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- A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.arrow_forwardA freight train consists of two 8.00×104 kg engines and 45 cars with average masses of 5.60×104 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 6.20×105 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. answer= N (b) What is 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? answer = Narrow_forwardIf the only forces acting on a 2.0kg mass are F1=(3i-8j)N and F2=(5i+3j)N, what is the magnitude of the acceleration of the particle?arrow_forward
- If the only forces acting on a 5-kg mass are F1 = (2i- 3j) N and F2 = (6i + 8j) N, what is the magnitude of the acceleration of the particle?arrow_forwardA 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_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_forward
- An 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_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_forwardA car traveling at 27.2 m/s hits a bridge abutment. A passenger in the car, who has a mass of 65.0 kg, moves forward a distance of 57.0 cm while being brought to rest by an inflated air bag. Assuming that the force that stops the passenger is constant, what is the magnitude F of this force?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_forwardThe figure shows a 6 kg block being pulled along a frictionless floor by a cord that applies a force of constant magnitude 15 N but with an angle 0(t) that varies with time. When angle 0 = 23°, at %3D what rate is the block's acceleration changing if (a)e(t) = (4 x 10-2 deg/s)t and (b)8(t) = (-3 x 102 deg/s)t ? (Hint: Switch to radians.) (a) Number Units (b) Number Unitsarrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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