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Review. Three forces acting on an object are given by
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Chapter 5 Solutions
Physics for Scientists and Engineers
- Only two forces act on an object (mass=3.61 kg), as in the drawing. Find (a) the magnitude and (b) the direction (relative to the x axis) of the acceleration of the object. (a) Number (b) Number i 145.0° 1 40.0 N 60.0 N +X Units Unitsarrow_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 Find the angle at which the total force is applied. Ans. 62.15° NEERINarrow_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 c. Find the angle at which the total force is applied. Ans. 62.15°arrow_forwardYou are pushing a rubber crate against a concrete floor. The two surfaces have a static coefficient of friction of 0.61 and a kinetic coefficient of friction of 0.49. The floor is horizontal, and the crate has a mass of 25.0 kg, and is initially at rest. You are pushing with a horizontal force of 100 N. What is the magnitude of the force of friction in this case? Give your answer in units of N, to three significant figures.arrow_forwardYou are pushing a rubber crate against a concrete floor. The two surfaces have a static coefficient of friction of 0.66 and a kinetic coefficient of friction of 0.52. The floor is horizontal, and the crate has a mass of 25.0 kg, and is initially at rest. You are pushing with a horizontal force of 85 N. What is the magnitude of the force of friction in this case? Give your answer in units of N, to three significant figures. You are pushing a wooden crate against a rubber floor. The two surfaces have a static coefficient of friction of 0.54 and a kinetic coefficient of friction of 0.42. The floor is horizontal, and the crate has a mass of 25.0 kg, and is initially at rest. You are pushing with a horizontal force of 135 N. What is the magnitude of the force of friction in this case? Give your answer in units of N, to three significant figures.arrow_forward
- You place a crate of mass 40.9 kg on a frictionless 2.64-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.52 s after you released it. What is the angle of the incline? 17.6 degrees 13.5 degrees 21.6 degrees 25.9 degreesarrow_forwardA 1.80x10^4 kg semi-trailer truck drives up a 200 m hill [θ = 30 degrees above horizontal], at a constant speed of 25.0 m/s. The force of friction is 6.00x10^2 N. Write an equation to isolate and solve for P.arrow_forwardA small block travels up a frictionless incline that is at an angle of 30.0° above the horizontal. The block has speed 1.64 m/s at the bottom of the incline. Assume g = 9.80 m/s2. How far up the incline (measured parallel to the surface of the incline) does the block travel before it starts to slide back down?arrow_forward
- Two forces F, = -8.40i + 4.30j and F, = 7.50i + 5.30j are acting on an object with a mass of m = 7.80 kg. The forces are measured in newtons, i and j are the unit vectors. What is the magnitude of the object's acceleration? Submit Answer Tries 0/10arrow_forwardYou are pushing a metal crate against a metal floor. The two surfaces have a static coefficient of friction of 0.62 and a kinetic coefficient of friction of 0.50. The floor is horizontal, and the crate has a mass of 25.0 kg. What is the minimum force you need to apply to get the crate moving from rest? Give your answer in units of N, to three significant figures.arrow_forwardYou place a crate of mass 31.6 kg on a frictionless 3.00-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.34 s after you released it. What is the angle of the incline? A 24.9 degrees B 19.9 degrees C 29.9 degrees D 44.9 degreesarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning