A large block is being pushed against a smaller block such that the smaller block remains elevated while being pushed. The mass of the smaller block is m = 0.30 kg. It is found through repeated experimentation that the blocks need to have a minimum acceleration of a = 12 m/s² in order for the m smaller block to remain elevated and not slide down. What is the coefficient of static friction µ, between the two blocks? Hs =

A large block is being pushed against a smaller block such that the smaller block remains elevated while being pushed. The mass of the smaller block is m = 0.30 kg. It is found through repeated experimentation that the blocks need to have a minimum acceleration of a = 12 m/s² in order for the m smaller block to remain elevated and not slide down. What is the coefficient of static friction µ, between the two blocks? Hs =

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Description: A large block is being pushed against a smaller block suchthat the smaller block remains elevated while being pushed.The mass of the smaller block is m = 0.30 kg. It is foundthrough repeated experimentation that the blocks need tohave a minimum acce

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter4: Newton's Laws Of Motion

Section: Chapter Questions

Problem 24P: A block of mass m = 5.8 kg is pulled up a = 25 incline as in Figure P4.24 with a force of magnitude...

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If a single constant force acts on an object that moves on a straight line, the objects velocity is a linear function of time. The equation v = vi + at gives its velocity v as a function of time, where a is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation v = vi kx, where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object.
A crate of weight Fg is pushed by a force P on a horizontal floor as shown in Figure P4.83. The coefficient of static friction is s, and P is directed at angle below the horizontal. (a) Show that the minimum value of P that will move the crate is given by P=sFgsec1stan (b) Find the condition on in terms of , for which motion of the crate is impossible for any value of P. Figure P4.83
In Example 4.6, we investigated the apparent weight of a fish in an elevator. Now consider a 72.0-kg man standing on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.20 m/s in 0.800 s. It travels with this constant speed for the next 5.00 s. The elevator then undergoes a uniform acceleration in the negative y direction for 1.50 s and comes to rest. What does the spring scale register (a) before the elevator starts to move, (b) during the first 0.800 s, (c) while the elevator is traveling at constant speed, and (d) during the time interval it is slowing down?
A box with mass m1 = 6.00 kg sliding on a rough table with a coefficient of kinetic friction of 0.220 is connected by a mass-less cord strung over a mass-less, frictionless pulley to a second box of mass m2 = 12.0 kg hanging from the side of the table (Fig. P5.51). What is the tension in the cord connecting the boxes?
A block of mass m = 5.8 kg is pulled up a = 25 incline as in Figure P4.24 with a force of magnitude F = 32 N. (a) Find the acceleration of the bloc k if the incline is frictionless. (b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.10. Figure P4.24
The manager of a department store is pushing horizontally with a force of magnitude 200 N on a box of shirts. The box is sliding across the horizontal floor with a forward acceleration. Nothing else touches the box. What must be true about the magnitude of the force of kinetic friction acting on the box (choose one)? (a) It is greater than 200 N. (b) It is less than 200 N. (c) It is equal to 200 N. (d) None of those statements is necessarily true.
A block of mass m = 5.8 kg is pulled up a = 25 incline as in Figure P4.24 with a force of magnitude F = 32 N. (a) Find the acceleration of the bloc k if the incline is frictionless. (b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.10. Figure P4.24
A 6.0-kg object undergoes an acceleration of 2.0 m/s2. (a) What is the magnitude of the resultant force acting on it? (b) If this same force is applied to a 4.0-kg object, what acceleration is produced?
For the woman being pulled forward on the toboggan in Figure 4.33, is the magnitude of the normal force exerted by the ground on the toboggan (a) equal to the total weight of the woman plus the toboggan, (b) greater than the total weight, (c) less than the total weight, or (d) possibly greater than or less than the total weight, depending on the size of the weight relative to the tension in the rope?
Kinetic friction is proportional to the normal force (Eq. 5.9). Why should there be an intimate connection between these two forces?
The coefficient of static friction between the 3.00-kg crate and the 35.0 incline of Figure P4.31 is 0.300. What minimum force F must be applied to the crate perpendicular to the incline to prevent the crate from sliding down the incline? Figure P4.31
A car is stuck in the mud. A tow truck pulls on the car with the arrangement shown in Fig. P4.32. The tow cable is under a tension of 2 500 N and pulls downward and to the left on the pin at its upper end. The light pin is held in equilibrium by forces exerted by the two bars A and B. Each bar is a strut; that is, each is a bar whose weight is small compared to the forces it exerts and which exerts forces only through hinge pins at its ends. Each strut exerts a force directed parallel to its length. Determine the force of tension or compression in each strut. Proceed as follows. Make a guess as to which way (pushing or pulling) each force acts on the top pin. Draw a free-body diagram of the pin. Use the condition for equilibrium of the pin to translate the free-body diagram into equations. From the equations calculate the forces exerted by struts A and B. If you obtain a positive answer, you correctly guessed the direction of the force. A negative answer means that the direction should be reversed, but the absolute value correctly gives the magnitude of the force. If a strut pulls on a pin, it is in tension. If it pushes, the strut is in compression. Identify whether each strut is in tension or in compression.