4. Three astronauts, propelled by jet backpacks, push and guide an asteroid toward a processing dock. The forces they exert on the asteroid are shown in the figure. Their forces have magnitudes: F₁ = 32 N, F₂| 55 N, |F3| 41 N, and the angles are 0₁ 30° and 03 = 60°. = = (a) Find the net force on the asteroid written in vector form in terms of its x- and y-components. (b) Find the magnitude of the net force on the asteroid and the angle it makes with respect to the positive x-axis. (c) Suppose the asteroid has a mass of 250 kg and is initially at rest. What is the asteroid's displacement 0.1 s after the astronauts start pushing?

4. Three astronauts, propelled by jet backpacks, push and guide an asteroid toward a processing dock. The forces they exert on the asteroid are shown in the figure. Their forces have magnitudes: F₁ = 32 N, F₂| 55 N, |F3| 41 N, and the angles are 0₁ 30° and 03 = 60°. = = (a) Find the net force on the asteroid written in vector form in terms of its x- and y-components. (b) Find the magnitude of the net force on the asteroid and the angle it makes with respect to the positive x-axis. (c) Suppose the asteroid has a mass of 250 kg and is initially at rest. What is the asteroid's displacement 0.1 s after the astronauts start pushing?

Name: Please provide explanations and work 4. Three astronauts, propelled by
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: Please provide explanations and work 4. Three astronauts, propelled by jet backpacks, push and guide an asteroid toward aprocessing dock. The forces they exert on the asteroid are shown in the figure. Theirforces have magnitudes: |F₁| = 32 N, |F₂| 55

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 7P: A force F1 of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the...

See similar textbooks

Similar questions

The magnitude of vector A is 8 km, and the magnitude of B is 6 km. Which of the following are possible values for the magnitude of A + B? Choose all possible answers. (a) 10 km (b) 8 km (c) 2 km (d) 0 (e) 2 km
As shown in the attached figure below, three force vectors act on an object. The magnitudes of the forces are F1= 80.0 N, F2 = 60.0 N, and F3 = 40.0 N, where N is the standard SI unit of force. The resultant force acting on the object is given by A. 40.0 N at an angle 60.0° below +x-axis B. 60.0 N at an angle 90.0° above +x-axis C. 20.0 N at an angle 34.3° below +x-axis D. 180 N at an angle 60.0° below +x-axis E. 35.5 N at an angle 34.3° above +x-axis
An antelope is being pulled by two forces whose vector-component expressions are: F1 = 0.7Ni + 0.5Nj + 7.2Nk F2 = 9.9Ni + -9.2Nj + -8.1Nk What is the angle between these two vectors?
A student's car stalls right in front of a speed bump while she is on her way to physics class. To pull it over the bump, she ties a cable to her bumper and to a nearby tree, and pulls with a force, F, of 81.0 lbs (360 N) at the midpoint in a perpendicular direction.If θ is 11.0°, what is the size of the force pulling the car in lbs
An antelope is being pulled by two forces whose vector components are : f1 =-2.6Ni+5Nj +-6.1Nk f2 =-2.8Ni+9.6Nj+-3.8Nk What is the angle in degrees between these 2 vectors?
P. B. 2. Given: P = 334 N and Q = 405 N Angle A = 30 degrees Angle B = 18 degrees Angle C= 51 degrees Angle D = 20 degrees Solve for the magnitude of the resultant of the two forces.
1. Five forces act at point A as shown. Draw the coordinate axes, determine the resultant force (i.e., sum of the forces), and write it as a vector using unit vectors. 90 N 75 N 60 N 30° 30° 30 45 N 30 30 N 2. Two boxes are stacked on the floor, one on top of the other. The top box has a mass of 10kg and the bottom one has a mass of 25kg. Draw free body diagrams for both boxes and label all forces. Remember that the floor must push upwards on the bottom box for there to be equilibrium. b. Calculate the forces acting on each box. g = 9.8m/s? а.
A leashed chihuahua is held by its owner in a park. The dog is walking and undergoes a displacementi = (0. 5 m)î + (1.8 m)j. If the tension in the leash is T = (-10.0î + 7.8ĵ)N. What is the angle between the two vectors?
P₁ A 30° 5 ft 300 lb Fig. P3.29 X 50 lb B P₂ *3.29 The bar AB, which is inclined at the angle to the horizontal, is subjected to the four forces shown. Knowing that these forces have no resultant (neither a force nor a couple), determine P₁, P2, and 0.
The helicopter view in the figure below shows two people pulling on a stubborn mule. (Take F₁ = 137 N and F₂ = 74.0 N.) 75.0° direction 60.0⁰ x (a) Find the single force that is equivalent to the two forces shown. 149.56 magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. N 23.65 X Your response differs from the correct answer by more than 10%. Double check your calculations. counterclockwise from the +x-axis (b) Find the force a third person would have to exert on the mule to make the net force equal to zero. magnitude N direction counterclockwise from the +x-axis
Determine the magnitude of the x- component of force Q (in N) if P=96.4 N, Q = 55.2 N , 0= 55.53° and a = 49.46°.Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of the x-component. Use R if to the right, L if to the left, U if upward or D if downward. y P
Vector F1 = 625 N makes an angle of 270 degrees when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 120 degree angle from Vector F1 when rotated counterclockwise. What is the direction of the vector needed to balance the two forces?