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### 2 lbs

Dave and Deborah push a cart with a force of 5 lb. and 7 lb. respectively, in the opposite direction. The magnitude of the resultant is:

### 15 lbs

Bill and Mary push a cart with a force of 6 lb. and 9 lb. respectively, in the same direction. The magnitude of the resultant is:

### 15 lbs

Kevin and Sandy push a cart with a force of 7 lb and 8 lb. respectively, in the same direction. The magnitude of the resultant is:

### 3 volts per lamp

A series circuit containing one 6-volt battery and two identical lamps would produce a voltmeter reading of:

### 6 volts per lamp

A parallel circuit containing one 6-volt battery and two lamps would produce a voltmeter reading of:

### The object remains in place

Which of the following is NOT an effect of mechanical work on an object?

### Radius of the circle in which the force is applied.

The prime mover in an angular mechanic system is called torque which is determined by multiplying the force applied, by the lever arm. The lever arm is equal to the:

### 37680 joules

How much work is done while an electric motor drives a pump through 40 revolutions, given the motor delivers 150 N×m of torque?

W=T x ∅

### 10.4 meters

520 N×m of work is done when a 50 Newton force is moved a distance. How far is the load moved?

W=F x d

### 2070 in×lb

A wrench with an 18 inch handle turns through an angle of 2.3 radians while a force of 50 lbs. is applied to the end of the handle. How much work is done?

T=F x L

W=T x ∅

### 240

Two hundred Newtons of force are required to lift a mass 1.2 meters above the floor. How many Newton.meters of work are done?

W=F x d

### 9.0 × 10⁴ N×m

A loaded cart is pulled a distance of 100 meters by an electric truck that exerts 900 Newtons of force to pull the cart at a constant speed. If the 100 meters is covered in 12 seconds, how much work is done?

W=F x d

### 129.5

37 Newtons of force are required to lift a mass 3.5 meters above the floor. How many Newton.meters of work is done?

W=F x d

### Reused

The hydraulic brake system in most cars can be described as a closed fuel system because the fluid is:

### Pressure times change in volume

In fluid systems, the work equation may take two forms: work equals pressure difference times fluid volume moved, or work equals:

### It is a way to distinguish between torque and work units

In the English system of units, why is torque expressed in lb×ft and work in ft×lb

### .045 N×m

A pressure of 200 N/m² is applied to a pneumatic cylinder that has a piston with a 3 cm diameter and a 0.32 m stroke. How much fluid work can be done in one piston stroke?

W=P(∆V)

V=.7854d² (l)

### Weight Density

The work required to lift water from a lake to a tank above the lake is given by the formula W=∆P×V. To find the pressure difference (∆P), you must know the height (h) of the lift as well as the:

### 56.6%

A box weighing 200 pounds is pushed 8 inches on to a conveyor belt by the shaft on a hydraulic cylinder. The cylinder has a 3 inch diameter and a pressure of 50lb/in2 applied to move the piston and shaft. How efficient is the system?

W=F x d

W= ∆pV

V = .7584d²(l)

% Eff = W₀/W₁

A = 7854d²

### 4 × 10⁵ N×m

A pump lifts 2 cublic meters (m³) of water through a pressure difference of 2 × 10⁵N/m². How much fluid work is done by the pump?

W= ∆PV

### 4071.5 cm³

An engine has eight cylinders each has a bore (diameter) of 9 centimeters and a stroke of 8 centimeters. What is the engines's displacement in cubic centimeters?

V = .7584d²(l)

### 500 joules/cylinder

In an engine where each cylinder is ten centimeters in diameter and has a stroke of twelve centimeters, how much work can be done by each cylinder if combustion produces 530.56 x 10³ N/m² of pressure in each cylinder when the spark plug fires?

V = .7854d²(l)

W= ∆pV

### 62.4 lb/ft³

160 lb/ft² of pressire is required to lift a certain liquid 25 feet from a tank car to a storage tank. What is the weight density of the liquid?

∆p= pwh

### 15 ft×lb

A hydraulic cylinder rod is moved 1 ft. by pressure of 60 lb/ft². What is the amount of fluid work done if 0.25 ft³ of oil is displaced?

W = p(∆V)

### .253 N×m

A pressure of 300 N/m² is applied to a pneumatic cylinder that has a piston with a 5 cm diameter and a 0.43 m stroke. How much fluid work can be done in one piston stroke?

W=P(∆V)

V = .7854d² (l)

### 5000 joules

5,760 joules of electric work is done on an electric motor that is connected to an overhead crane that lifts steel "I" beams. each beam weighs 2,000 Newtons and is lifted a height of 2.5 meters, how much work is done by the motor while lifting on the beam? W=F x d

### 80%

An electric motor does 800 Nm of useful work while it uses 1000 joules of electrical energy. The efficiency of the motor is:

%Eff.= W₀/W₁ x 100

### 50 coulombs

A battery-powered windshield wiper motor is activated for 10 seconds and draws a current of 5 amps at a voltage of 12 volt. The total amount of charge moved is:

I = q/t

### 6 volts

Forty eight thousand joules of work is done in an electrical circuit when 8,000 coulombs of electrical charge is moved. What voltage difference causes the charge to move?

W = Vq

### 750000 joules

An electric motor that is connected to an overhead crane lifts stacks of reinforcement rods. Each stack of rods weighs 3,000 Newtons. How much work is done by the motor if it lifts 5 stacks of rods 50 meters?

E=F x d

### 80%

An electric motor does 317 Nm of useful work while it use 400 joules of electrical energy. The efficiency of the motor is approximately:

%Eff.= W₀/W₁ x 100

### 8.18 volts

27 thousand joules of work is done in an electrical circuit when 3,300 coulombs of electrical charge is moved. When voltage difference causes the charge to move?

W= Vq

### Meters per second

When using the international system of units (SI), the mechanical rate is measured in:

### Rate = Displacement-like Quantity / Elapsed Time

The general unifying equation for expressing rate is:

### Appear to stand still

A wheel is turning at a rate of 240 RPM. A strobe light is set at 240 FPM. Which one best describes what will happen? The wheel will:

### 2 feet per second

A box placed on a conveyor belt, moving at a constant speed, travels 240ft in 2 minutes. What is the speed of the box and the conveyor in feet per second?

V = I/t

### 50 miles per hour

A bus changes speed frequently. The total distance it travels is 850 miles. The total driving time is 17 hours. What is the average speed of the bus?

V = I/t

### -.08 rads/second²

A brake is applied to a flywheel for 5 seconds, reducing the angular velocity of the flywheel from 2.2 rads/second to 1.8 rads/second. What is the angular acceleration of the flywheel?

a = (Vf - Vi)/t

### The flow rate is inversely proportional to the distance traveled

When gasses are compressed, storage tanks should be located as close to the point of use as possible because:

### 833

A supertanker loaded with 1.5 million gallons of crude oil is to unload at an offshore discharge buoy. The ship pump can discharge the oil in 30 hours. What is the volume flow rate of crude oil in gallons per minute?

Qv = V/t

### 2.5 gallons per hour

IF a leak in a faucet causes a water loss of 120 gallons in two days, what is the volume flow rate per hour? Qv = V/t

### 3 gal/hour

If a leak in a water line causes the loss of 144 gallons in 2 days, what is the volume-flow rate of the leak?

Qv = V/t

### 920 gallons

A bath tub faucet drips 200 gallons in ten days. How many gallons will have been lost in 46 days? Qv = V/t

### 5 cubic inches/sec

A weir gage, with a cross-sectional area of 10 square inches at a height of 3 inches at the weir is being used to measure liquid flow. If the float takes 20 seconds to move 10 inches. what is the volume flow rate in the weir?

V = Al

Qv = V/t

### 2 gallons per second

If a factory produces 120 gallons of hydrogen peroxide per minute, how many gallons of hydrogen peroxide are produced per second Qv = V/t

### 380,952

A supertanker loaded with 2 million gallons of crude oil run aground and begins to leak oil. The leak causes the ship to lose 15,873 gallons per hour. How many gallons of oil will be spilled during a 24 hour period? Qv = V/t

### 2160

A toilet leaks 1 gallon of water every 20 minutes. Approximately how many gallons will be lost in a month? Qv = V/t

### 60 coulombs

Find the charge that flows through an electric iron in 10 seconds if the iron is rated at 6 amperes. I = q/t

### 6.25 × 10¹⁸

A generator produces a current of one ampere. How many electrons are induced in the coils in one second?

### Voltage increments

The vertical volts per division control of an oscilloscope is used to adjust the:

### 420 coulombs

Find the charge that flows through an electric toaster in 1 minute if the toaster is rated at 7 amperes.

I = q/t

### Latent heat

When a substance (such as water) goes from a solid to a liquid state without a change in temperature, the heat added during the transformation is called:

### 4000 Btus per hour

A toaster element produces 2000 Btus of heat energy in 30 minutes. What is the heat-flow rate?

### 300000 Btus

A heater is rated a 25,000 Btu/hr. What is the heat energy generated in 12 hours in a 144 square foot room?

QH = H/t

### Zero degrees Celsius

When using type "E" thermocouples in laboratory experiments, what reference temperature is used to construct the temperature chart?

### 15 lb.

A wooden crate that weighs 50 lb. is pilled across a wooden floor at a constant speed. The coefficient of friction for wood on wood is 0.3. What is the frictional force necessary to keep the crate moving?

F = µN

### 0.4

It takes a fore of 20 lb. to move a 50 lb. wooded crate across a stone floor. What is the coefficient of friction for wood on stone? F = mN

### 2800 lb.

The weight of a truck is 4000 lb. and is parked on a wet concrete loading ramp. Another truck bumps into it and slides it our of position. What force was necessary to overcome friction? Static friction of rubber on wet concrete is 0.7.

F = µN

### 66.67 N

A plastic box weighing 100 N will start to slide on a metal truck bed when a push of 50 lb. is applied. What is the coefficient of static friction for plastic on metal? F = µN

### 66.67 N

It takes 20 Newtons of force to move a wood desk across a wood floor. The coefficient of kinetic friction for wood on wood is 0.3. How much does the desk weigh.

F = µN

### 16.67 N/(m/sec)

A drag force of 200 N is experienced by a boat moving through water at a speed of 12 m/sec. What is the drag resistance.

RD = F / V

### 0.12 N/(m/sec)

What is the drag resistance of a rocket with a drag force measured at 6 Newton when traveling at 50 m/sec?

RD = F / V

### 0.2 gal/min

What is the fluid flow rate when the pressure drop (∆p) is 5 lb/in² and the fluid resistance (Rf) is 25 lb/in² / gal/min

RF = P/Qv

### 0.36 (lb/in²) / (gal/min)

Water flowing through a pipe at 550 gal/min has a pressure difference of 200 lb/in². What is the fluid resistance?

Rf = P/Qv

### 1100 lb/in²

The resistance (Rf) in a fuel-transfer pipeline is 2 (lb/in²)/(gal/min). Fuel moves through the pipe at a volume flow rate of 550 gal/min. What is the pressure difference along the length of the pipeline?

Rf = P/Qv

### 0.2 gal/min

What is the approximate fluid flow rate when the pressure drop (∆p) is 7 lb/in² and the fluid resistance (Rf) is 33 lb/in² / gal/min?

Rf = P/Qv

### 0.53 (lb/in²) / (gal/min)

Water flowing through a pipe at 330 gal/min has a pressure difference of 175 lb/in². What is the fluid resistance?

Rf = P/Qv

### 6 volts

A current of 0.25 amperes flows through a 24 ohm resister. The voltage drop across the resistor is: V=I x R

### 3.0

A current of 0.03 amperes flows through a 100 ohm resistor. The voltage drop across the resistor is: V=I x R

### 384.6 ft³

3.6 x 10⁶ ft lb of work is required to mobe a volume of water from a lake to a tank 150 ft above the lake. How much water is pumped while doing this much work?

pw = 62.4lbs/ft³ (for water)

∆p = pw x h

W = ∆pV

### 0.25 F°/Btu/hr

The temperature difference (∆T) between the inside and outside of an electric oven is 300 F°. The heating element must supply 1200 Btu/hr of heat energy to the oven to overcome the heat-flow rate out of the oven. Find the thermal resistance of the oven walls. Rt = ∆T / Qh

### 20 kcal/hr

A firefighter's suit has a thermal resistance of 50 C°/kcal/hr. When exposed to a fire the temperature difference from outside to inside the suit may be 1000 C°. What is the heat-flow rate through the suit at 1000 C°?

RT = ∆T / Qh

### 307.69 kcal/hr

A house has a thermal resistance of 0.13 C°/kcal/hr. What is the buidings heat-flow rate when the temperature difference fro minside to outside is 40C°? RT = ∆T / Qh

### 109.37 C°/kcal/hr

The temperatire inside a house is 24°. The temperature outside is 4° A furnace supplies 2625 Kilocalories to the house every hour to maintain a constant temperature of 24°. What is the overall thermal resistance of the house?

Rt = ∆T / Qh

### 400 Btu/hr

A hot water heater runs at 140°F in a room with a temperature of 80°F. The insulation of the heater has a termal resistance of 0.15 F°/Btu/hr. What is the heat flow rate?

RT = ∆T/Qh

### .23 F°/Btu/hr

The temperature difference (∆T) between the inside and outside of an electric oven is 350 F°. The heating element must supply 1500 Btu/hr of heat energy to the oven to overcome the heat-flow rate out of the oven. Find the thermal resistance of the oven walls. RT = ∆T/Qh

### 200 kcal/hr

A house has a thermal resistance of 0.15 C°/kcal/hr. What is the building's heat-flow rate when the temperature difference from inside to outside is 30C°? Rt = ∆T/Qh

### 20000000 ft×lbs

What's the potential energy of a cloud at 10,000 feet if the condensed moisture in the cloud has a total weight of 2,000 pounds? Ep = wh

### 4 pounds per inch

A spring i compressed 4 inches by a force of 16 pounds. What's the spring constant (k) for this spring? K = F/d

### 2940000 N×m

The density of water is 1000 kg/m³. The mass of a volume of water is equal to the density of the water times its volume. How much potential energy is stored in 75 m³ of water that is raised to a height of 4 meters?

Ep = wh

W = m × g

### 5000 ft×lb

What is the gravitational potential energy stored in a box that weighs 1000 lbs. and located 5 ft above the floor? Ep = wh

### 112500 ft×lb

Water is stored in a storage tank of a factory fire-sprinkler system. The tank is located 75 feet above the factory floor. How much potential energy is released when 1500 lb. of water is released into the system. Ep = wh

### 343200 ft×lb

A water pump is rated at 4 hp and pumps 5.5 cubic feet of water per minute. The pump lifts the water 100 feet into a tank. How much potential energy is added to the water after 10 minutes of pumping?

Ep = wh

### 2500000000 ft×lb

5000000 lbs of water are stored behind a dam that is 500 feet above a town. How much potential energy would be released if the dam collapsed? Ep = wh

### 2.4 pounds per inch

A spring is compressed 5 inches by a force of 12 pounds. What's the spring constant (k) for this spring? K = F/d

### 2141 N×m

How much kinetic energy can be stored in a flywheel that has a radius of 0.25 meters, a mass of 50 kg, and is rotating at 500 rpm?

I = ½ mr²

Ek = ½w²

### 25 kg×m²

Calculate the moment of intertia for a disk type flywheel. The flywheel has a mass of 200 kg and a radius of 0.5 meters.

I = ½ mr²

### 34256.5 J

A flywheel has a moment of inertia of 25 kg×m² and is rotating at 500 rpm (52.35 rad/sec). How much rotational kinetic energy is stored in the flywheel?

Ek = ½ Iw²

### 1000000 J

A box of cargo was pushed out of an open airplane and its parachute failed to open. The box weighed 1,000 N and the air plane was at an altitude of 1,000 meters when the cargo box was pushed out of the plane. How much kinetic energy did the box have at the instant it hit the ground?

Ep = wh

### 480000 J

Steam under high pressure flows through a nozzle and is forced through a turbine. The steam has a density of 60 kg/m³ and flows with a speed of 20 m/sec. In one second, 40 m³ of steam strike the turbine blades. How much kinetic energy does the steam have?

Ek = ½ mv²

m = pV

### 878.9 ft×lb

Water under high pressure strikes the blades of a turbine in a dam. During each second, 1,000 lb. of water moving at 7.5 ft/sec strike the turbine blades. How much kinetic energy does the water have?

### Ep = ½ C(V)²

Which of the following equations is the correct equation for calculating the potential energy stored in a capacitor?

### 0.0625 J

Find the energy stored in a capacitor rated at 50 µF (50 × 10⁻⁶ F) where the voltage difference across the plates is 50 volts.

Ep = ½ C(V²)