30. In an assembly operation illustrated in Figure P3.30, a robot moves an object first straight upward and then also to the cast, around an arc forming one-quarter of a circle of radius 4.80 cm that lies in an east-west vertical plane. The robot then moves the object upward and to the north, through one-quarter of a circle of radius 3.70 cm that lies in a north-south North vertical plane. Find (a) the magnitude of the total dis- placement of the object and (b) the angle the total displacement makes with the vertical. East Figure P3.30
Q: Multiple Concept Example 9 deals with the concepts that are important in this problem. A grasshopper…
A:
Q: A novice golfer on the green takes three strokes to sink the ball. The successive dis- placements…
A:
Q: What is the y-component and magnitude of A?
A:
Q: A metro train starts from a terminal station. The train heads north for 475 m, then west for 165 m,…
A: Given:- A metro train starts from a terminal station. The train heads north for 475 m, then west…
Q: Vector F goes 10.0 meters in a direction of 150 from the x-axis. What are the x-component and…
A:
Q: A diver jumps off a cliff of height h at an angle θ = 260 (see figure). He reaches a maximum height…
A: Given Data : The range of the projectile is given as x =295m. The maximum height of the projectile…
Q: (a) What is the magnitude (in km) and direction (in degrees south of east) of her displacement…
A: The distance moved by the person towards the south, The distance moved by the person toward the…
Q: The figure shows the path taken by a drunk skunk over level ground, from initial point i to final…
A:
Q: A wildlife researcher is tracking a flock of geese. The geese fly 4.0 km due west, then turn toward…
A:
Q: A boy walks 4 m South and then walks 7 m at 35 degrees east of south. What is the boy's…
A: d1 →= -4j^ m d2 → = 7m (Sin(35o) i^ - Cos(35o)j^)d2 → = 4 i^ - 5.73j^ mBoy's displacement = d1 →…
Q: A roller-coaster car moves 172 ft horizontally and then rises 115 ft at an angle of 32.0° above the…
A:
Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…
A: The given distances travelled with respect to x-axis are,
Q: A runner first runs a displacement A of 3.30 km due south, and then a second displacement B that…
A:
Q: While vacationing in the prairie you go on a nature walk. First you walk 260 m south, then a coyote…
A: d1→ = 260 m due south d2→ = 180 m due south west d3→ = 140 m @30o east of north
Q: You are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north…
A:
Q: A spelunker is surveying a cave. She follows a passage that takes her a distance 190 m straight…
A:
Q: I have no idea to how to start to this question: Wags (a dog) decides to go on a journey. He begins…
A:
Q: A ball swings counterclockwise in a vertical circle at the end of a rope 1.23 m long. When the ball…
A:
Q: Instructions for finding a buried treasure include the following: Go 73.0 paces at 235°, turn to…
A:
Q: A student drives his car 6.0 km, North before making a right hand turn and driving 6.0 km to the…
A: Car moves from O to C (6km) Car moves C to D (6 km) Finally car moves from D to A (2 km) The pat of…
Q: Arvin the Ant is on a picnic table. He travels 30 cm northeast, then 25 cm due north, and finally 15…
A: Given data: Ant travels 30 cm northeast, then 25 cm due north, and finally 15 cm west Need to…
Q: You walk 60 meters to the North and 60 meters to the West. Find the magnitude, direction, and sense…
A: d1 = 60 m (north)d2 = 60 m west magnitude of displacement = 602 + 602 = 602 m = 84.85 m DIrection =…
Q: Instructions for finding a buried treasure include the following: Go 73.0 paces at 245deg, turn to…
A: Given: Step 1: 73 paces at 245 degrees Step 2: 127 paces at 121 degrees Step 3: 112 paces at 163…
Q: In the figure, a radar station detects an airplane approaching directly from the east. At first…
A: Given: At first, the distance between the station and the airplane is, d1=390 m. At first, the angle…
Q: A person walks 2.05 km south and then 2.75 km east, all in 3.00 hours. (a) What is the magnitude (in…
A:
Q: Instructions for finding buried treasure include the following: Go 71.0 paces at 256 degrees, turn…
A:
Q: A man jogs due east for a distance of 1.42 miles, turns around and goes due west for 3.06 miles, and…
A:
Q: At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis,…
A: Solution:-
Q: so that a car travels horizontally for 172 ft, then climbs 117 ft at an angle of 32.0° above the…
A:
Q: A dog walks due East for 10.5 meters, then turns around and walks due West for 6.0 meters. What is…
A:
Q: While vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote…
A: Given Data: First leg of displacement (A→) = 160 m, south.Second leg of displacement (B→) = 260 m,…
Q: A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal. What is the…
A: Given, A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal .
Q: Suppose you first walk 12.5 m in a direction 20° west of north and then 25.5 m in a direction 40°…
A: d1 = 12.5 m @20o west of north d2 = 2.5 m @40o south of west
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
- A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its resultant acceleration is a = (-22.5i + 20.2j) m/s2 , where i is the unit vector along the horizontal direction (you can treat it as pointing to the right), and j is the unit vector along the vertical direction (you can treat it as pointing upward). For that instant, (i) determine the magnitude of its centripetal acceleration in m/s2 (ii) determine the speed of the ball in in m/s (iii) determine the velocity of the ball in m/s, i and j.An engineer designs a roller coaster so that a car travels horizontally for 182 ft, then climbs 117 ft at an angle of 33.0° above the horizontal. It then moves 117 ft at an angle of 44.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude ft direction ° counterclockwise from the +x-axis Need Help? Read ItA golfer takes three strokes to putt a golf ball into a hole. On the first stroke, the ball moves 5.9 m due east. On the second, it moves 1.8 m at an angle 20° north of east. On the third, it moves 0.50 m due north. If the golfer had instead hit the ball directly into the hole on the first stroke, what would have been the magnitude and direction of the ball's displacement? Give the direction as a positive angle measured counterclockwise from due east. magnitude m direction °
- In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0° north of west, then 4.70 km and 60.0° south of east, then 1.30 km and 25.0° south of west, then 5.10 km due east, then 1.70 km and 5.00° east of north, then 7.20 km and 55.0° south of west, and finally 2.80 km and 10.0° north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?You drive a car 1200 m due south, then 1500 m at 300 west of south, and finally 1050 m at 500 north of west. Using the component method calculate the magnitude and direction of the resultant displacement vectorMorty is supposed to meet up with Rick, who is 50 mi north and 100 mi east of Morty,after exploring a new planet. Morty starts by driving east, but after 30 mi he comes to a detour that takes him 15 mi south before going east again. He then drives 8 mi east before his motorcycle runs out of gas. Rick flies over in his spaceship to pick him up. What is Rick’s displacement vector? Give your answer (a) in component form, using a coordinate system in which the y-axis points north, and (b) as a magnitude and direction.
- What is the y-component and magnitude of vector A?A diver explores a shallow reef off the coast of Belize. She initially swims d1 = 74.3 m north, makes a turn to the east and continues for d2 = 183.7 m, then follows a big grouper (a kind of fish) for d3 = 73.3 m in the direction θ = 43.9° north of east. Finally, she swims d4 = 193.4 m south.What is the straight-line distance between her initial and final positions in m?A ball swings counterclockwise in a vertical circle at the end of a rope 1.56 m long. When the ball is 37.1° past the lowest point on its way up, its total acceleration is (-17.9î + 23.7j) m/s2. For that instant, do the following. (a) Sketch a vector diagram showing the components of its acceleration (b) Determine the magnitude of its radial acceleration. m/s? (c) Determine the velocity of the ball. magnitude m/s direction ° counterclockwise from the +î direction
- At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 9.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 60.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball? What if? The receiver that catches the football travels 60.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. It then moves 127 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude direction 167.6 The magnitude of the displacement is the length of the vector which goes from the starting point to the ending point. You will need to measure this distance, and multiply by your scale factor. ft 367 Measure the angle from the +x-axis to the resultant vector (drawn from the starting point to the ending point). Remember that angles measured counterclockwise from the +x-axis are negative. counterclockwise from the +x- axis Need Help? Read ItIn the figure, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d₁ = 330 m from the station and at angle 0₁ = 41° above the horizon. The airplane is tracked through an angular change A0 = 118° in the vertical east-west plane; its distance is then d₂ = 850 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. Give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon. de 731 W Airplane d₁ Radar dish