FCTC FCTC Test Applying Mechanical Reasoning Questions and Answers 3

Question 1

A hydraulic jack has an input piston with an area of 2 square inches and an output piston with an area of 20 square inches. If you apply 100 lbs of force, how much force is exerted on the output piston?

Accepted Answer

1,000 lbs

Answer

Hydraulic mechanical advantage equals the ratio of piston areas; 100 lbs × (20/2) = 1,000 lbs of output force.

Question 2

An electric circuit has a 12-volt battery and a resistance of 4 ohms. What is the current flowing through the circuit?

Accepted Answer

3 amps

Answer

Using Ohm's Law, current = voltage ÷ resistance = 12V ÷ 4Ω = 3 amps.

Question 3

If a bolt has a coarse thread (fewer threads per inch), how does it compare to a fine-threaded bolt of the same size when turned one full revolution?

Accepted Answer

It advances more distance

Answer

Coarse threads have a larger pitch (distance between threads), so each full revolution advances the bolt a greater linear distance than fine threads.

Question 4

A spring is compressed by 3 inches with 30 lbs of force. How much force is needed to compress it 5 inches?

Accepted Answer

50 lbs

Answer

By Hooke's Law, force is proportional to displacement; the spring constant is 10 lbs/inch, so 5 inches requires 50 lbs.

Question 5

A block-and-tackle system has 4 rope segments supporting the load. If the load weighs 200 lbs, how much pulling force is required (ignoring friction)?

Accepted Answer

50 lbs

Answer

With 4 supporting rope segments, the mechanical advantage is 4, so required force = 200 ÷ 4 = 50 lbs.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC FCTC Test Applying Mechanical Reasoning Questions and Answers 3