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- A 3.5 kg particle moves along an x axis according to x(t) = −12 + 5t2 − 4t3, with xin meters and t in seconds. In unit-vector notation, what is the net force acting on theparticle at t = 6 s?arrow_forwardConsider 2 forces acting on a mass of 2.91 kg. F1 = 9.3 N @ 22 degrees and F2 = 6.28 N @ 83.7 degrees where the angles are measured relative to the +x direction. What is the magnitude of the acceleration produced considering only these 2 forces acting? everything in 3 sig figsarrow_forwardA freight train consists of two 8.00x104 kg engines and 45 cars with average masses of 5.50x104 kg. What force must each engine exert backward on the track to accelerate the train at a rate of 5.00x10-2 m/s2 if the force of friction is 7.50x105 N, assuming the engines exert identical forces? Group of answer choices 882 kN 441 kN 221 kN 110 kNarrow_forward
- A bullet with a mass of 20.0 grams is fired from a gun with a 10.0 cm barrel at a velocity of 300.0 m/s. Assuming it starts from rest and accelerates uniformly, what is the magnitude of the force exerted on the bullet?arrow_forwardA barefoot field-goal kicker imparts a speedof 27 m/s to a football initially at rest.If the football has a mass of 0.59 kg and thetime of contact with the ball is 0.034 s, whatis the magnitude of the force exerted by theball on the kicker’s foot?Answer in units of N.arrow_forwarda person in kayak atarts padding, and it accelarates from 0 to 0.474 m/s in a distance of 0.584 m. if the combined mass of the person and the kayak is 69.9kg, what is the magnitude of the net force acting on the kayak?arrow_forward
- A particle of mass 1.05 kg is subject to a force that is always pointed towards the East but whose magnitude changes linearly with time t. The magnitude of the force is given as F = 4t, and has units of newtons. Let the x-axis point towards the East. Determine the change in x-coordinate in meters of the particle Δx between t = 0 and t = 2.4 if the initial velocity is 17.5 m/s, and pointed in the same direction as the force.arrow_forwardA particle of mass 0.75 kg is subject to a force that is always pointed towards the East but whose magnitude changes linearly with time t. The magnitude of the force is given as F = 5t, and has units of newtons. Let the x-axis point towards the East. Determine the change in the velocity Δv, in meters per second, of the particle between t = 0 and t = 1.2 sec. Determine the change in x-coordinate in meters of the particle Δx between t = 0 and t = 1.2 if the initial velocity is 13.4 m/s, and pointed in the same direction as the force.arrow_forwardIn the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal. At the very top of his arc, a 55 kg vaulter is moving at 2.5 m/s and is 5.1 m from the bottom end of the pole. What vertical force does the pole exert on the vaulter?arrow_forward
- The horizontal surface on which the objects slide is frictionless. If F = 6.0 N and M = 1.0 kg, what is the magnitude of the force exerted on the large block by the small block?arrow_forwardIn Fig, a slab of mass m1 =40 kg rests on a frictionless floor, and a block of mass m2 =10kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?arrow_forwardthe law of rectilinear motion of a body of mass m=1009 is x(t) = 10 +1t+5t^2.All quantities in the law of motion are in SI units.Find the magnitude of the force acting on the body.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning