Consider a cylindrical container of height "h" containing liquid of density ρ full to the brim. Now, a small hole is made on the side of the container at a depth "d" from the top. Calculate the range of the projectile. • Don't copy from other sources and explain the answer properly! • Don't use TORICELLI'S LAW directly

Consider a cylindrical container of height "h" containing liquid of density ρ full to the brim. Now, a small hole is made on the side of the container at a depth "d" from the top. Calculate the range of the projectile. • Don't copy from other sources and explain the answer properly! • Don't use TORICELLI'S LAW directly

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.4CYU: Check your Understanding A blue fly lands on a sheet of graph paper a point located 10.0 cm to the...

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Consider a cylindrical container of height "h" containing liquid of density ρ full to the brim. Now, a small hole is made on the side of the container at a depth "d" from the top. Calculate the range of the projectile.•Don't copy from other sources.•Don't use TORICELLI'S LAW directly.
Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units Problem: An airplane is flying on a heading of 45° with an airspeed of 500 mi/h and the wind is blowing on a heading of 315" at a speed of 75 mi/h. Find the drift angle of the plane. b. 9.2 а. 7.3° b. 9.2 С. 6.9° d. 8.5°
Review Vector A = 31 +1j and vector В - 5i — 3; +2 Part A What is the cross product A x B? Find the r-component. Express your answer as integer. • View Available Hint(s) ? [Ãx B] = Submit Part B Find the y-component. Express your answer as integer. • View Available Hint(s) V AE ? Submit Part C Find the z-component. Express your answer as integer. • View Available Hint(s) ? JÄx B], = Submit
Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units Problem: An airplane is flying at an elevation of 5,300 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 31° and to the other is 53°. How far apart are the cars? a) 10345 ft. b) 11235 ft c) 12815 ft d) None of the given
Using the component method, calculate the resultant (sum) of the following two vectors. Show all required calculations and diagrams below and identify the direction using the polar (positive) specification. Add the vectors on the applet in order to verify the resultant magnitude and direction. v1= (+135, -120) - componentsv2 = (-200, -45) - components a. Addition of the components and drawing of the resultant vector: b. Calculation of the resultant magnitude using the Pythagorean theorem: c. Calculation of the resultant direction using the tangent function: (express the direction in terms of the Polar (positive) specification).
A= 150g, 45 degrees B=200g, 0 degrees C= 150g, 270 degrees 1. Record you’re given values of the vectors A,B, and C 2 perform the addition of your vectors the graphical method. Measure the length of R, convert this value back into the resultant in gf units, and find the direction tetaR “i’m wondering if we first need to change the grams to gf by multiplying the mass times 9.8 m/s2, which will Be in N and then change it again to gf”
Check your Understanding A blue fly lands on a sheet of graph paper a point located 10.0 cm to the right of its left edge and 8.0 cm above its bottom edge and walks slowly to a point located 5.0 cm from the left edge and 5.0 cm from the bottom edge. Choose the rectangular coordinate system with the origin at the lower left-side comet of the paper and find the displacement vector of the fly. Illustrate your solution by graphing.
Two vectors are defined below. A = -3ỹ - 92 • Find P, if P = ẢxB. Also, draw Vector P. Finally, how would you find the direction of Vector P with your right hand? B = -6x + 5ŷ . If the norm of Vector A equals 9.49, what would the angle between Vector A and Unit Vector Y be when placed tail-to-tail?
3:04 M B O D • LTE 4 90% sion.masteringphysics.com 4 KExam 1 Review Item 10 10 of 10 A vector has a magnitude of 3.7 m and points in a direction that is 145° counterclockwise from the x axis. You may want to review (Page 71). Part A Find the x component of this vector. Express your answer using two significant figures. ? %D Submit Request Answer Part B Find the y component of this vector. Express your answer using two significant figures.
GOAL Find vector components, given a magnitude and direction, and vice versa. i a b حتی 30.0° Ax 30.0° x PROBLEM (a) Find the horizontal and vertical components of the d = 1.00 × 10² m displacement of a superhero who flies from the top of a tall building along the path shown in Figure a. (b) Suppose instead the superhero leaps in the other direction along a displacement vector B to the top of a flagpole where the displacement components are given by B, = -25.0 m and B By = 10.0 m. Find the magnitude X and direction of the displacement vector.
A snow-covered ski slope makes an angle of slope = 29.0° with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.20 m at 0 snow = 17.0° from the vertical in the uphill direction as shown in the figure below. 0₁ snow Oslope (a) Find the component of its maximum displacement parallel to the surface. 0.32 X Your response differs from the correct answer by more than 10%. Double check your calculations, m (b) Find the component of its maximum displacement perpendicular to the surface. 1.14 X Your response differs from the correct answer by more than 10%. Double check your calculations. m
Problem 1: Model Similitude You are designing a fountain on the moon, where gravity is one-sixth of that on Earth. You begin with a model fountain, on Earth, where the jet rises 65 feet above a lake surface. Both prototype and model fountains use water, and both have the same upward velocity where the water discharges from the jet nozzle. Neglect atmospheric resistance (from the atmosphere on Earth, and from the air inside the space station on the moon). Part A What dimensionless parameter will you match between the prototype and the model? Part B How high would the jet rise on the moon? [ft]