The escape velocity for a body projected vertically upwards from the surface of earth is 11 km / s. It the body is projected at an angle of 45°, with the vertical, the escape velocity will be:
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- What is the force direction in each case? $ #7a. B # 7c. Copyright 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. 180 X X X XX X X to #7b. ▬▬►ỹ #7d. × × × × x A Custor#8?6. LO 7: Using the symmetry of the arrangement, determine the direction of the force on q in the figure below, given that qa=qb=7.5 µC qc=qd=-7.50μC. a. Draw a free body diagram of q. b. Due to symmetry the direction of the net force is A. B. C. D. In the +x direction In the -x direction In the +y direction. In the -y direction. Hint: For each force draw the x and y components. Some will add and some will cancel. c. Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q = 2.00 μC.
- 1. Considering a unit vector u4 = A / A, which of the following are properties of u,? (circle all correct responses) a. u, has the same units as A b. ил1 c. u, points in the same direction as A d. uA < A e. u, is unitless 2. Considering two force vectors F1 = Fii+ Fj+ F1,k and F2 = F2i+ Fj + F2,k with their unit vectors ui = F1 / F; = (u1x) i+ (u1) j+ (u12) k and uz = F2 /F2= (u2) i+ (uz) j+(uz:), which of the following are valid calculations for the resultant force FR=F1+ F;? (circle all correct responses) a. FR = (Fix+ F2)i+(Fiy+ F2) j+(Fiz+ F2) k b. FR = (F1 + F:) [(uix+ u2x)i+(uiy + u2) j+ (uiz + u2) k] c. FR = (F? + F?)0S [(u!x+ u2) i+ (uiy + uz) j+ (uiz + u2:) k] d. FR = (F1uix+ Fru2x)i+ (F1u1y+Fruz»)j+(F1u1:+ F2uz)k %3D 3. Consider two vectors A and B with unit vectors u4 = A/ A and ug = B / B and angle between A and B is 0. Which of the following are correct with regard to dot products? (circle all correct responses) a. A-B is a scalar b. A·B is a vector c. If A and B are…QUESTION 5 A battery connected in the circuit given below has an emf of 20.0 V and an internal resistance of 5.51 milli-ohm. The current flowing through the circuit is 31.6 A. a) Find the resistance R in the circuit upto three significant figures. b) Calculate the voltage drop across the internal resistance r c)) Calculate the voltage drop across the external resistance R Submit the resistance you obtained in a) (with three significant figures) as your answer. You are required to show your work for a), b) and c) in the file you submit.X Z Z2 I Z1 Ф 0₂ d 014 P y
- The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗ F. In ordered pair notation, write down the components of vector D G.What is true about B⃗ and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.Рow do we decide selecting a point for FBD. What happens if we select point D or B as the point at the origin? What does FC = 392.4 N represent on the FBD?4. Consider again the situation given in Problem 1. (a) Find the center-of-mass of the system made up of m, and m,, taking the origin to be at P. (b) Draw a free body force diagram with the all of the mass (m, + m,) concentrated at this center-of-mass position. (c) Find the torque about P due to (m, + m2) concentrated at this center of mass position. How does this result compare to (d) in Problem 1? [We will make use of this technique often for certain types of future problems.]