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Concept explainers
(a)
The expression for the normal force exerted on the object and the table for normal force and angle of range
(b)
The expression for acceleration on the object and the table for acceleration and angle of range
(c)
To plot: The graph of normal force and the acceleration as a function of incline angle.
Introduction: The acceleration of any object is defined as the rate of change of the velocity on an object with respect to time and the normal force is acts always perpendicular to the surface of motion of any object.
(d)
To explain: Weather the results of the normal force and acceleration is consistent with the known behavior or not for the limiting case of
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Chapter 5 Solutions
Physics for Scientists and Engineers with Modern Physics
- If the vector components of the position of a particle moving in the xy plane as a function of time are x(t)=(2.5ms2)t2i and y(t)=(5.0ms3)t3j, when is the angle between the net force on the particle and the x axis equal to 45?arrow_forwardA sleigh is being pulled horizontally by a train of horses at a constant speed of 8.05 m/s. The magnitude of the normal force exerted by the snow-covered ground on the sleigh is 6.37 103 N. a. If the coefficient of kinetic friction between the sleigh and the ground is 0.23, what is the magnitude of the kinetic friction force experienced by the sleigh? b. If the only other horizontal force exerted on the sleigh is due to the horses pulling the sleigh, what must be the magnitude of this force?arrow_forwardA 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.arrow_forward
- You push an object, initially at rest, across a frictionless floor with a constant force for a time interval t, resulting in a final speed of v for the object. You then repeat the experiment, but with a force that is twice as large. What time interval is now required to reach the same final speed v? (a) 4 t (b) 2 t (c) t (d) t/2 (e) t/4arrow_forwardA 2.60 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 7.29 N and a vertical force P are then applied to the block (see the figure). The coefficients of friction for the block and surface are us = 0.4 and Pk = 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of P is (a)6.00 N and (b)8.00 N. (The upward pull is insufficient to move the block vertically.) (a) Number Units (b) Number Unitsarrow_forwardA small block with mass 0.327 kg is sliding down a frictionless ramp that is inclined at an angle of 53.1° above the horizontal. Assume g = 9.80 m/s2. (a) As the object slides down the incline, what is the magnitude of the normal force that the surface of the incline exerts on the block?(b) As the object slides down the incline, what is the magnitude of the component of the gravity force parallel to the surface of the incline?arrow_forward
- Your answer is partially correct. In the figure, a crate of mass m = 88 kg is pushed at a constant speed up a frictionless ramp (e = 30°) by a horizontal force F.The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate? (a) Number i 508.07 Units (b) Number i 1016.135 Units Narrow_forwardYour friend asks for help moving a box across the apartment floor and tells you that the box weighs 422 N. Your friend also informs you the box, currently motionless, has a coefficient of static friction (us=0.42) and a coefficient of kinetic friction (u=0.31) between it and the floor. You apply a horizontal force of 208 N on the box. Calculate the magnitude of the frictional force, f, acting on the box while you apply that force. Take the acceleration of gravity to be 9.81 m/s². f = O Search N 7:59 PM 11/29/2022arrow_forwardA 2.5 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 6.2 N and a vertical force P are then applied to the block. The coefficients of friction for the block and surface are us = 0.38 and uk = 0.22. (a) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 8.0 N. (b) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 10.0 N. (c) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 12.0 N.arrow_forward
- In the figure, a 5.30 kg block is sent sliding up a plane inclined at 0 = 37.0° while a horizontal force F of magnitude 50.0 N acts on it. The coefficient of kinetic friction between block and plane is 0.340. What are the (a) magnitude and (b) direction (up or down the plane) of the block's acceleration? The block's initial speed is 4.00 m/s. (c) How far up the plane does the block go? (d) When it reaches its highest point, does it remain at rest or slide back down the plane? (a) Number Units (b) (c) Number i Units (d)arrow_forwardA sled is on an icy (frictionless) slope that is 30° above the horizontal. When a force of 40 N oriented parallel to the incline and directed up the incline, is applied to the sled, the acceleration of the sled is 2.0 m/s² down the incline. The normal force acting on the sled is:arrow_forwardA 2.5 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 5.7 N and a vertical force P are then applied to the block. The coefficients of friction for the block and surface are ls = 0.43 and lk = 0.24. (a) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 8.0 N. (b) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 10.0 N. N (c) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 12.0 N. Narrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
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