1
(D) SQRT(2) and 1 - correct answer C
Simplify the expression cos(theta)sec(theta)/tan(theta).
(A) 1
(B) cot(theta)
(C) csc(theta)
(D) sin(theta) - correct answer B
Which of the following expressions is equivalent to the expression csc(theta)
((cos(theta))^3)tan(theta)?
(A) sin(theta)
(B) cos(theta)
(C) 1 - (sin(theta)^2
(D) 1 + (sin(theta)^2 - correct answer C
What is an equivalent expression for sin(2alpha)?
(A) -2sin(alpha)cos(alpha)
(B) (1/2)sin(alpha)cos(alpha)
(C) 2sin(alpha)/sec(alpha)
(D) 2sin(alpha)cos(alpha/2) - correct answer C
Simplify the following expression.
(cos(a + b) + cos(a - b))/cos(b)
(A) cos (a/2)
(B) 2cos(a)
(C) sin(2a)
(D) (sin(a))^2 - correct answer B
What is most nearly the eccentricity of a horizontally oriented hyperbola with a vertex of
(3,0) and a focus of (5,0)?
(A) 1.33
QUESTIONS AND ANSWERS #4
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)
(B) (x-2)^2 + (y-2)^2 = 8
(C) (x+2)^2 + (y-2)^2 = 8
(D) (x+2)^2 + (y+2)^2 = SQRT(8) - correct answer C
Most nearly, what is the radius of a sphere with a center at the origin and that passes
through the point (8,1,6)?
(A) 9.2
(B) SQRT(101)
(C) 65
(D) 100 - correct answer B
What is the distance between point P at (1,-3,5) and point Q at (-3, 4, -2)?
(A) SQRT(10)
, (B) SQRT(14)
(C) 8
(D) SQRT(114) - correct answer D
The values of cos(45*) and tan(45*), respectively, are....
(A) 1 and SQRT(2)/2
(B) 1 and SQRT(2)
(C) SQRT(2)/2 and 1
(D) SQRT(2) and 1 - correct answer C
Simplify the expression cos(theta)sec(theta)/tan(theta).
(A) 1
(B) cot(theta)
(C) csc(theta)
(D) sin(theta) - correct answer B
Which of the following expressions is equivalent to the expression csc(theta)
((cos(theta))^3)tan(theta)?
(A) sin(theta)
(B) cos(theta)
(C) 1 - (sin(theta)^2
(D) 1 + (sin(theta)^2 - correct answer C
What is an equivalent expression for sin(2alpha)?
(A) -2sin(alpha)cos(alpha)
(B) (1/2)sin(alpha)cos(alpha)
(C) 2sin(alpha)/sec(alpha)
(D) 2sin(alpha)cos(alpha/2) - correct answer C
Simplify the following expression.
(cos(a + b) + cos(a - b))/cos(b)
(A) cos (a/2)
(B) 2cos(a)
(C) sin(2a)
(D) (sin(a))^2 - correct answer B
What is most nearly the eccentricity of a horizontally oriented hyperbola with a vertex of
(3,0) and a focus of (5,0)?
(A) 1.33
