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Three forces
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Physics for Scientists and Engineers: Foundations and Connections
- Two forces act on a 3.20 kg object, the gravitational force and a second, constant force. The object starts from rest and in 1.20 s is displaced (4.35î − 3.30ĵ) m. Write the second force in unit vector notation. (Enter your answer in kg · m/s2. Assume the gravitational force acts in the −ĵ direction.) F =arrow_forwardBesides the gravitational force, a 2.90-kg object is subjected to one other constant force. The object starts from rest and in 1.20 s experiences a displacement of (4.30î − 3.30ĵ) m, where the direction of ĵ is the upward vertical direction. Determine the other force. (Express your answer in vector form.)arrow_forwardAn object with mass m = 34 kg is pushed with 452 N of force to be moved across a distance of 4.6 m on a surface with friction. Initially the object is moving at vi = 0.82 m/s and after being moved across 4.6 m, the final speed is 2.5 m/s. What is the magnitude of the frictional force acting on the object in the unit of N?arrow_forward
- A cart of mass 8.00 kg was moved by applying two constant forces. Force 1 is 28.0 N at 42.0°, and Force 2 is 13.0 N at 110°. Initially, the cart has a velocity of (3.50 i +2.20 j) m/s. a. Express the two forces in in unit-vector notation. Ans. F = (20.81 i + 18.74 j)N, F, = (-4.45 i + 12.22 j)N b. Find the total force exerted on the cart. Ans. EF = (16.36 i + 30.96 j)N or 35.02 N Find the angle at which the total force is applied. Ans. 62.15° NEERINarrow_forwardA cart of mass 8.00 kg was moved by applying two constant forces. Force 1 is 28.0 N at 42.0°, and Force 2 is 13.0 N at 110°. Initially, the cart has a velocity of (3.50 i +2.20 j) m/s. a. Express the two forces in in unit-vector notation. Ans. F = (20.81 i+ 18.74 j)N, F, =(-4.45 i+ 12.22 j)N b. Find the total force exerted on the cart. Ans. EF = (16.36 i + 30.96 j)N or 35.02 N c. Find the angle at which the total force is applied. Ans. 62.15º d. What is the acceleration of the cart? Ans. å = (2.05 i + 3.87 j)" or 4.38 EERINarrow_forwardA cart of mass 8.00 kg was moved by applying two constant forces. Force 1 is 28.0 N at 42.0°, and Force 2 is 13.0 N at 110°. Initially, the cart has a velocity of (3.50 i +2.20 j) m/s. a. Express the two forces in in unit-vector notation. Ans. F = (20.81 i + 18.74 j)N, F, = (-4.45 i + 12.22 j)N b. Find the total force exerted on the cart. Ans. EF = (16.36 i+ 30.96 j)N or 35.02 N c. Find the angle at which the total force is applied. Ans. 62.15°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_forwardA particle of mass 5.70 kg moves in the horizontal xy plane. The only force acting on the particle with component in the xy plane has expression (in newtons) F =4.70x2ı^, where x is in meters. Assume that the particle's trajectory is a straight line from the position (in meters) r0=2.10ı^ +2.10ȷ^ to the position (in meters) rf=6.50ı^ +2.10ȷ^. Also consider that its speed at position r0 has a magnitude of 3.80 m/s. Calculate the magnitude (in m/s) of the particle's velocity at position rf. Give your answer to three significant figures. (only numbers)arrow_forwardA runner of mass 62.0 kg initially moves at a speed of 8.05 m/s.How long must an average external force of 1.60* 10^2 N act to bring the runner to rest?arrow_forward
- A drone is being directed across a frictionless ice covered lake. The mass of the drone is 1.50 kg, and its velocity is 3.00i ^ m/s . After 10.0 s, the velocity is 9.00i ^ + 4.00j ^ m/s . If a constant force in the horizontal direction is causing this change in motion, find (a) the components of the force and (b) the magnitude of the force.arrow_forwardA 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_forwardChapter 05, Problem 010 GO A 0.180 kg particle moves along an x axis according to x(t) = - 14.0 + 2.00 t + 4.00 2- 5.00 t, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t = 3.30 s ? Give an expression for the (a) x, (b) y and (c) z components. (a) Number Units (b) Number Units (c) Number Units Click if you would like to Show Work for this question: Open Show Work Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER powered by MapleNet ere to search 1:51 PM ENG 4/4/2021 ASUS 19home prt sc pause break delete f10 end f1Pgup f12Pgdn insert & 21 4. 8 backspo-arrow_forward
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning