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- In Figure P1.49, find (a) the side opposite , (b) the side adjacent to . (c) cos , (d) sin , and (c) tan . Figure P1.49FA- 3 KN 3. If Fg = 2 kN and the resultant force acts along the positive u axis, determine the magnitude of the e 30 00 resultant force and the angle 0. 8888y 1 40 4N 65° 6N (d) What is the magnitude of the total force | A+B|? (e) What is the angle between the total force and the +x axis?
- The angle (in degree) between vector A= 3i+3j-4k and vector B=i-5j+6k is 1. O161.2 2. O141.6 3. O127.6 4. O118.2 5. O111.7Given: A= 3i-4j B=-5i+ 6j+ 2k. Find a. A x Bb. angle between A and BC) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= ħn1cn2Gn3 h = 1.0545717260000002 x 10-34kg m²s-1 c = 299792458 m/s where: the Plank constant: the light speed: and the universal constant of gravity: kg¬!m³s-2 n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. = 6.673848 x 10-11 Example: {velocity}Plank=c=3.00x10® m/s [n1=0, n2=1, n3=0] Calculate the natural unit of n1= acceleration {a}Plank (3 slgnificant n2= {a}Plank= х 10 m/s? figures) [find n1, n2, n3 and take special care of the order of magnitude] n3= D) Find the area of Palestine in square miles: Apalestine=27000km²= x mile?. Find x. Use: 1 mile=5280 ft ... 1ft=12 inch ... 1inch=2.54 cm х
- If the F1= F2 = 40 KN determine the angle θ with y axis and o with y axis so that the resultant force is directed along the positive y axis and has a magnitude of FR= 30 kN?If the magnitude of the resultant force is 3100 N, directed along the negative y axis, determine the magnitude of F and it's direction measured counterclockwise from the positive x axis. 55° 13/ 12 850 N 2000 N F = ?A force of 100N makes an angle Determine both the x-component with the x-axis and has a y-component of 30N. of the force and the angle e.
- When you are swimming at the bottom of a pool, the water above and around you exerts force on your eardrum. Calculate the force (in N) exerted on your eardrum when you are at the bottom of a pool that is 5.0 m deep. Assume that the area of your eardrum is 1 cm^2 and the density of water is 1000 kg/m^3 (10,000 cm^2 = 1m^2) (Ans: 5N) To solve this, which of the following equation/s should you use (check as many that best applies) O Q = mL O F1_ F2 A1 A2 O F=ma O A1V1= A2V2 O fEdA = denc €0 Ο ΔL αLo Δ . O du = dQ - dW or AU= Q- W O PV = nRT Pz +pgh2 + pv=P1+pgh1+ F Op= O as-S O P= pgh O e=! Tc 1- Tn Ow-ov V2 W = O Fp = P fluidgV submerged Op =m/V F = 4πεο O Tk = T+273.15KGiven: JA = 19.3 10A = 29.1° B: B₂ = 35.7, By = -48.6 (a) Calculate the x-components and y-components of Ã. A₂ = Ā: Ay = 4. (b) Calculate the length and direction of B. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. B = 0. 0 OB= (c) Calculate the components of the vector sum of à + B = Č: C₁= 0c= Cy= 4. (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= 0An object is pulled by two people in opposite directions. Person A pulls with 4023 N at 14 from the +y-axis. Person B pulls with force 5119 N at -18° form the +y-axis. The magnitude of the resultant pull is: Select one O9137N