400

Physics Dimensions Level: High School

s is a distance with unit (L) , t is a time with unit (T)and theta is an angle in radians What is the required dimension for the quantity C3 in the expression s = C3 cos (C4 t) ?



399

Physics Vectors Level: High School

Sum of Three Vectors

The figure at “click here” shows three vectors of length A = 68.5, B = 40.4 and C = 44.4 . The angles are theta a = 27.9 degree and theta b = 55 degree , and C points along the negative y-axis .

(a) Determine the length of the vector A-B +C

(b) Calculate the angle of this vector




398

Physics Vectors Level: High School

Vector Magnitude

The corners of an equivalent triangle lie on a circle of radius 2.84 m . Calculate the length of a side of the triangle .



397

Physics Vectors Level: High School

Vector - Magnitude

The figure which shown at “click here” shows three vectors of lengths A = 63.9, B = 38.4, and C = 44.6. The angles are theta a = 28.0 degree and theta b = 54.98 degree , and C points along the negative y-axis

(a) Determine the length of the vector A – C.

(b) Calculate the angle of this vector.




396

Physics Vectors Level: High School

Vector - Magnitude

A lighthouse that rises h1 = 50.6 ft above the surface of the water sits on a rocky cliff that extends d = 20.1 ft from its base, as shown in the figure at "click here". A sailor on the deck of a ship sights the top of the lighthouse at an angle of theta = 31.5 degree above the horizontal. If the sailors eye level is h2 = 14.0 ft above the water, how far is the ship from the rocks ?



395

Physics Vectors Level: High School

Vector Magnitude

A basketball player runs down the court, following the path indicated by the vectors A,B and C in the figure which is shown at “click here”. The magnitude of these three vectors are A = 11.1 m, B = 22.8 m, C = 6.95 m. And as shown, theta 1 = 45.8 degree and theta 2 = 27.7 degree .

(a) Calculate the magnitude of the net displacement of this player.

(b) What is the direction of the displacement of this player ? Give the angle counterclockwise relative to the right .




394

Physics Vectors Level: High School

Vector - Magnitude

(a) If Vx = 19.40 units and Vy = -15.80 units , determine the magnitude of V.

(b) Determine the angle of V with respect to the x-axis .




393

Physics Units Level: High School

Measurement and Error Analysis

By using the available equipment and references , a technician has determined the average mass (m), radius (r) and volume (v) for a shipment of metal right circular cylinders :

m = 71.8 plus or minus 1.2 g

r = 0.57 plus or minus 0.05 cm

v = 9.42 plus or minus 0.64 cm^3

Look at the equation used to calculate the frictional error in cylinder height in question 392 . Based on the given numbers , which term (parameter) contributes most to the calculated uncertainty in cylinder height ?



392

Physics Units Level: High School

Measurement and Error Analysis

By using the available equipment and references, a technician has determined the average mass (m), radius (r) and volume (v) for a shipment of metal right circular cylinders :

m = 71.8 plus or minus 1.2 g

r = 0.57 plus or minus 0.05 cm

v = 9.42 plus or minus 0.64 cm^3

Using the equation shown in the above answer, what is the calculated uncertainty (standard deviation) for the average cylinder height ?



391

Physics Units Level: High School

Measurement and Error Analysis

By using the available equipment and references, a technician has determined the average mass (m), radius (r) and volume (v) for a shipment of metal right circular cylinders :

m = 71.8 plus or minus 1.2 g

r = 0.57 plus or minus 0.05 cm

v = 9.42 plus or minus 0.64 cm^3

What is the equation used to calculate the frictional error in cylinder height based on the answer that you obtained in the above question ?



390

Physics Units Level: High School

Measurement and Error Analysis

By using the available equipment and references, a technician has determined the average mass (m), radius (r) and volume (v) for a shipment of metal right circular cylinders :

m = 71.8 plus or minus 1.2 g

r = 0.57 plus or minus 0.05 cm

v = 9.42 plus or minus 0.64 cm^3

What is the average height for each metal right circular cylinder ?



389

Physics Units Level: High School

Measurement and Error Analysis

By using the available equipment and references , a technician has determined the average mass (m) , radius (r) and volume (v) for a shipment of metal right circular cylinders :

m = 71.8 plus or minus 1.2 g

r = 0.57 plus or minus 0.05 cm

v = 9.42 plus or minus 0.64 cm^3

What is the average density of each metal cylinder ?



388

Physics Units Level: High School

A 747 jetliner is cruising at a speed of 520 miles per hour . What is the speed in kilometers per hour ?



387

Physics Units Level: High School

If a mass of a wasp is 5 x 10 - 6kg , what is the mass in grams , milligrams , and micrograms ?



386

Physics Units Level: High School

What are the correct conversion between m^2 , cm^2 and mm^2 when determining areas of surfaces ?

Displaying 6031-6045 of 6371 results.