A freight train consists of two 9.00 ✕ 105 kg engines and 50 cars with average masses of 3.50 ✕ 105 kg.   (a) What force (in N) must each engine exert backward on the track to accelerate the train at a rate of 4.00 ✕ 10−2 m/s2 if the force of friction is 7.50 ✕ 105 N, assuming the engines exert identical forces? This is not a large frictional force for such a massive system. Rolling friction for trains is small, and consequently, trains are very energy-efficient transportation systems. (Enter the magnitude.)   b) What is the magnitude of the force (in N) in the coupling between the 37th and 38th cars (this is the force each exerts on the other), assuming all cars have the same mass and that friction is evenly distributed among all of the cars and engines? (Assume both engines are at the front of the train.)

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Q: A freight train has a mass of 1.2 ✕ 107 kg. If the locomotive can exert a constant pull of 6.9 ✕ 105…

A: freight train has a mass = 1.2 ✕ 107 kg vi = 0 m/s vf = 70 km/h = 19.44 m/s F(locomotive) = F(pull)…

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: A body of mass 1 kg is moving along a straight line with a velocity of 1 ms'. The external force…

A: Newton's second law for constant mass is  F=ma Where F is the force m is the mass of the object a is…

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Q: The nucleus of 8Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously…

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Q: WR = 30 m/s mHA = 5000 kg m, = 150 kg ►VHA = 200 m/s h=10000

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Q: A 3.40-kg object is moving in a plane, with its x and y coordinates given by x = 3t2 − 2 and y = 2t3…

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Q: Two forces F, = (81.24î – 26.83ĵ) N and F, = (27.41i - 80.52ĵ) N are exerted on a particle. The…

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Q: a) A 2 kg object is subjected to three forces that give it an acceleration 7…

A: Given: The mass of object is m=2 kg. The acceleration of the object is a→=-8.00 m/s2i^+6.00 m/s2j^.…

Q: The velocity of a 3.00 kg particle is given by i = (8.00ti + 3.00ť² j)m/s,with timet in seconds. At…

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Q: Two teams of nine members each engage in tug-of war. Each of the first team's members has an average…

A: Given The average force on the right is F1=1450 N. The average force on the left is F2=1635 N. The…

Q: Two forces F, = (68.50î – 12.93ĵ)N and F, = (19.73î - 72.94ĵ) N are exerted on a particle. The…

A: Given: Forces F1→=68.50i^-12.93j^N, F2→=19.73i^-72.94j^N, Mass of the particle m=19.57 kg. Required:…

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Q: A 3 kg object has a velocity of 3i m/sat one instant. 8 seconds later, its velocity is (5i + 7j)…

A: mass = 3 kg initial velocity = 3 i^ msfinal velocity = 5i^ + 7j^ mstime = 8 seconds

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Q: Two forces F, = (62.13î - 26.83ĵ) N and F, = (19.73î - 69.15ĵ) N are exerted on a particle. The…

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Q: Two horizontal forces act on a 2.7 kg chopping block that can slide over a frictionless kitchen…

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Q: A train locomotive pulls a train with a mass of 1.40 ✕ 107 kg on level rails. The locomotive exerts…

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Q: Two forces FA and FB are applied to an object whose mass is 6.11 kg. The larger force is FA. When…

A: Given that, mass of object (m) =6.11 kg

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Q: A bicyclist of mass 65.0 kg (including the bicycle) can coast down a 6.0 degree hill at a steady…

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Q: A box of mass 30.0 kg is acted on by a constant horizontal force, which moves the box from rest 15.0…

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Q: An antique mahogany Igorot bust, that weighs 40.6 kilograms, on a frictionless ramp is attached to a…

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Q: The mass of an object is 25 kg.  Its acceleration is ( 3 ı ^ + 5 ȷ ^ + 7 k ^ ) m/s2.  Calculate the…

A: The equation for the force is given as The vector form of force can be obtained as

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Q: and (b) the magnitude of FB. i Units 11

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Q: A 3.45-kg object is moving in a plane, with its x and y coordinates given by x = 6t2 − 4 and y = 4t3…

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Q: Three forces acting on an object are given by - (2.15i + 6.95j) N, - (5.30 - 1.2) N, and F- ( 49) N.…

A: Ans:- Image-1

Q: A boat with mass of 5.8 * 10° kg is traveling at 9.1 * 10' m/s. What is the magnitude of the force…

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Q: object is acted on by two forces, 10i + 3j and  (with magnitudes in newtons). The object has an…

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Q: If the only forces acting on a 5-kg mass are F1 = (2i- 3j) N and F2 = (6i + 8j) N, what is the…

A: Given: Mass of the particle, m=5 kg Forces acts on the particle, F1=2i-3j N and F2=6i+8j N

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Q: A small locomotive of mass 500 kg pulls 2 coaches of mass A 120 kg each and mass B 180 kg. If trains…

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Q: Two forces FA and FB are applied to an object whose mass is 12.1 kg. The larger force is FA. When…

A: Given Mass of the object is m=12.1 kg Acceleration in the first case is a=0.592 m/s2 Acceleration in…

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.