Explore BrainMass
Share

# 25 Multiple Choice Questions

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

1.Find the interest. Round to the nearest cent.
\$1280 at 12% for 9 months

A) Interest = \$17.07
B) Interest = \$115.20
C) Interest = \$1382.40
D) Interest = \$11,520.00

2. Find the value.
s 15,0.09 (Please refer to the attachments)

A) 33.003
B) 40.472
C) 29.361
D) 26.019

3. Find the actual interest rate paid, to the nearest tenth, on the simple discount note.
\$50,000; discount rate 8%; length of loan 6 months.

A) 9.3%
B) 8.3%
C) 7.3%
D) 10.3%

4. Solve the problem.
How much must Harry's Hardware deposit be at 12.5% interest for 120 days in order to earn \$600.00 interest?

A) \$14,400
B) \$14,600
C) \$7200
D) \$4800

5. Find the periodic payment that will render the sum.
S = \$65,000, interest is 4% compounded annually, payments made at the end of each year for 5years.

A) \$6110.96
B) \$5284.68
C) \$12,000.77
D) \$3904.96

6. Find the compound amount for the deposit. (Round to the nearest cent).
\$5000 at 7% compounded annually for 6 years.

A) \$7012.76
B) \$7100.00
C) \$7503.65
D) \$6750.00

7. Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated.
R = \$900, i = 7% interest compounded semiannually for 10years.

A) \$23,637.33
B) \$23,721.46
C) \$25,451.71
D) \$51,166.00

8. Find the value.
s 17, 0.01 (Please refer to the attachments)

A) 50.396
B) 44.501
C) 39.19
D) 53.592

9. Find the compound interest earned by the deposit. (Round to the nearest cent).
\$1800 at 6% compounded quarterly for 6 years

A) \$648.00
B) \$753.33
C) \$1968.20
D) \$773.11

10. Find the amount that should be invested now to accumulate the following amount, if the money is compounded as indicated.
\$12,400 at 12.6% compounded continuously for 6 years.

A) \$5822.31
B) \$25,168.77
C) \$4582.31
D) \$26,408.77

11. Find the effective rate corresponding to the given nominal rate. Round results to the nearest 0.01 percentage points.
14% compounded monthly

A) 14.49%
B) 14.93%
C) 3.82%
D) 14.75%

12. Find the payment necessary to amortize the loan.
\$1600; 12% compounded quarterly; 8 quaterly payments.

A) \$227.99
B) \$322.09
C) \$227.93
D) \$205.49

13. Find the periodic payment that will render the sum.
S = \$26,000, interest is 18% compounded monthly, payments made at the end of each month for 3years.

A) \$549.96
B) \$7278.02
C) \$692.62
D) \$576.30

14. Find the value.
s 21,0.038 (Please refer to the attachment)

A) 31.276
B) 29.168
C) 33.465
D) 57.592

15. Find the compound interest earned by the deposit. (Round to the nearest cent).
\$710 at 9% compounded annually for 8 years.

A) \$447.30
B) \$587.91
C) \$511.20
D) \$704.72

16. Find the actual interest rate paid, to the nearest tenth, on the simple discount note.
\$36,000; discount rate 6.0%; length of loan 4 months.

A) 5.1%
B) 8.1%
C) 6.1%
D) 7.1%

17. Find the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period. The interest rate given is per period.
\$90,000; money earns 7% compounded semiannually for 16 and a half years.

A) \$1569.74
B) \$1012.23
C) \$1418.37
D) \$1491.52

18. Find the compound interest earned by the deposit. (Round to the nearest cent).
\$15,000 at 4% compounded quarterly for 1/2year.

A) \$1224.00
B) \$301.50
C) \$1200.00
D) \$297.06

19. Find the indicated term of the geometric sequence.
a = 5, r =3/4 ; Find the 3rd term.

A) 16/45
B) 64/135
C) 135/64
D) 45/16

20. Find the indicated term of the geometric sequence.
a = 1/3 , r = 1/2 ; Find the 8th term.

A) 1/128
B) 1/768
C) 1/384
D) 1/48

21. Find the present value of the ordinary annuity.
Payments of \$2000 made annually for 10years at 12% compounded annually.

A) \$11,875.40
B) \$11,300.45
C) \$12,955.00
D) \$11,304.40

22. Find the future value of the ordinary annuity. Interest is compounded annually, unless otherwise indicated.
R = \$2500, i = 7% interest compounded quarterly for 16years.

A) \$98,536.84
B) \$290,758.26
C) \$433,615.41
D) \$283,300.51

23. Find the effective rate corresponding to the given nominal rate. Round results to the nearest 0.01 percentage points.
9% compounded monthly.

A) 1.81%
B) 9.38%
C) 9.31%
D) 9.20%

24. Solve the problem.
Novelties-and-Such borrowed \$6700 for 75days and paid \$213.39 in interest. Find the rate of interest on the loan.

A) 16.0%
B) 15.7%
C) 15.5%
D) 15.0%

25. Find the sum of the first five terms of the geometric sequence.
a =3/2 , r = 2

A) 1/4
B) 93
C) 5
D) 93/2

#### Solution Preview

1. B
2. C
3. The correct answer will be 4%, which is not given in the options.
4. ...

#### Solution Summary

This solution is comprised of detailed explanation and step-by-step calculation of the given problems and provides students with a clear perspective of the underlying concepts.

\$2.19

## 25 Multiple Choice question all mechanics, Fully explained

1. A bicycle travels 141 m along a circular track of radius 15m. What is the angular displacement in radians of the bicycle from its starting position?

2. What is the angular speed in rad/s of the second hand of a watch?

3. During the spin-dry cycle of a washing machine, the motor slows from 95 rad/s to 30 rad/s while the turning the drum through an angle of 402 radians. What is the magnitude of the angular acceleration of the motor?

4. During the time a compact disc (CD) accelerates from rest to a constant rotational
speed of 477 rev/min, it rotates through an angular displacement of 0.250 rev. What is the angular acceleration of the CD?

5. A grindstone of radius 4.0 m is initially spinning with an angular speed of 8.0 rad/s. The angular speed is then increased to 10 rad/s over the next 4.0 seconds. Assume that the angular acceleration is constant. What is the average angular speed of the grindstone?

6. A roulette wheel with a 1.0-m radius reaches a maximum angular speed of 18 rad/s before it stops 35 revolutions (220 rad) after attaining the maximum speed. How long did it take the wheel to stop?

a. 12 s
b. 48 s
c. 3.7 s
d. 8.8 s
e. 24 s

7. What is the tangential speed of a lug nut on a wheel of a car if the lug nut is located 0.114 m from the axis of rotation and the wheel is rotating at 6.53 rev/sec?

a. 0.745 m/s
b. 1.49 m/s
c. 2.98 m/s
d. 4.68 m/s
e. 9.36 m/s

8. A rigid body rotates about a fixed axis with a constant angular acceleration. Which one of the following statements is true concerning the tangential acceleration of any point on the body?

a. Its magnitude is zero m/s2
b. It depends on the angular velocity
c. It is equal to the centripetal acceleration
d. It is constant in both magnitude and direction
e. It depends on the change in the angular velocity

9. A circular hoop rolls without slipping on a flat horizontal surface. Which one of the following is necessarily true?

a. All points on the rim of the hoop have the same speed
b. All points on the rim of the hoop have the same velocity
c. Every point on the rim of the wheel has a different velocity
d. All points on the rim of the hoop have acceleration vectors that are tangent to the hoop
e. All points on the rim of the hoop have acceleration vectors that point toward the center of the hoop

10. A wrench is used to tighten a nut as shown in the figure above. A 12-N force is applied 7.0 cm from the axis of rotation. What is the torque due to the applied force?

a. 0.58 N ? m
b. 0.84 N ? m
c. 1.71 N ? m
d. 14 N ? m
e. 58 N ? m

11. Complete the following statements: A body is in translational equilibrium

a. Only if it is at rest
b. Only if it is moving with constant velocity
c. Only if it is moving with constant velocity
d. If it is either at rest or moving with constant velocity
e. If it is moving with either constant velocity or constant acceleration

12. What, approximately, is the magnitude of the downward force exerted on the fulcrum?

a. Zero newtons
b. 100 N
c. 600 N
d. 800 N
e. 1000 N

13. Consider four point masses located as shown in the sketch. The acceleration due to gravity is the same everywhere. What is the x coordinate of the center of gravity for this system?

a. 2.0 m
b. 2.7 m
c. 3.0 m
d. 3.3 m
e. 3.8 m

14. Two uniform solid spheres, A and B have the same mass. The radius of sphere B is twice that of sphere A. The axis of rotation passes through each sphere. Which one of the following statements concerning the moments of inertia of these spheres is true?

a. The moment of inertia of A is one-fourth that of B
b. The moment of inertia of A is one-half that of B

c. The moment of inertia of A is 5/4 that of B
d. The moment of inertia of A is 5/8 that of B
e. The two spheres have equal moments of inertia

15. A string is wrapped around a pulley of radius 0.10 m and moment of inertia 0.15 kg ? m2. The string is pulled with a force of 12 N. What is the magnitude of the resulting angular acceleration of the pulley?

16. A 50-kg rider on a moped of mass 75 kg is traveling with a speed of 20 m/s. Each of the two wheels of the moped has a radius of 0.2 m and a moment of inertia of 0.2 kg ? m2. What is the total rotational kinetic energy of the wheels?

a. 80 J
b. 100 J
c. 500 J
d. 2000 J
e. 4000 J

17. A solid sphere of radius R rotates about a diameter with an angular speed &#969;. The sphere then collapses under the action of internal forces to a final radius R/2. What is the final angular speed of the sphere?

a. &#969;/4
b. &#969;/2
c. &#969;
d. 2&#969;
e. 4&#969;

18. Gina's favorite exercise equipment at the gym consists of various springs. In one exercise, she pulls a handle grip attached to the free end of a spring to 0.80 m from its unstrained position. The other end of the spring (spring constant = 53 N/m) is held in place by the equipment frame. What is the magnitude of force that Gina is applying to the handle grip?

a. 31 N
b. 36 N
c. 42 N
d. 54 N
e. 66 N

19. A ball hung from a vertical spring oscillates in simple harmonic motion with an angular frequency of 2.6 rad/s and an amplitude of 0.075 m. What is the maximum acceleration of the ball?

a. 0.13 m/s2
b. 0.20 m/s2
c. 0.51 m/s2
d. 2.6 m/s2
e. 35 m/s2

20. A ping-pong ball weighs 2.5 à? 10-2N. The ball is placed inside a cup that sits on top of a vertical spring. If the spring is compressed 0.055 m and released, the maximum height above the compressed position that the ball reaches is 2.84 m. Neglect air resistance and determine the spring constant.

a. 47 N/m
b. 24 N/m
c. 11 N/m
d. 5.2 N/m
e. 2.6 N/m

21. What is the period of a pendulum consisting of a 6-kg object oscillating on a 4-m string?

a. 0.25 s
b. 0.50 s
c. 1.0 s
d. 2.0 s
e. 4.0 s

22. Which one of the following terms is used to describe a system in which the degree of damping is just enough to stop the system from oscillating?

a. Slightly damped
b. Under-damped
c. Critically damped
d. Over-damped
e. Resonance

23. A simple harmonic oscillator with a period of 2.0 s is subject to damping so that it loses one percent of its amplitude per cycle. About how much energy does this oscillator lose per cycle?

a. 0.5 %
b. 1.0 %
c. 1.4 %
d. 2.0 %
e. 4.0 %

24. A cable stretches by an amount d when it supports a crate of mass M. The cable is replaced by another cable of the same material having the same length but twice the diameter. What is the mass of the load that can be supported by the thicker cable if it stretches by an amount d?

a. M/4
b. M/2
c. M
d. 2M
e. 4M

25. Which one of the following statements concerning Hook's law is false?

a. Hook's law relates stress and strain.
b. Hook's law is valid only for springs.
c. Hook's haw can be verified experimentally.
d. Hook's law can be applied to a wide range of materials.
e. Hook's law is valid only within the elastic limit of a given material.

View Full Posting Details