Question Solved1 Answer 64. Point charges 91 = 10 uC and 92 = -30 uCare fixed at >=(3,0î – 4:09)m and r2 = (9.0 î +6.0 ſ )m. What is the force of q2 on qı ?

Question 1 A pro golfer has just hit a hole-in-one. If the distance from the tee to the hole is 215 m and the ball was in the air for 7.00 s, with what speed must the golfer have hit the ball? Assume the tee and hole are at the same height 30.7 m/s 34.3 m/s 15.3 m/s 46.0 m/s Question 2 Christiano Ronaldo kicks a soccer ball with an initial velocity of 24.0 m/s at an angle of 24.0“. How far away does the ball land? 47.8 m 19.4 m 98.1 m 43.7 m Question 3 A plane needs to drop supplies off to victims of natural disasters around the world. The first stop is for flood victims but they must drop the box so it lands perfectly on a target. If they are flying at 140. m/s and are 99.0 m above the ground, what distance before the target should they drop the package? 784 m 629 m 474 m 31.1 m

Question 4.9. Locate the centroid y of the beam's cross-sectional area and then determine the moments of inertia of this area and the product of inertia with respect to u and v axes. The axes have their origin at the centroid C. (Use Mohr's Circle) Solution 200 mm 25 mm 25 mm 60⁰ 75 mm 75 mm 25 mm y Question 4.9. Locate the centroid y of the beam's cross-sectional area and then determine the moments of inertia of this area and the product of inertia with respect to u and v axes. The axes have their origin at the centroid C. (Use Mohr's Circle) Solution 200 mm 25 mm 25 mm 60⁰ 75 mm 75 mm 25 mm y

A machine produces electrical components. 99.7% of the components have lengths between 1.176 cm and 1.224 cm. Assuming this data is normally distributed, what are the mean and standard deviation? Another machine produces electrical components; however for this machine there are 68% of the components have lengths between 1.176 cm and 1.224 cm. Assuming this data is normally distributed, what are the mean and standard deviation?

2) Create a maths problem and model solution corresponding to the following question: "Find the directional derivative of the following two-variable function for the supplied point and unit vector" Evaluate the directional derivative at the point (2, 5). Ensure that your supplied function uses both x and y, has 3 terms, and that at least one of those terms contains vx . You may choose the vector representing the direction you will evaluate the directional derivative in, and the derivative must be a multiple of 2. 3) Create a maths problem and model solution corresponding to the following question: "Determine the derivative with respect to x for the following function" Your problem should provide a function that requires use of the chain rule and the product rule to differentiate, contains tanh(2x), and produces a derivative that includes In(3) 4) Create a maths problem and model solution corresponding to the following question: "Evaluate the following integral using trigonometric substitution" The integral should make use of the substitution x = atan, and also require a second substitution to solve. The square root component should be multiplied by a polynomial.

4) Create a maths problem and model solution corresponding to the following question: "Evaluate the following integral using trigonometric substitution" The integral should make use of the substitution x = atane, and also require a second substitution to solve. The square root component should be multiplied by a polynomial.

A rectangular tank 6 x 8 ft is filled with a gasoline to a depth of 80 ft. The pressure at the gasoline is 14.7 psi. Find the pressure at the bottom of the tank and force exerted on the bottom.