ESAS

0\.18 N

Four charges are located on the corners of a square. The sides of the square have a length of 0.05 m. The upper left corner has a charge of q. The upper right corner has a charge of -q. The lower left corner has a charge of 2q. The lower right corner has a charge of -2q. If the magnitude of q is 1.0x10 -7 C, find the magnitude of the force exerted on the charge at the lower left corner of this system.

376,200 J

The heat capacity of water is  . Calculate the energy required to boil 1.2 L of water, starting at 25 °C.

The momentum of the truck increases, and the kinetic energy of the truck increases.

If you have set Cruise Control to 10 m/s what will happen to the kinetic energy and momentum of the truck as a result of the accumulating rain in the bed of the truck? You can assume that the road you are driving on has negligible friction and that you can ignore the effect of the rain droplets hitting the front of the vehicle

20 N.s to the East

A baseball ( 1 kg ) coming from the East is approaching Barry at 10 m/s. Barry hits the baseball back to where it came from and the baseball leaves his bat at 10 m/s. What is the impulse Barry delivered to the baseball?

2\.81 N (Attractive)

A point charge (q1) has a magnitude of 3 x 10-6 C. A second charge (q2) has a magnitude of -1.5 x 10-6 C and is located 0.12 m from the first charge. Determine the electrostatic force each charge exerts on the other.

0\.1988 in

A steel wire 30 ft long, hanging vertically, supports a load of 500 lb. Neglecting the weight of the wire, determine the required diameter if the stress is not to exceed 20 ksi and the total elongation is not to exceed 0.20 in. Assume E = 29 × 106 psi.

49\.05 m/s

What was its initial velocity?

122\.625 m

How high did it go?

5 secs

At what time did it travel until it reaches the highest point?

7\.0 x 103 J

Sheri has just arrived at the airport and is dragging her suitcase to the luggage check-in desk. She pulls on the strap with a force of 190 N at an angle of 35° to the horizontal to displace it 45 m to the desk. Determine the work done by Sheri on the suitcase.

0\.95 m3

At constant pressure, a cubic meter of pure oxygen gas from outside at 30°C going inside in a room temperature controlled at 15°C. What will be the volume of the gas inside the room?

1\.346

A beam of light going through a medium with an index of refraction of 1.14 has an angle of incidence of 48∘ with another medium. If the light wave is at a new angle of 39∘, what is the index of refraction for the second medium?

2\.5 x 107 Pascals

Find the stress.

1\.2 x 10-4

Find the strain.

2\.08 x 1011 Pascals

Find the Young's modulus of the material of the wire.

10\.44 cm

A cup of water sitting on a table outside in the sunlight is filled to the top. The sun happens to be 52° above the horizon and you notice the bottom of the cup has just become completely shaded. The cup has a depth of 20 cm and you realize you can calculate the width of the bottom of the cup.  Find the width in cm.

982\.77 N

A piece of wood 305 mm square and 3 m long, weighing 6288.46 N/m3, is submerged vertically in a body of water, its upper end being flush with the water surface. What vertical force is required to hold it in position?

4\.2 Joules

Determine the work done by Pete on the pitcher during the 48 cm push.

0\.8 J

Determine the kinetic energy of the pitcher when Pete is done pushing it.

0\.8 m/s

Determine the speed of the pitcher when Pete is done pushing it.

64 miles

Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mph and the other at 70 mph. How far must the faster car travel before it has a 15 minute lead on the slower car?

378\.13 kPa

At constant volume, a gas is heated from 30°C to 300°C. If the initial pressure inside the container is 200 kPa. What will be the resulting pressure?

175 N

Weight of an object in the air is 200 N. The object is placed in a liquid. Increase in volume of liquid is 2.5 m3. If specific weight of the liquid is 10 N/m3, what is the weight of the object in liquid?

1202\.5 kg/m2

A tank contains oil with specific gravity of 0.80, gasoline with specific gravity of 0.90, and sea water with specific gravity of 1.05. What is the pressure at a depth of 1.35 m if the depths of the liquids are 0.50 m, 0.60 m, and 0.80 m, respectively?

100\.76 J

Pharsa used a horizontal force 15 N to push a cart on a ramp which is 8.2m long at an angle of 35° above the horizontal. What work is done?

125,400

You owe P120,000 from a friend and promise to pay 6% simple interest. How much will you pay at the end of 9 months?

37\.11 %

A price tag of P150,000 is payable in 60 days. A 3% discount is offered if paid in 30 days. What is the rate of simple interest?

17\.65 %

A man borrowed from a bank under a promissory note that he signed in the amount of P60,000 for a period of one year. He received only P50,150 after the bank collected the advanced interest and an additional amount of P850 for notarial and inspection fees. What was the rate of simple interest that the bank collected in advance?

9\.42 %

An investment of P3M earns interest of 9% compounded continuously. What is the effective rate of interest?

17\.36 %

What rate in percent compounded monthly is equivalent to 18% compounded semi-annually?

8 %

When compounded bi-monthly, P150,000 becomes P223,183 after 5 years. What is the nominal rate of interest?

42,228

A man paid 10% as a down payment of P200,000 for a house and lot and agreed to pay the balance in monthly instalments for 5 years at an interest rate of 15%, compounded monthly. What were the monthly instalments in pesos?

0\.2163

Money is worth 8% compounded annually. For a uniform series of payments, what would be its capital recovery factor for a period of 6 years?

126,528

An investor deposits P10,000 at the end of each year in an account which gives a nominal annual interest of 5%, compounded continuously. How much sum will he accumulate in 10 years?

1,815.35

What payment X ten years from now is equivalent to a payment of P1,000 six years from now, if interest is 15% compounded monthly?

50,840

A fund is to provide an annual scholarship of P4,000 for the first 5 years, P6,000 for the next 5 years, and P9,000 thereafter. The fund will be established 1 year before the first scholarship is awarded. If the fund earns 12% interest, what sum must be deposited?

3,827.01

If P500.00 is deposited in an account at the beginning of each year for 6 years at an annual interest rate of 7%, how much can be withdrawn after 6 years?

1,960,785

Northern Construction and Engineering plans on opening an office in Duluth. Over the next 25 years, the office is expected to have a positive cash flow of $250,000 per year. At an interest rate of 12%, what is the equivalent present worth?

3,702,940

A man inherited a regular endowment of P100,000 every end of 3 months for 10 years. However, he may choose to get a single lumpsum payment at the end of 4 years. How much is this lumpsum id the cost of money is 14% compounded quarterly?

5,093.06

A man borrowed P300,000 from a lending institution which will be paid after 10 years at an interest rate of 12% compounded annually. How much should be deposit to a bank monthly in order to discharge his debt 10 years hence if bank interest rates are at 8% compounded annually

7 kg-m/s

What is the change in the momentum of the ball?

7 N-s    

What is the impulse exerted on the ball?

350 N

Calculate the average force exerted on the ball by the bat.

122\.987 ft

Determine the distance travelled in three seconds.

2\.987

Determine the acceleration in three seconds.

4\.515 𝑠

A ball is dropped from a building 100 m high. If the mass of the ball is 10 g, after what time will the ball strike the ground?

1\.25

Which of the following most nearly gives the uniform acceleration of the elevator.

676\.45 *N*

Which of the following most nearly gives the apparent weight of a 600 N man standing inside the elevator during its accent.

10,823.24

Which of the following most nearly gives the tension in the supporting cable.

18 fps^2

Determine the normal acceleration of the pulley at this instant.

24 fps^2

Determine the tangential acceleration of the pulley at this instant.

12 rad/s^2

Determine the angular acceleration of the pulley at this instant.

31\.19*MPa*

Determine the stress of the metal wire.

6\.25x10-4

Determine the strain of the metal wire.

49\.9*GPa*

Determine the Young’s modulus of the metal wire.

159\.15*MPa*

Determine the tensile stress of elasticity.

0\.01

Determine the tensile strain of elasticity.

15\.915*GPa*

Determine the tensile modulus of elasticity.

1,934.53 m

Assuming specific weight of air to be constant at , what is the approximate height of Mt. Banahaw if a mercury barometer at the base of the mountain reads 654 mm and at the same time another mercury barometer at the top of the mountain reads 480 mm?

1,045 kg/m2

A tank contains oil with specific gravity of 0.80, gasoline with specific gravity of 0.90, and sea water with specific gravity of 1.05. What is the pressure at a depth of 1.20 m if the depths of the liquids are 0.50 m, 0.60 m, and 0.80 m, respectively?

0\.68

A pressure gage at elevation 10 m at the side of a tank containing a liquid reads 80 kPa. Another gage at elevation 4 m reads 120 kPa. Find the specific gravity of the liquid.

0\.0173 m3

Which of the following most nearly gives the volume of the stone?

27\.05 kN/m3

Which of the following most nearly gives the unit weight of the stone?

2\.76

Which of the following most nearly gives the specific gravity of the stone?

4\.2 MJ

Calculate the quantity of heat required to raise the temperature of 11kg of water from 10°C to 100°C. Assume the specific heat capacity of water is 4200 J/(kg °C).

341 BTU

A  block of cast iron having a mass of 8kg cool from a temperature of 130°C to 40°C. How much of energy is lost by the cast iron? Assume the heat capacity of iro is 500 J/(kg °C).

1\.3 x 10-6 C

The force between two identical charges separated by 1.2cm is equal to 100 N. What is the magnitude of the two charges?

1,384,122

Two neutrally charged bodies are separated by 2cm. Electrons are removed from one body and placed on the second body until a force of 1.13 x 10-6 N is generated between them. How many electrons were transferred between the bodies? (Charge of a single electron, e=1.62 x 10-19 C)

4\.0 m3

At constant temperature, 10 m3 of air at STP will be compressed to 1.5 atm gauge. What will be the volume of the compressed air?

378\.13 kPa

At constant volume, a gas is heated from 30°C to 300°C. If the initial pressure inside the container is 200 kPa. What will be the resulting pressure?

0\.95 m3

At constant pressure, a cubic meter of pure oxygen gas from outside at 30°C going inside in a room temperature controlled at 15°C. What will be the volume of the gas inside the room?

100 °C

An isentropic process is done to compress a certain volume of air from STP to 3 atm. What is the resulting temperature of the compressed air?

1\.56 atm

A polytropic process at n = 2 is done to compress oxygen from 100 m3 to 80 m3. If the oxygen gas was initially at STP, find the resulting pressure

1\.3457 MJ

Find the work done in compressing air at constant temperature from 1.2 atm to 2 atm when the final volume was 13 m3

2\.2891 MJ

Find the work done in isentropically compressing Oxygen gas from 10 m3 to 2 m3 initially at STP.

2\.256 m/s

Calculate the speed of light in water.

279 nm

The wavelength of light in glass (n=1.5) is λ=450 nm. What is wavelength of this light in diamond (n=2.42)?

22°

Light strikes an air, water boundary of an angle of incidence of 30°. Calculate the refracted light ray in water.

21°

A light ray travels from air (n=1) into a glass (n=1.5) with an angle of incidence of 60°. The light ray continues to travel through the glass material into the diamond (n=2.42). At what angle does the light ray make with the normal line as it enters the diamond material?

48°

A light ray strikes a material (n=1.2) from an air to an incident angle of α=70° as shown. What is the angle β in which the light ray leaves the material? See Figure OP315.