2. Use Stokes' Theorem to evaluate ff, Vx F n dS where F(x, y, z) =< xy, yz, zx > and C is the part of the sphere x? + y? + z? = 5 that lies above the plane, z = 1, and S is oriented upwards.
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- 13 B Consider the two vectors given in the figure, what is their DIFFERENCE in the unit vector notation? *A golf ball is struck at an initial speed of 8.0 m/s 35 degrees above the horizontal. What is the speed of the ball when it returns to the same horizontal level? a) 4.0 m/s b) 8.0 m/s c) 9.8 m/s d) 16 m/sThe components of vector A are given as follows: A = +7.6 A = -6.4 The magnitude of A is closest to: Select one: a. 9.9 b. 8.9 C. 12 d. 11 e. 7.9
- Can I get an explanation of this problem? Or done in a different method (I don’t understand how they got a lot it) thank you!!A projectile is launched horizontally off from a tall building at a sped of 50m/s. After three seconds, the speed of the projectile is closest to b O c Od 40 m/s 50 m/s 60 m/s 30 m/sA football is thrown by a quarterback (from shoulder level) to a receiver downfield, who catches it at shoulder level. At what point is the ball's speed at a minimum? (assume air resistance to be negligible). A. (a) just after leaving the quarterback's hand. B. (b) just before arriving at the receiver's hand. C. (c) at the top of the trajectory. D. (d) the speed is constant throughout the entire trajectory.
- 5. The positions of two particles are given below (using the standard conventions for unit vector notations). Draw these position vectors on the graph. -5 -4 -3 -2 7 -1 7₁ = 3î - 21 7₂2₂ = î+3ĵ y 4 3 2 1 -1 -2 -3 -4 1 2 3 4 5 X28 a) 5.21 B) 2.15 NS) 4.03 D) 3.74 TO) 2.75A rifle that shoots bullets at 474 m/s is to be aimed at a target 46.1 m away. If the center of the target is level with the rifle, how high above the target must the rifle barrel be pointed so that the bullet hits dead center? Number i Units
- V a. R %3D If the speed of a circularly moving object doubled, the centripetal acceleration of that object would 1) increase by a factor of two (2) 2) decrease by a factor of four (4) 3) remain constant 4) increase by a factor of four (4) 5) decrease by a factor of two (2)A 20-g bead is attached to a light 120 cm-long string as shown in the figure. This bead moves in a horizontal circle. If the angle a is measured to be 18°, what is the speed of the mass? 120 cm O a. 1,3 m/s O b.0.55 m/s O c. 1.1 m/s O d.3.8 m/s O e. 2.0 m/s1. A force is given as Ẻ = xy² x + (x²y + y) ŷ. Calculate § F. dỉ along the circumference of a circle of radius 3.