COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 5, Problem 76QAP
To determine
The coefficient of static friction between the large and the small blocks.
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You are designing a high-speed elevator for a new skyscraper. The elevator will have a mass limit of 2400 kg (including passengers). For passenger comfort, you choose the maximum ascent speed to be 18.0 m/s, the maximum descent speed to be 10.0 m/s, and the maximum acceleration magnitude to be 3.30 m/s2. Ignore friction. What is the minimum value of a 60.0-kg passenger’s apparent weight during the ascent?
A 4.0-kg square block is on an incline plane of 30 degrees angle with respect to the ground.
1)What is the minimum coefficient of static friction (μs)min is need to prevent it from sliding down the incline?
2) When the surface μs is 0.30 to prevent the block sliding, a horizontal force F, parallel to the ground, is applied to the block. find the minimum magnitude of F required to keep the block from moving.
3) When a 20 N uphill force is applied to the block, the block starts to move up along the incline. Find the acceleration of the block
a 0.5-kg block resting on a table is pulled by a constant horizontal force that causes it to accelerate at a rate of 2.5 m/s2.
a) Calculate the magnitude of the applied force if friction between the surface is negligible.
b) Calculate the magnitude of the applied force if friction between the surface is 2 N.
Chapter 5 Solutions
COLLEGE PHYSICS
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- Measuring coefficients of friction A coin is placed near one edge of a book lying on a table, and that edge of the book is lifted until the coin just slips down the incline as shown in Figure P4.82. The angle of the incline, C, called the critical angle, is measured. (a) Draw a free-body diagram for the coin when it is on the verge of slipping and identify all forces acting on it. Your free-body diagram should include a force of static friction acting up the incline. (b) Is the magnitude of the friction force equal to sn for angles less than C? Explain. What can you definitely say about the magnitude of the friction force for any angle c? (c) Show that the coefficient of static friction is given by s = tan c. (d) Once the coin starts to slide down the incline, the angle can be adjusted to a new value c c such that the coin moves down the incline with constant speed. How does observation enable you to obtain the coefficient of kinetic friction? Figure P4.82arrow_forwardWhen you learn to drive, you discover that you need to up slightly on the brake pedal as you come to a stop or the car will stop with a jerk. Explain this in terms of the relationship between static and friction.arrow_forwardOn an airplanes takeoff, the combined action of the air around the engines and wings of an airplane exerts an 8 000-N force on the plane, directed upward at an angle of 65.0 above the horizontal. The plane rises with constant velocity in the vertical direction while continuing to accelerate in the horizontal direction. (a) What is the weight of the plane? (b) What is its horizontal acceleration?arrow_forward
- Consider the three connected objects shown in Figure P5.88. Assume first that the inclined plane is friction-less and that the system is in equilibrium. In terms of m, g, and , find (a) the mass M and (b) the tensions T, and T2. Now assume that the value of Af is double the value found in part (a). Find (c) the acceleration of each object and (d) the tensions T1 and T2. Next, assume that the coefficient of static friction between m and 2m and the inclined plane is m, and that the system is in equilibrium. Find (e) the maximum value of M and (0 the minimum value of M. (g) Compare the values of T2 when M has its minimum and maximum values.arrow_forwardA man exerts a horizontal force of 112 N on a refrigerator of mass 42.0 kg. If the refrigerator doesnt move, what is the minimum coefficient of static friction between the refrigerator and the floor? (See Section 4.6.)arrow_forwardA 9.00-kg hanging object is connected by a light, in extensible cord over a light, frictionless pulley to a 5.00-kg block that is sliding on a flat table (Fig. P5.22). Taking the coefficient of kinetic friction as 0.200, find the tension in the string.arrow_forward
- A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 591 N. As the elevator later stops, the scale reading is 391 N. Assuming the magnitude of the acceleration is the same during starting and stopping, determine (a) the weight of the person, (b) the persons mass, and (c) the acceleration of the elevator.arrow_forwardA block of mass 3.00 kg is pushed up against a wall by a force P that makes an angle of = 50.0 with the horizontal as shown in Figure P5.12. The coefficient of static friction between the block and the wall is 0.250. (a) Determine the possible values for the magnitude of P that allow the block to remain stationary. (b) Describe what happens if P has a larger value and what happens if it is smaller. (c) Repeat parts (a) and (b), assuming the force makes an angle of = 13.0 with the horizontal. Figure P5.12arrow_forwardA 5.00-kg block is placed on top of a 10.0-kg block (Fig. P5.50). A horizontal force of 45.0 N is applied to the 10-kg block, and the 5-kg block is tied to the wall. The coefficient of kinetic friction between all moving surfaces is 0.200. (a) Draw a free-body diagram for each block and identify the action-reaction forces between the blocks. (b) Determine the tension in the string and the magnitude of the acceleration of the 10-kg block. Figure P5.50arrow_forward
- A hot-air balloon of mass Mis descending vertically with downward acceleration of magnitude a. How much mass (ballast) must be thrown out to give the balloon an upward acceleration of magnitude a? Assume that the upward force from the air (the lift) does not change because of the decrease in mass.arrow_forwardQ4;The figure below shows a box with a mass of m = 2.70 kg on a surface inclined at an angle of 35.0°. The coefficient of static friction between the box and the surface is 0.275. Find the minimum magnitude of the force F (in N), applied to the box in a direction perpendicular to the surface, that will prevent the box from sliding down the surface. A rectangular box of mass m is positioned on an inclined surface of angle 35.0° (measured counterclockwise from the horizontal). A force, vector F, is applied down and right on the box, perpendicular to the incline.arrow_forwardP4-6 A ball of mass m=0.49 kg hangs on a light rope from the ceiling of a train. The train accelerates forward, on horizontal tracks, in the positive x direction. The string makes an angle of ϕ=31∘ with vertical. A coordinate system is provided. Part (b) Write an expression for the vertical component of the net force.arrow_forward
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