Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 5.9, Problem 5.10CE
To determine
Draw the free body diagram for given three case.
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Consider the figure shown in the following figure. You are lowering two boxes, one on top of the other, down a ramp by pulling on a rope parallel to the surface of the ramp. Both blocks move with constant velocity of 10.0 [m/s]. The coefficient of kinetic friction between the ramp and the lower box is 0.555 and the coefficient of static friction between the two boxes is 0.750. A. Draw the Free-Body diagram of both blocks. Set the ?-axis parallel to the ramp. B. Write Newton’s 2nd law along the ? and ? directions for both blocks considering their state of motion (accelerations).
Block 1 (7.5 kg) is resting on the surface of a table. A hand pushes vertically down on block 1 with a force of 240. N.On a sheet of paper, draw the free body diagram for block 1 using the two-subscript notation from class. After completing the free body diagram, enter below each force and its x & y-components. Remember that the x-component is the "i" component and the y-component is the "j" component.
FORCES on BLOCK 1Weight force on block 1 by Earth: (two-subscript notation)Value = i + j N
Normal force on block 1 by Hand: (two-subscript notation)Value = i + j N
Normal force on block 1 by Surface: (two-subscript notation)Value = i + j N
The diagram below shows an object of mass m= 20kg being acted upon by a force F=50N at an angle of θ=30o. The coefficient of kinetic friction between the object and the surface is 0.100.
a.Draw a Free Body diagram for the object. Be sure to show all forces as well as the reference x,y axis. and Using Newton’s 2nd law, write the force equations for both the x and the y directions. Write these equations in terms of the letters m, F, θ, FN, g, f (little f stands for the friction force).
X-direction: _______________________________________________________________
Y-direction:________________________________________________________________
b.Solve for the Normal Force
c .Use your answer from part b to find the frictional force.
d .Solve for the acceleration of the object.
e.If this object was originally moving at 4 m/s, how fast would it be moving after 8 seconds?
f .How far will…
Chapter 5 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 5.2 - Because Newtons first law is counterintuitive, it...Ch. 5.2 - Train Collision and Newtons First Law A group of...Ch. 5.3 - Shown in Figure 5.4 are four situations in which a...Ch. 5.3 - A person stands on a spring scale in an elevator...Ch. 5.4 - Prob. 5.5CECh. 5.5 - Prob. 5.6CECh. 5.6 - a. Take a moment to be sure that you understand...Ch. 5.7 - Imagine weighing the same bunch of bananas with...Ch. 5.7 - For all three situations, find the magnitude and...Ch. 5.9 - Prob. 5.10CE
Ch. 5.9 - A child jumping off the monkey bars at a...Ch. 5.9 - Prob. 5.12CECh. 5 - Why is it easier to lift a very large beach ball...Ch. 5 - Prob. 2PQCh. 5 - Imagine pushing two blocks on ice. The light block...Ch. 5 - When Julia Child would cook an omelet, she would...Ch. 5 - Prob. 5PQCh. 5 - Prob. 6PQCh. 5 - Prob. 7PQCh. 5 - Prob. 8PQCh. 5 - Prob. 9PQCh. 5 - Prob. 10PQCh. 5 - Prob. 11PQCh. 5 - You blow a small piece of paper through the air....Ch. 5 - Prob. 13PQCh. 5 - Prob. 14PQCh. 5 - Prob. 15PQCh. 5 - Prob. 16PQCh. 5 - Prob. 17PQCh. 5 - A ball hanging from a light string or rod can be...Ch. 5 - Prob. 19PQCh. 5 - You are riding a luxury bus. In front of you is a...Ch. 5 - Prob. 21PQCh. 5 - A particle with mass m = 4.00 kg accelerates...Ch. 5 - The x and y coordinates of a 4.00-kg particle...Ch. 5 - In the movie Garden State, one of the characters...Ch. 5 - The starship Enterprise has its tractor beam...Ch. 5 - A race car is moving around a circular track at a...Ch. 5 - A particle of mass m1 accelerates at 4.25 m/s2...Ch. 5 - Prob. 28PQCh. 5 - Two forces F1=(62.98i15.80j) N and...Ch. 5 - Three forces F1=(62.98i15.80j) N,...Ch. 5 - A hockey stick pushes a 0.160-kg puck with...Ch. 5 - If the vector components of the position of a...Ch. 5 - If the vector components of the position of a...Ch. 5 - A 15.0-kg object is in free fall near the surface...Ch. 5 - A black widow spider hangs motionless from a web...Ch. 5 - Determine whether each of the following statements...Ch. 5 - You place tomatoes in the pan of a hanging spring...Ch. 5 - Kinetic friction is proportional to the normal...Ch. 5 - A student takes the elevator up to the fourth...Ch. 5 - A sleigh is being pulled horizontally by a train...Ch. 5 - Two blocks are connected by a rope that passes...Ch. 5 - Find an expression for the carts acceleration in...Ch. 5 - A woman uses a rope to pull a block of mass m...Ch. 5 - A student working on a school project modeled a...Ch. 5 - One great form of athletic competition for...Ch. 5 - A heavy crate of mass 50.0 kg is pulled at...Ch. 5 - A block with mass m1 hangs from a rope that is...Ch. 5 - To get in shape, you head to the local gym to...Ch. 5 - A block with mass m1 hangs from a rope that is...Ch. 5 - FIGURE P5.49 Problems 49 and 50. Suppose the...Ch. 5 - Two objects, m1 = 3.00 kg and m2 = 8.50 kg, are...Ch. 5 - A runaway piano starts from rest and slides down a...Ch. 5 - Does the ground need to exert a force on you for...Ch. 5 - A boxer breaks his hand by punching another boxers...Ch. 5 - Prob. 55PQCh. 5 - A textbook rests on a movable wooden plank that is...Ch. 5 - Prob. 57PQCh. 5 - Prob. 58PQCh. 5 - Prob. 59PQCh. 5 - A worker is attempting to lift a 55.0-kg palette...Ch. 5 - Prob. 61PQCh. 5 - A concept map is a visual representation of...Ch. 5 - A 75.0-g arrow, fired at a speed of 110 m/s to the...Ch. 5 - Prob. 64PQCh. 5 - A box with mass m1 = 6.00 kg sliding on a rough...Ch. 5 - Prob. 66PQCh. 5 - A cosmic ray muon with mass m = 1.88 1028 kg...Ch. 5 - Prob. 68PQCh. 5 - Prob. 69PQCh. 5 - A 1.50-kg particle initially at rest and at the...Ch. 5 - A block of ice (m = 15.0 kg) with an attached rope...Ch. 5 - A block of ice (m = 15.0 kg) with an attached rope...Ch. 5 - Prob. 73PQCh. 5 - Starting from rest, a rectangular toy block with...Ch. 5 - When a 1.50-kg dress hangs midway from a taut...Ch. 5 - Jamal and Dayo are lifting a large chest, weighing...Ch. 5 - A heavy chandelier with mass 125 kg is hung by...Ch. 5 - Two children, Raffi and John, sitting on sleds...Ch. 5 - Two boxes with masses m1 = 4.00 kg and m2 = 10.0...Ch. 5 - Two blocks of mass m1 = 1.50 kg and m2 = 5.00 kg...Ch. 5 - An aerial demonstration aircraft dives at an angle...Ch. 5 - A painter sits on a scaffold that is connected to...Ch. 5 - Three crates with masses m1 = 5.45 kg, m2 = 7.88...Ch. 5 - A small block with mass m is set on the top of an...
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- Two Blocks having mass m=11.0 kg are connected by a light string passing through two pulleys as shown. The block on the left is resting on an inclined plane of angle 0=45.0° . The pulleys and the planes on which the blocks are resting are frictionless. The blocks are released from rest and allowed to move freely. a. Draw the free body diamgrams for each block and then write down newton's second law of motion for each one separately. b. Find the acceleration of the blocks and the tension in the string.arrow_forwardBlock A in (Figure 1) is heavier than block B and is sliding down the incline. All surfaces have friction. The rope is massless, and the massless pulley turns on frictionless bearings. The rope and the pulley are among the interacting objects, but you'll have to decide if they're part of the system. Figure B IIIIIIIIIII 1 of 1 > Part A Draw a free-body diagram for block A. Draw the vectors starting at the black dot. The location and orientation of the vectors ► View Available Hint(s) + 0 ÑA Normal force on A NB on A Normal force from B to A Fc Force of gravity fk B on A Force of friction between B and A fk A Force of friction between A and the incline T Tension Press [ESC] to return to the main menu. Press (CTRL+Q] to quit the application. i ? Activ Go toarrow_forwardDraw a diagram of the situation and label the givens in the problem: The cart's mass and the hanger's mass. Also label the direction of the cart and hanger's acceleration. Draw two force diagrams. One for the cart and one for the hanger. You can treat the track as frictionless. Remember that the force in the string will be the same throughout the entire string. Then define an x-y coordinate system and find the x and y components of the forces in your diagrams.arrow_forward
- Blocks A and B are held on the palm of your outstretched hand as you lift them straight up atconstant speed. Assume mB>mA and that mhand=0.a. Draw separated free-body diagrams for A, B and your hand. Show all vertical forces andmake sure the vector lengths indicate the relative sizes of the forces.b. Rank in order from largest to smallest all of the vertical forces. Explain your reasoning.Now the hand is lifting the blocks so they have an upward acceleration.c. Draw separated free-body diagrams for A, B and your hand. Show all vertical forces andmake sure the vector lengths indicate the relative sizes of the forces.d. Rank in order from largest to smallest all of the vertical forces for when the block isaccelerating. Explain your reasoning.arrow_forwardDraw a motion diagram, a force identification diagram, and a freebodydiagram. For the situation described. A rocket is being launched straight up. Air resistance is not negligible.arrow_forwardTwo blocks of masses m and m2 (m1 > m2) are placed on a frictionless table in contact with each other. A horizontal force of magnitude F is applied to the block of mass m, in the figure below. F (a) If P is the magnitude of the contact force between the blocks, draw the free-body diagrams for each block. (Do this on paper. Your instructor may ask you to turn in this work.) (b) What is the net force on the system on the system consisting of both blocks? (Use the following as necessary: P and F.) Fnet (c) What is the net force acting on m1? (Use the following as necessary: P and F.) Fnet,1 = (d) What is the net force acting on m2? (Use the following as necessary: P and F.) Fnet,2 = (e) Write the x-component of Newton's second law for each block. (Do this on paper. Your instructor may ask you to turn in this work.) (f) Solve the resulting system of two equations and two unknowns, expressing the acceleration a and contact force P in terms of the masses and force. (Use the following as…arrow_forward
- Calculate the magnitude of the normal force on a 15.2 kg block in the following circumstances. (Enter your answers in N.) The block is resting on a level surface. The block is resting on a surface tilted up at a 30.8° angle with respect to the horizontal. The block is resting on the floor of an elevator that is accelerating upward at 5.03 m/s2. The block is on a level surface and a force of 155 N is exerted on it at an angle of 30.8° below the horizontal.arrow_forwardCalculate the magnitude of the normal force on a 20.2 kg block in the following circumstances. (Enter your answers in N.) The block is resting on a level surface. The block is resting on a surface tilted up at a 30.8° angle with respect to the horizontal. The block is resting on the floor of an elevator that is accelerating downward at 5.03 m/s2. The block is on a level surface and a force of 155 N is exerted on it at an angle of 30.8° below the horizontal.arrow_forwardProblem 5: An object of mass m has these three forces acting on it (there is no normal force, "no surface"). F = 3 N, F2 = 10 N, and F3 = 5 N. When answering the questions below, assume the x-direction is to the right, and they-direction is straight upwards. F, F What is the net force in component form, in terms of F1, F2, F3, and the unit vectors i and j F = 7 8 HOME a F| i j 4 5 y d. F1 1 | 2 3 F2 F3 +| - END h P vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! What is the magnitude of the net force, in newtons? What is the angle e, in degrees, of the net force, measured from the +x-axis? Enter an angle between -180° and 180°. What is the magnitude, Ja of the acceleration, in meters per square second, if the block has a mass of 8.9 kg?arrow_forward
- You push a 5.0-kg block up a ramp by exerting a 100-N force directed parallel to the ramp, which is at a 30∘ angle to the horizontal. Part A Ignoring any effects due to friction, calculate the block's speed when you have pushed it 3.0 m if its velocity when you began pushing was 2.0 m/s up the slope. Express your answer with the appropriate units. Part B Now consider friction. If the coefficient of kinetic friction between block and ramp is μ = 0.25, what is the block's speed after you have pushed it 3.0 m ? Express your answer with the appropriate units Part C With this value of μk how much farther up the ramp does the block move once you stop pushing? Express your answer with the appropriate units.arrow_forwardB The picture shows two masses that are attached by a string over a pulley. Block B is falling and dragging block A across the table. Draw a freebody diagram of both block A and block B. Label all the forces with the variables you have learned in Ch 5. If there is more than one force of the same type, make sure you include a subscript to make it unique. Write an expression for Fnet for block A using unit vector notation.arrow_forwardThere’s a battery powered skateboard hidden in the mop bucket. Assume the mass of the entire system is {43} kg, and gravity is 10 N/kg. (Maybe start with part d?) Draw a Force Body Diagram for the man/bucket, assuming that the man, the bucket, the leaf blower, and the umbrella are all a single object and on level ground. Label and calculate all forces. Explain why this wouldn’t work without the hidden motor in the mop bucket. Explain in terms of the forces between man, umbrella, and leaf blower. Identify two sets of force pairs in this system.arrow_forward
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