Concept explainers
In Fig. 6-15, a horizontal force of 100 N is to be applied to a 10 kg slab that is initially stationary on a frictionless floor, to accelerate the slab. A 10 kg block lies on top of the slab; the coefficient of friction µ between the block and the slab is not known, and the block might slip. In fact, the contact between the block and the slab might even be frictionless. (a) Considering that possibility, what is the possible range of values for the magnitude of the slab’s acceleration aslab? (Hint: You don’t need written calculations; just consider extreme values for µ.) (b) What is the possible range for the magnitude ablock of the block’s acceleration?
Figure 6-15 Question 8.
Trending nowThis is a popular solution!
Chapter 6 Solutions
Fundamentals of Physics Extended
Additional Science Textbook Solutions
Campbell Essential Biology with Physiology (5th Edition)
Cosmic Perspective Fundamentals
Genetic Analysis: An Integrated Approach (3rd Edition)
Campbell Biology (11th Edition)
Microbiology: An Introduction
Anatomy & Physiology (6th Edition)
- In the figure, a force P acts on a block weighing 45.0 N. The block is initially at rest on a plane inclined at angle = 18.0° to the horizontal. The positive direction of the x axis is up the plane. The coefficients of friction between block and plane are μ = 0.540 and Uk = 0.340. In unit-vector notation, what is the frictional force on the block from the plane when Pis (a) (-5.30 N)î, (b) (-8.10 N)î, and (c) (-15.1 N)? (a) Number i (b) Number i (c) Number i i+ i+ i i i+ i j Units j Units j Unitsarrow_forwardA pumpkin of mass 5 kg shot out of a student-made cannon under air pressure at an elevation angle of 45° fell at a distance of 142 m from the cannon. The students used light beams and photocells to measure the initial velocity of 54 m/s. If the air resistive force was F = -kmv, what was the value of k?arrow_forward(b) A worker wishes to pile sand onto a circular area in his yard. The radius of the circle is R. No sand is to spill onto the surrounding area; see Fig. Show that the greatest volume of sand that can be stored in this manner is mu,R 3/3 .where us is the coefficient of static friction of sand on sand. (The volume of a cone is Ah/3, where A is the base area and h is the height.)arrow_forward
- A project of certain space organization had to fire a rocket for some reason. If the desired position of rocket while flying is at an altitude of 15 km where the temperature is – 50°C and speed of the rocket has to correspond with Mach number 2, find the speed of the rocket. Take K = 1.4 and R = 287 J/kg °K.arrow_forwardAn object of mass 0.500 kg is released from the top of a building of height 7.00 m. The object experiences a horizontal constant force of Fwind=(-1.901) due to the wind blowing. Use the standard rectangular coordinate system with the +x axis to the right, +y axis vertically up, and +z axis coming out toward you. Take the origin of the coordinate system to be at the point of release of the object. (a) Find the time it takes for the object to strike the ground. (b) What is the acceleration of the object? Express your answer in vector form. m/s2 (c) What is the displacement of the object before it hits the ground? Express your answer in vector form. d marrow_forwardA railroad car which has a mass 9216 kg is constrained to move along a horizontal track under the action of a wind blowing in the direction of the track. The frictional resistance to the car motion is 1/200 of its weight. The force exerted by wind is P=kSu2, where S is the area of the backside of the railroad car, equals to 6 m2, and u is the velocity of the wind relative to car, k=0.12. The absolute velocity of the wind is w=12 m/s. The initial velocity of the railroad car is 0. Determine:a) the maximum velocity vmax of the railroad car;b) the time T taken to reach this velocity;c) the distance x, travelled by the railroad car before reaching a velocity of 3 m/sarrow_forward
- A 1060 kg artillery shell is fired from a battleship. While it is in the barrel of the gun, it experienced an acceleration of 2.1x10^4 m/s^2. Randomized Variables M=1060kg A=2.1x10^2 m/s^2 (A) what net force is exerted on the artillery shell before it leaves the barrel of the gun (in Newton’s)? (B) what is the magnitude of the force exerted on the ship by the artillery shell in Newton’s?arrow_forwardA boat is being towed at a rate of 20 kph. At the instant (t-0) that the towing line is cast off, a man in the boat begins to row in the direction of motion exerting a force of 90 N. If the combined mass of the man and boat is 225 kg, and the resistance (R) is equal to 26.25 v, where v is measured in mps, find the speed of the boat after ½ min.arrow_forwardIf the magnitude of the resultant force acting on the eyebolt is 600 N and its direction measured clockwise from the positive x axis is 0 = 30°, determine the magnitude of F, and the angle o.arrow_forward
- A block lies on a plane raised an angle θ from the horizontal. Three forces act upon the block: F→w, the force of gravity: F→n, the normal force; and F→f, the force of friction. The coefficient of friction is large enough to prevent the block from sliding. Because the block is not moving, the sum of the y components of the forces acting on the block must be zero. Find an expression for the sum of the y components of the forces acting on the block, using coordinate system b. Because the block is not moving, the sum of the x components of the forces acting on the block must be zero. Find an expression for the sum of the x components of the forces acting on the block, using coordinate system b. To find the magnitude of the normal force, you must express Fn in terms of Fw since Ff is an unknown. Using the equations you found in the two previous parts, find an expression for Fn involving Fw and θ but not Ff.arrow_forwardA block of mass m = 10.5 kg rests on an inclined plane with a coefficient of static friction of µ, = 0.11 between the block and the plane. The inclined plane is L = 6.9 m long and it has a height of h = 3.3 m at its tallest point. Write an expression, in terms of 0, the mass m, the coefficient of static friction u, and the gravitational constant g, for the magnitude of the force due to static friction, F, just before the block begins to slide. Will the block slide?arrow_forwardA dated box of dates, of mass 7.1 kg, is sent sliding up a frictionless ramp at an angle of e to the horizontal. The figure here gives, as a function of time t, the component Vy of the box's velocity along an x axis that extends directly up the ramp. What is the magnitude of the normal force on the box from the ramp? (m/s) 4 2 (s) -2 Number 64.86 Unit the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work SHOW HINT e to search 林 10:44 PM ENG 4/4/2021 13 ) 16 17 tohome %23 3 7. W E R. T. 5arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University