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A freight train consists of two
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- 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.)arrow_forwardAlex is asked to move two boxes of books in contact with each other and resting on a rough floor. He decides to move them at the same time by pushing on box A with a horizontal pushing force F, = 9.1 N. Here A has a mass m, = 10.6 kg and B has a mass m, = 7.0 kg. The contact force between the two boxes is F.. The coefficient kinetic friction between the boxes and the floor is C* 0.04. (Assume F, acts in the +x direction.) mA (a) What is the magnitude (in m/s2) of the acceleration of the two boxes? m/s2 (b) What is the force exerted on ma by m,? In other words what is the magnitude (in N) of the contact force F.? (c) If Alex were to push from the other side on the 7.0-kg box, what would the new magnitude (in N) of F, be?arrow_forwardIf the only forces acting on a 2.0 kg mass are F1=(3i-8j) N and F2=(5i+3j) N, what is the magnitude of the acceleration of the particle?arrow_forward
- A 1.5-kg mass has an acceleration of (4.0i ^ − 3.0j ^ ) m/s2. Only two forces act on the mass. If one of the forces is (2.0i ^ − 1.4j ^ ) N, what is the magnitude of the other force?arrow_forwardAn SUV drives on a straight-line track. Starting with a speed v0 = 14.4m/s, it comes to rest over a distance d = 28.8m Part (a) Write an expression for the magnitude of the net force on a passenger with mass m . If m = 61.3kg, then what is the numeric value, in newtons, for the net force in Part (a)? .arrow_forwardThree forces acting on an object are given by F1 = (−1.5î + 7.45ĵ) N, F2 = (5.25î − 1.1ĵ) N, and F3 = (−42î) N. The object experiences an acceleration of magnitude 3.70 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 18.0 s? m/s. (d) What are the velocity components of the object after 18.0 s?arrow_forward
- Two forces É, = (81.24i – 26.83j) N and É, = (27.41i - 80.52j) N are exerted on a particle. The particle's mass is 23.21 kg. (a) Find the particle's acceleration in component form. (Express your answer in vector form.) a = m/s? (b) What are the magnitude and direction of the acceleration? magnitude |m/s2 direction counterclockwise from the +x axisarrow_forwardA certain cable of an elevator is designed to exert a force of 4.5 × 10^4 N. If the maximum acceleration that a loaded car can withstand is 3.5 m/s2, what is the combined mass of the car and its contents?arrow_forwardAs a fish jumps vertically out of the water, assume that only two significant forces act on it: an upward force F exerted by a tail fin and the downward force due to gravity. A record Chinook salmon has a length of 1.50 m and a mass of 48.5 kg. if this fish is moving upward at 3.00 m/s as its head first breaks the surface and has an upward speed of 5.80 m/s after two-thirds of its length has left the surface. what is the magnitude of the force F during the intervalarrow_forward
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