- An athlete stretches his Achilles tendon by extending one leg behind him with his heel on the floor and pushing against a wall with his hands. If he pushes against the wall with a force of 120 N at an angle of 20° from the horizontal as shown, write the force vector F in terms of i and j. Round the components to the nearest tenth of a Newton.

Q: Find the force on one face of a right triangle of side AB = 4 ft. and AC = 3 ft. submerged with AC…

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Q: W 34° T2°

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Q: Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in…

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Q: What is the magnitude of a vector = (-181- 12j)m/s?

A: Given,            v = (-18i + 12j) m/s

Q: Given the following vectors acting on an object at what angle and magnitude must a force be applied…

A: We have given,Two forces acting on an object, say F1 = 150 lb  and  F2 = 300 lbWe can resolve both…

Q: Find the force required to keep a 3,000 pound car parked on a hill that makes an angle of 15 degrees…

A: Consider the figure below

Q: Suppose that a box is being towed up an inclined plane as shown in the figure. Find the force w…

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Q: As a result of losing a tug-of-war match, Mr. T is in the middle of a ditch. A group of people…

A: This question can be solved using the concept of vectors.

Q: Paul pulls on a rope attached to his sleigh with a force of 60 N. If the rope makes an angle of 15°…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: For the figure shown: 30° 75° F = 4 kN 30 F = 6 kN a. Resolve the force F, into components acting…

A: We have to apply sine rule and cosine rule for the solution of this question.

Q: F2 = 400N F, = 600N 45° X 30°

A: You must have idea how to find the x and y components of the forces. Then find the resultant and…

Q: Calculate the force (in Newtons) required to push a 50kg wagon up a 0.2 radian inclined plane. One…

A: Solution:

Q: A 50-lb weight is hung by a cable so that the two portions of the cable make angles of 40°40° and…

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Q: 5. Determine the vertical and horizontal components of each force. a. 810 N at an inclination of 75°…

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Q: Find the unit vector in the same direction as v. v = 5i

A: Given, v=5i   The objective is to find the unit vector in the same direction as v.   The formula for…

Q: If a child pulls a sled through the snow on a level path with a force of 30 N exerted at an angle of…

A: In the question it is asked to calculate the horizontal and vertical component of force.

Q: A child pulls a wagon with a force of 40 pounds. The handle of the wagon makes an angle of 30o .…

A: A child pulls a wagon with a force of 40 pounds. The handle of the wagon makes an angle of 30°

Q: A man pushes a wheelbarrow up an incline of 20o with a force of 100 pounds.Express the force vector…

A: Given: A man pushes a wheelbarrow up an incline of 20o with a force of 100 pounds.   Component of…

Q: Using the image shown below, find the X-portion of the force vector "N". N F 100 lbs 20°

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Q: Find a unit vector in the same direction as a= i + j.

A: Unit Vector is represented by the symbol ‘^’, which is called a cap or hat, such as: a^. It is given…

Q: A dog is pulling on his lead at an angle of 49 degrees with a force of 70 Newtons. What is the force…

A: Given data is : Force F=49 NewtonsAngle θ=49∘

Q: If the equal tensions T in the pulley cable are 520 N, express in vector notation the force R…

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Q: Using the coordinate system shown at right, (a) calculate the resultant force on the tractor, (b)…

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Q: Calculate the resultant of the two forces shown using the following given values. A = 6.7 kN at 41°…

A: Given - A = 6.7 kN at 41° and B = 10.9 kN at 122° To find - Calculate the resultant of the two…

Q: A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis).…

A: We have given The initial velocity v0 = 50i+ 80k and the acceleration vector a = −4j − 32k.

Q: 1. A force of 1000 pounds is acting on an object at an ang of 500 pounds is acting at an angle of…

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Q: Find the work done by a force of 200 pounds acting in the direction -1+2j in moving an object 75…

A: find the work done

Q: Find the work performed when the given force F is applied to an object, whose resulting motion is…

A: Given, F = 65i, d = 4i

Q: Find the work performed when the given force F is applied to an object, whose resulting motion is…

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Q: Approximate the magnitude of the vector and the angle 0, 0° s 0 < 360°, that the vector makes with…

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Q: find the magnitude and angle in which the vector points (measured ive x-axis, 0 < 0 < 2n)

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Q: 1. Determine the magnitude of the resultant force and its direction measured counterclockwise from…

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Q: Find the work W done by a force of 7 pounds acting in the direction 60° to the horizontal in moving…

A: This is the problem related to vector. Here we will use the general formula of force vector for…

Q: Two construction workers are lifting a beam using ropes. Worker A pulls with a force of 500 newtons…

A: Given that F1=500 N; θ1=40°F2=380 N; θ2=115° To find:  The magnitude and direction of the resultant…

Q: Find the unit vector in the same direction as v. v= 4i -j

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Q: Q2/ what the sine of the angle between the vector d= 3î + ĵ + 2k , b= 2î – 2j + 4k -

A: Here given vector as a=3i+j+2k, b=2i-2j+4k Thus a=32+1+22=9+1+4=14 a=22+-22+42=4+4+16=24=26

Q: - A woman pushes a shopping cart with a force of 18 lbs. exerted at an angle of 45° to the floor.…

A: Given that, a shopping cart is pushed with a force of 18 lbs. exerted at an angle of 45° to the…

Q: Find the magnitude of the torque about P if a 50-N force is applied as shown.

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Q: Find the work performed when the given force F is applied to an object, whose resulting motion is…

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Q: At a county fair truck​ pull, two pickup trucks are attached to the back end of a monster truck as…

A: Solution :-

Q: The distance (d) that a spring will stretch varies directly as the force (f) applied to the spring.…

A: Answer is mentioned below

Q: Find the work done by a force of 50 lb acting 60° off the ground, moving an object 40 ft due west.…

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Q: Suppose that a box is being towed up an inclined plane as shown in the figure. Find the force w…

A: NOTE: Refresh your page if you can't see any equations. . here weight of the block is W=2.4 lb and…

Q: Use the parallelogram rule to find the magnitud of the resultant force for the two forces shown in…

A: To determine the resultant of the two forces.

Q: The magnitude and direction of two forces acting on an object are 70 pounds, S56°E, and 50 pounds,…

A: The magnitude and direction of force F1 is 70 pounds, S56°E and magnitude and direction of force F2…

Q: Which is traveling faster, a car whose velocity vector is 27i⃗ +32j⃗ , or a car whose velocity…

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Q: A kick boxer kicks a bag at an angle of 30° from the horizontal with a force of 190N (Newtons).…

A: The force vector F which is being applied by the kick boxer while kicking bag at angle of 30° in…

Q: 17. Determine the horizontal and vertical components of a force that has magnitude 24 N and makes an…

A: Draw a schematic diagram of given question.