EBK PHYSICS FUNDAMENTALS
2nd Edition
ISBN: 9780100265493
Author: Coletta
Publisher: YUZU
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Chapter 4, Problem 54P
To determine
To Show:The terminal velocity,
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Show that the acceleration of any object down an incline where friction behaves simply (that is, where fk=μkN)fk=μkN) is a=g(sinθ−μkcosθ).a=g(sinθ−μkcosθ). Note that the acceleration is independent of mass and reduces to the expression found in the previous problem when friction becomes negligibly small (μk=0).(μk=0).
The coefficient of static friction between block A and a horizontal floor is 0.470, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00 kg, and they are connected together by a cord.
If the horizonta force F pulling on block B slowly increased, in a direction parallel to the connecting cord, until the blocks start sliding, what is the magnitude of F at the instant that they start to slide?
according to newton's second law, if there is a net force, there will be....
a. a net acceleration
b. zero velocity
c. a constant velocity
d. no forces acting on the object
Chapter 4 Solutions
EBK PHYSICS FUNDAMENTALS
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56P
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- A 3.00-kg block starts from rest at the top of a 30.0 incline and slides a distance of 2.00 m down the incline in 1.50 s. Find (a) the magnitude of the acceleration of the block, (b) the coefficient of kinetic friction between block and plane, (c) the friction force acting on the block, and (d) the speed of the block after it has slid 2.00 m.arrow_forwardA block with mass m1 = 9.2 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.58. A second block with a mass m2 = 10.8 kg is connected to the first by an ideal string passing over an ideal pulley such that the second block is suspended vertically. The second block is released from rest, and motion occurs. Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2. Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx for block 1. Block 1 accelerates along the tabletop, in the horizontal direction, while block 2 moves vertically. With the coordinate system provided in the drawing, we may write a⃗ 1=a1i^a→1=a1i^ and a⃗ 2=a2y^a→2=a2y^. Write an expression that relates the vertical component of the acceleration of block 2 to the horizontal component of the acceleration of block 1. Write an expression using the…arrow_forwardA block with mass m1 = 9.2 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.58. A second block with a mass m2 = 10.8 kg is connected to the first by an ideal string passing over an ideal pulley such that the second block is suspended vertically. The second block is released from rest, and motion occurs. Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2. Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx for block 1. Block 1 accelerates along the tabletop, in the horizontal direction, while block 2 moves vertically. With the coordinate system provided in the drawing, we may write a⃗ 1=a1i^a→1=a1i^ and a⃗ 2=a2y^a→2=a2y^. Write an expression that relates the vertical component of the acceleration of block 2 to the horizontal component of the acceleration of block 1. Write an expression using the…arrow_forward
- A box of mass 15.7 kg slides down an inclined plane without friction. If the acceleration, a, of the box along the direction of the plane is 4.1 m/s2, what is the angle θ (in degrees) of the plane with respect to the horizontal?arrow_forwardA spaceship lifts off vertically from the Moon, where g = 1.6 m/s2. If the ship has an upward acceleration of 1.0 m/s2 as it lifts off, what is the magnitude of the force exerted by the ship on its pilot, who weighs 735 N on Earth?arrow_forwardA block with mass m1 = 8.6 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.74. A second block with a mass m2 = 10.2 kg is connected to the first by an ideal string passing over an ideal pulley such that the second block is suspended vertically. The second block is released from rest, and motion occurs. 1. Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2. 2. Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx for block 1. 3. Block 1 accelerates along the tabletop, in the horizontal direction, while block 2 moves vertically. With the coordinate system provided in the drawing, we may write a1=a1i and a2=a2y. Write an expression that relates the vertical component of the acceleration of block 2 to the horizontal component of the acceleration of block 1. 4. Write an expression using the variables…arrow_forward
- Block A has a mass of 10 kg, and blocks B and c have masses of 5 kg each. Knowing that the blocks are initially at rest and that B moves through 3 m in 2 s, determine (a) the magnitude of the force P, (b) the tension in the cord AD. Neglect the masses of the pulleys and axle friction.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_forwardConsider a skier heading down a 11° slope. Assume the coefficient of friction for waxed wood on wet snow is μk = 0.10 and use a coordinate system in which down the slope is positive. a. Calcuate the magnitude of the acceleration of the skier in m/s2 b. Find the angle, in degrees, of the slope on which this skier could move down the slope at constant velocityarrow_forward
- A 28 kg suitcase is being pulled with constant speed by a handle that is at an angle of 26 ∘ above the horizontal. If the normal force exerted on the suitcase is 180 N, what is the force F applied to the handle?arrow_forwardOn Earth at sea level, a rope can sustain a maximum force of 80.7 N before breaking. What is the weight of the heaviest object it can lift vertically while accelerating with a magnitude of 3.07 m/s2 ?arrow_forwardA block of mass 132 kg lies on a horizontal plane. A horizontal force F of magnitude 1140 N is applied to the block causing it to move 2.8 meters. If the coefficient of friction between the block and the horizontal surface is 0.36, find the acceleration (in m/s2 ) of the block.arrow_forward
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