Three forces acting on an object are given by  F1 = (−1.8î + 6.20ĵ) N,   F2 = (5.10î − 2.2ĵ) N,  and  F3 = (−43î) N.  The object experiences an acceleration of magnitude 3.65 m/s2. (a) What is the direction of the acceleration? ° (counterclockwise from the +x-axis)(b) What is the mass of the object? kg(c) If the object is initially at rest, what is its speed after 16.0 s? m/s(d) What are the velocity components of the object after 16.0 s? (Let the velocity be denoted by  v. ) v =      î +  ĵ    m/s

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Q: The total force on a 20-kg object is ( 15 ı ^ + 35 ȷ ^ + 45 k ^ ) Newtons.  Calculate the object's…

A: From Newton’s second law of motion, determine the acceleration of the object.

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A: Given data The magnitude of the horizontal force is given as FA = 85.2 N. The mass of the crate is…

Q: A horizontal force of 93.2N is applied to a 42.5 kg crate on a rough level surface. If the crate…

A: Given: Force = 93.2 N  mass = 42.5 kg acceleration = 1.08 m/s2  To Find : Magnitude of kinetic…

Q: Three forces acting on an object are given by  F1 = (−1.6î + 6.55ĵ) N, F2 = (4.75î − 1.2ĵ) N, and…

A: Given : F1 = (−1.6î + 6.55ĵ) N F2 = (4.75î − 1.2ĵ) N F3 = (−44.5î) N Acceleration (a) = 3.90 m/s2

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A: Given, The magnitude of forces F1=79kNF2=239kN

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Q: Three forces acting on an object are given by F₁ = (−2.15î + 7.45ĵ) N, F₂ = (5.15î – 1.9ĵ) N, and F3…

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Q: For V1=V1x^(unit vector) and  V2=V2x^, it is V1>0 and V2<0. Accelerations are a1=a1x^, a2=a2x^and…

A: The given three equations for the kinetic equilibrium are as follows. Since, m1 = m2, replace m2 by…

Q: An object of mass 5.10 kg has an acceleration a= (1.17 m/s² )x+(-0.681 m/s² )ŷ. Part A Three forces…

A: Write the given values with the suitable variables. m=5.10 kga→=1.17x^+-0.681y^ m/s2F→1=3.51x^…

Q: 145.0° 60.0 N -- +x 40.0 N

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Q: Three forces acting on an object are given by F, = (-1.9î + 5.80j) N, F, = (4.95î - 2.15j) N, and F,…

A: F1→ = (-1.9i^+5.8 j^) F2→ = (4.95i^ - 2.15 j^) F3→ = (-44i^) Acceleration , a = 3.6 m/s2 . To find =…

Q: In a performance test, each of two cars takes 8.4 s to accelerate from rest to 28 m/s. Car A has a…

A: Given Mass of car A is MA=1415 kg Mass if car B is MB=1856 kg Initial velocity of both car vi =0 m/s…

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A: The angle (θ) between the two vectors F1 and F2 is given by,

Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -8.9Ni +…

A: Given:  F1=-8.9i-4.1j-6.5kNF2=5.1i+0j+7.8kN The expression for angle (ϴ) between two vectors is:…

Q: Two   blocks  are  connected  via  a  pulley,  both  blocks  have  a  mass  of  10.kg.  One  block…

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Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = 0Ni + -5.3Nj…

A: Given, F1→ =0 i^-5.3 j^ + 4.3 k^F2→ = 4.6 i^-0.3 j^ -5.1 k^ The units of force is expressed in…

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A: Answer is given below :-Explanation:

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Q: A particle of mass 4.00 kg, moving on a horizontal table top, has an acceleration vector (in m/s2)…

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Q: Two blocks are connected by a string that goes over an ideal pulley as shown in the figure. The…

A: For Block A, Frictional force, Fk=μk.mA.g.sinθ, μk= Coefficient of kinetic friction Component of…

Q: A horizontal force of magnitude F = 57.5 N pushes on a block of mass m = 4.7 kg. The block is on a…

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Q: You place a crate of mass 38.8 kg on a frictionless 2.20-meter-long incline. You release the crate…

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Q: A powerful motorcycle can produce an acceleration of 3.50 m/s while traveling at 90.0 km/h. At that…

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Q: = 14.0N. Calculate the magnitude of A particle of mass 1.0 kg is subjected to a force Fi, = -3.0N…

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Q: 7. Review. Three forces acting on an object are given by F, V (-2.00î + 2.00ĵ) N, and F, =(5.00î –…

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Q: Three forces acting on an object are given by F, (-2.351 + 6.95j) N, F, (4.701 - 1.65j) N, and F,…

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Q: A block is placed on an inclined plane and released from rest.  The incline is  28∘ from horizontal.…

A: It is given that, θ=27oμs=0.60μk=0.53

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Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -6Ni +…

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Q: A constant horizontal force Fa pushes a 7.50 kg FedEx package across a frictionless floor on which…

A: The mass of the package is 7.50 kg.

Q: An antelope is being pulled by two forces whose vector-component expressions are: F1 = -3.5Ni +…

A: The forces are  F1 = -3.5Ni^ + 3.4Nj^ + 3.9Nk^ F2 = 3Ni^ + 2.6Nj^ + -1.5Nk^ The magnitude of the…

Q: Three forces acting on an object are given by F1 = (−2.45î + 5.95ĵ) N,   F2 = (5.25î − 1.3ĵ) N,…

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Q: A horizontal force is acting on a block moving on a rough horizontal surface. The force has the same…

A: Given: The coefficient of static friction μs = 0.75. The coefficient of kinetic friction μk = 0.5.

Q: Problem 2: A runaway train has a mass of 1.5 × 104 kg and a speed of 5 m/s. How much time does it…

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Q: On a particle of mass m = 20 g, act three forces F1, F2 and F3 on the paper plan. The forces F2 = 4…

A: According to Newton's Second law of motion The net force on an object is given by Where m = mass of…

Q: Three forces acting on an object are given by F, = (-1,75î + 5.50j) N, F, = (5.25î – 1.35j) N, and…

A: (a)  The direction of any vector in the x-y plane is calculated as; θ = tan-1 net y-compentnet…

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.