A 30N force with a fixed orientation does work on a particle as the particle moves through the three-dimensional displacement ∆r = 3i−2j+ 6k m. What is the angle between the force and the displacement if the change in the particle’s kinetic energy is 90 J?

Q: A particle of mass m moves in the horizontal xy plane in the right triangle OAB under the effect of…

A: Given that Force vector is F→ =( 4i^ - 2j^) N Displacement OA = 3 m OA→ = 3i^ m Displacement AB = 4…

Q: m, b = -1.0Nm. Determine the work done on the object by this for a straight line from the origin to…

A: Since force is variable...we have to integrate the elemental workdone

Q: A potential energy function for a two-dimensional force is of the form: U (x,y)= (3xy² – 4y) Joules.…

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Q: A constant force, F = 6 i N in the + x direction acts on a 2.0-kg object as it moves from the…

A: Given The constant force applied to an object is F=6 i^ N. The initial position of an object is…

Q: A coln slides over a frictionless plane and across an xy coordinate system from the origin to a…

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Q: The figure shows the top view of an object mass m moving on a uniformly fought horizontal surface.…

A: Given data: Mass of the object, m=7.15 kg Coefficient of friction, μ=0.644 Radius of the trajectory,…

Q: The system in the figure is released from rest. The coefficient of kinetic friction between block A…

A: Apply the equilibrium condition of the forces for block A along the vertical direction.

Q: cle moving in the xy plane undergoes a displacement given by Ax = 20i + 30 constant force F = 5.0 i…

A: given Δx̅ =20î+30ĵ F̅ = 5 î +2ĵ

Q: A dock worker pushes a m = 3.40 kg box a distanced = 3.00 m along the floor by a constant force of…

A: a) The work done by the applied force on the box is: W1 = →F.→d      = F×d×cosθ      = 16×3×cos27°…

Q: Chapter 07, Problem 047 Z Your answer is partially correct. Try again. A machine carries a 7.0 kg…

A: a) The total displacement of the package is given as, Substitute all the known values in the above…

Q: A constant force of magnitude 10 N makes an angle of 150 (measured counterclockwise) with the…

A: The expression of the force in x and y directions,

Q: (c) What is the speed of the projectile immediately before it hits the ground if air friction does…

A: C) As per the work-energy theorem, the friction’s work done can be represented as, Here, E, m, v,…

Q: A force →F=(1.50N)ˆi+(1.10N)ˆj+(8.00N)ˆk acts on a 3.40 kg mobile object that moves from an initial…

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Q: A hovercraft of mass 69.0 kg can move on a horizontal surface, the x-y plane. A single unbalanced…

A: Given:Mass of hovercraft = 69 kgInitial velocity = 4 m/s in +x directionFinal velocity = 3 m/s in +y…

Q: A particle is moving in the x-y plane, following the path y(x) = A[1 + sin(kx)]. It moves from x = 0…

A: Given data: Path yx=A1+sinkx Point x = 0 to x = c Force Fx=Bsinkx

Q: A force parallel to x-axis acts on a particle moving along the x-axis. The force produces potential…

A: Answer:- 7.45i N  Given  a = 1.4 J/m4  Distance (x) = - 1.10 m  Potential energy (U) = a x4  We know…

Q: A hovercraft of mass 77.0 kg can move on a horizontal surface, the x-y plane. A single unbalanced…

A: Given data- mass of hovercraft m=77.0 kg velocity in x-direction Vx=8.0 m/s velocity in y-direction…

Q: -F. 6 8 Position (m) 4 (8c7p34)A 5 kg block moves in a straight line on a horizontal frictionless…

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Q: The force F = (6.64 N)i + (6.93 N)j acts on a particle as it moves first along the x axis from x =…

A: Introduction: Energy is the is the conserved quantity. When body move from one place to another…

Q: A particle travels through a three-dimensional displacement given by d = (5.00î – 3.00j + 4.00k ) m.…

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Q: A 4 kg particle has an initial velocity of (4i–3j) m/s. Some time later, its velocity changes to…

A: Mass of particle = 4 kg Initial velocity = 4i^ - 3j^ meter per second Magnitude of initial velocity…

Q: I am riding an elevator that has a constant upward acceleration while the elevator travels upwards a…

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Q: A 12 N force with a fixed orientation does work on a particle as the particle moves through…

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Q: The force    F→=(2.0⁢  N)i^-(3.0 N)j^ acts on a particle as the particle moves from point 1 at…

A: Write the expression for work done by the force on the particle.

Q: a Parti cle moving in the XY Plane under goes a displacement =( 3,0 î – 2.o3)m as a vesult Of a…

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Q: A force F=-k(yî + xj ), where k is a positive constant, acts on a particle moving in the xy plane.…

A: The work done by a force to move a particle is given by the dot product of the force and the…

Q: A tennis ball (mass = 0.060 kg) is thrown horizontally from the top of a cliff, 10.0 m above the…

A: Given information: The mass of the ball (m) = 0.060 kg The height of the cliff (h) = 10.0 m initial…

Q: A constant force of 40N in the positive x direction acts on a 4.0-kg object as it moves from the…

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Q: A shopper pushes a grocery cart for a distance 21.5 m at constant speed on level ground, against a…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A ball tied to a light string is whirled in a perfect horizontal circle with a constant speed of…

A: Work done is force time displacement in the direction of the force. When the ball moves with a…

Q: The only force acting on a 2.0 kg canister that is moving in an xy plane has a magnitude of 5.0…

A: According to the work-energy theorem, the change in the kinetic energy of the canister equals to…

Q: A 9.00-kg particle moves from the origin to position O, having coordinates x = 4.50 m and y = 4.50 m…

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Q: MULTIPLE CHOICE Work done by force F on from x = 1.0 m t ox = 6.0 m? a. 26 J b. 29 J c. 35 J d.…

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Q: F, (N) F, (N) y; F; (N) 5.0 15 20 10 2.0아 y (m) 1.0 5.0- -10 x (m) 40 z (m) -20 20 10 20 30 10 15…

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Q: . A 25 N block is being pushed up on a plane inclined at an angle of 30° with the horizontal by a 46…

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Q: A constant force of 10N in the positive z direction acts on a particle as it moves from the origin…

A: Since Force F is in positive z direction so F= 10i^( as unit vector in positive direction is i^) .…

Q: A particle moving in the xy plane undergoes a displacement given by Af = (2.0î + 3.0j) F = (5.0i +…

A: ∆r→ = 2 i^ + 3 j^F→ = 5 i^ + 2 j^

Q: The only force acting on a 1.0 kg canister that is moving in an xy plane has a magnitude of 4.1 N.…

A: Given: m=1.0 kgFxy=4.1 Nvix=3.9 m/s ; viy=0 ; vfx=0;vfy=7.9 m/s;

Q: If the net work done by the force is 4 Joules, what is the value for z in the attached graph?

A: From the graph, the net work done by force, that will be area under the curve, can be calculated as,

Q: A 7.56 kg object is initially traveling in the positive x-direction at a speed of 1.7 m/s. 31.3…

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Q: A 12.0 N force with a fixed orientation does work on a particle as the particle moves through the…

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Q: у (m) 31. A 4.00-kg particle moves QIC from the origin to position T ©, having coordinates x = 5.00…

A: Part A:

Q: A 44.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of…

A: