The force acting on a particle moving in the xy plane is given by the expression F= (2yi + x2J), where F is in Newton and x and y are in meters. The particle that moves from the origin to the final position has coordinates x = 4.6 m and y = 4.6 m as shown in Fig. 2. Calculate the work done by F on the particle when it moves along (a) the trajectory pink, (b) red trajectory and (c) colored trajectory blue. (d) Is the F force conservative or not conservative? (e) Explain response to the request (d)

Q: A particle is subject to a force F x that varies with position as shown in above figure. Find the…

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Q: A spring and block are in the arrangement of the figure. When the block is pulled out tox - +5.0 cm,…

A: We know that we have given a system with the spring..When the block is pulled out to x = +5.0 cm, we…

Q: The diagram shows a crate with mass m = 38.2 kg being pushed up an incline that makes an angle φ =…

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Q: In the figure, a frictionless roller coaster car of mass m = 632 kg tops the first hill with speed…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: Juan, Jose, and Jokoy are pushing a table with a constant 475 N force. Juan is pushing the table…

A: Given information: The force applied to the table by Juan is, FJn=475 N This force is acting…

Q: An object with a mass of 2.00 kg starts from rest at the origin and moves in the xy plane to the…

A: Force is an external agent that has the ability to change the state of rest or motion of a certain…

Q: The normal force from the pogo stick on your feet has magnitude Npy(y) = F1(1 −y/h) where F1 =…

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Q: A shopper in a supermarket pushes a cart with a force of 45 N directed at an angle of 25° below the…

A: Given values: Applied force, F=45 N Angle below the horizontal, θ=25° Length of the aisle, d=45.0 m

Q: 21. A 0.600-kg particle has a speed of 2.00 m/s at point A and V kinetic energy of 7.50 J at point .…

A: Solution:-(21) Part (a):- We know , kinetic energy k = (1/2)×m×v2 Then Ka= (1/2)×0.600×(2)2 […

Q: A force is given byF=⟨3x2,2y−1⟩. Find the work done by this force as a particle moves…

A: Given data: The force component, F=<3x2, 2y-1> Initial position of the particle, si=(0,0)…

Q: A force F(x) = N acts on a particle as it moves along the positive x-axis. (a) How much work (in J)…

A: Given Force F x = 3.2x N x1               = 2.8 m x2               = 5.8 m

Q: The graph shows the x component of a force that acts on an object that moves on the x axis. The…

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Q: The force on a particle is directed along an x axis and given by F = Fo(x/xo - 1) where x is in…

A: The given force acting on the particle is given by the equation, F=Foxxo-1Fo and xo are constants,…

Q: A block is acted on by a force that varies as (2.0×104N/m)x for 0≤x≤0.21m, and then remains constant…

A: Given data :- Force F = 2.0×104 N/m ; 0< x ≤ 0.21 m x = 0  to x = 0.30 m (for this range we wish…

Q: forces act, one of which is known to be constant in time:  F1 = (5 N)î + (7 N)ĵ.  As a result, the…

A: Work done by the force is given as  W = F.r r = displacement vector

Q: The crate has now reached a ramp, that is inclined at an angle 15° with the horizontal. You push a…

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Q: A 0.60 kgkg book slides on a horizontal table. The kinetic friction force on the book has magnitude…

A: Given, the mass of the book, m=0.60 Kg The magnitude of frictional force in the book will be, Ff=1.4…

Q: A 2.1 kg block is acted upon by a variable horizontal force F(x) = 29.0−5.0x, where the force is…

A: If the net combined work of external force and friction force is zero then we have:…

Q: A certain force has components F in Newtons and distance in meters. = 4x²+1, Fy = 2y, F₂ = 0, where…

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Q: The following information applies to the next two questions (questions 25 and 26). A particle of…

A: Force is a physical quantity that can cause an object with mass to change its state of motion or…

Q: A dock worker pushes a box with m = 3.80 kg a distance d = 6.60 m along the floor by a constant…

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Q: A force F(x)=(3x² – 2x)N acts on a particle as the particle moves in the x-axis from x = 1m to x =…

A: F(x)= 3x2-2xNx= 1m to 2m Since the force is varying on this interval of x , work is calculated by…

Q: A single force acts on a I kg panticle-like object in such a way that the position of the object as…

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Q: The graph shows the xx component of a force that acts on an object that moves on the xx axis. The…

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Q: Two different forces F1 and F2 acts on an object as shown in Fig. F1= 6i+7j+8k and F2 = 2i+3j+4k.The…

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Q: rope pulls a 200 kg sleigh (which you may know) up a slope at incline angle θ = 30◦, through…

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Q: A physicist has been studying the effects of an unknown force. The work required to move an object…

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Q: A single conservative force acts on a 5.30-kg particle within a system due to its interaction with…

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Q: A variable force F(x) = ax, in which a = 3.0 N/m, acts on an object. Calculate the work done by…

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Q: The force acting on a particle varies as in the figure below. (The x axis is marked in increments of…

A: (a) The work done by the force as the particles moves from x=0 to x=12.0 m, that equals the area…

Q: Find approximate values for the work by dividing the area under the force curve into rectangles of…

A: Given values:- Width of the rectangle,(∆x)=2 m -----(1) F=ax2 ------(2) [Here x is in meter] a=5…

Q: A shopper in a supermarket pushes a cart with a force of 41 N directed at an angle of 25° below the…

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Q: Work done by a varying force is shown on a graphy(gure 2). In calculating the work done,it is noted…

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Q: A shopper in a supermarket pushes a cart with a force of 33.0 N directed at an angle of 25.0° below…

A: The applied force on the cart, Fapp=33 N The direction of the angle of the force with the…

Q: A block of mass m is lowered down a surface inclined at θ degrees for a distance d between points A…

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Q: A force is given by the vector F = ( 2 i + 5 j) N and moves from the point (3i + 4j) m to the point…

A: force = (2i^ + 5j^) N initial position = (3i^ + 4j^) m final position = (2i^ + 3j^) m

Q: A force given by (6i – 3j) N acts on an object experiencing a displacement given by (3i – j) m.…

A: Given, Force,F=6i-3j Displacement, d=3i-j