The diagram below is a top-down view of two children pulling a 13.2-kg sled along the snow. The first child exerts a force of F| = 12.0 N at an angle 0, = 45.0° counterclockwise from the positive x direction. The second child exerts a force of |F2| = 6.00 N at an angle 02 = 30.0° clockwise from the positive x direction. We use a right-handed coordinate system with the +x axis and +z axis in the horizontal plane, and the +y axis out of the page. F1 X (a) Find the friction force acting on the sled if it moves with constant velocity. Express your answer in vector form. f = N (b) What is the coefficient of kinetic friction between the sled and the ground? (c) What is the acceleration of the sled if F1 is doubled and F2 is halved in magnitude? Express your answer in vector form. a = m/s2

The diagram below is a top-down view of two children pulling a 13.2-kg sled along the snow. The first child exerts a force of F| = 12.0 N at an angle 0, = 45.0° counterclockwise from the positive x direction. The second child exerts a force of |F2| = 6.00 N at an angle 02 = 30.0° clockwise from the positive x direction. We use a right-handed coordinate system with the +x axis and +z axis in the horizontal plane, and the +y axis out of the page. F1 X (a) Find the friction force acting on the sled if it moves with constant velocity. Express your answer in vector form. f = N (b) What is the coefficient of kinetic friction between the sled and the ground? (c) What is the acceleration of the sled if F1 is doubled and F2 is halved in magnitude? Express your answer in vector form. a = m/s2

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 40PQ: A sleigh is being pulled horizontally by a train of horses at a constant speed of 8.05 m/s. The...

See similar textbooks

Similar questions

A 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.
An object of mass m = 1.00 kg is observed to have an acceleration a with a magnitude of 10.0 m/s2 in a direction 60.0 east of north. Figure P4.29 shows a view of the object from above. The force F2 acting on the object has a magnitude of 5.00 N and is directed north. Determine the magnitude and direction of the one other horizontal force F1 acting on the object. Figure P4.29
A 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?
The figure shows an overhead view of a 0.025 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F→1 has a magnitude of 3 N and is at θ1 = 29˚. Force F→2 has a magnitude of 8 N and is at θ2 = 27˚. In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity v→=(11î −16ĵ ) m/s, and (c) has the v→=(11tî −11tĵ ) m/s2, where t is time?
A block with mass m1 hangs from a rope that is extended over an ideal pulley and attached to a second block with mass m2 that sits on a ledge. The second block is also connected to a third block with mass m3 by a second rope that hangs over a second ideal pulley as shown in the figure below. If the friction between the ledge and the second block is negligible,m1 = 2.00 kg, m2 = 5.80 kg,and m3 = 8.20 kg, find the magnitude of the tension in each rope and the acceleration of each block. (Enter the magnitude.) a=?m/s^2. T12=?N.T23=?N.
A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.855 m/s encounters a rough horizontal surface of length ℓ = 0.65 m. If the coefficient of kinetic friction between the crate and rough surface is 0.357 and he exerts a constant horizontal force of 277 N on the crate, find the magnitude and direction of the net force on the crate while it is on the rough surface.
There are two forces on the 1.19 kg box in the overhead view of the figure but only one is shown. For F1 = 15.7 N, a = 14.7 m/s2, and θ = 34.1°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.)
An electron is a subatomic particle (m = 9.11 x 10-31 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +7.11 x 105 m/s to a final velocity of 2.21 x 106 m/s while traveling a distance of 0.0678 m. The electron's acceleration is due to two electric forces parallel to the x axis: = 7.82 x 10-17 N, and , which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force
Suppose that the block now moves across the surface with constant speed under the action of a horizontal 3.0-N force. Which one of the following statements concerning this situation is false? A) The direction of the total force that the surface exerts on the block is vertically upward B) The block is not accelerated. C) The net force on the block is zero newtons. D) The frictional force on the block has magnitude 3.0 N.
The force acting on an object is given by Fx = (5x − 6) N, where x is in meters. (a) Choose the plot that best describes the force versus x from x = 0 to x = 3.00 m. A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). The line starts at (0,−3) and extends up and to the right at a constant slope to (3,9). A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). The line starts at (0,−6) and extends up and to the right at a constant slope to (3,9). A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). The line starts at (0,3) and extends down and to the right at a constant slope to (3,−9). A line is plotted on a coordinate plane that has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). The line starts at (0,6) and extends down and to the right at a constant slope to…
What is the average force exerted by a 70 kg passenger on his seatbelt when his car crashes onto a concrete wall? The car moving at 17.90 m/s comes to halt in 0.10s
A particle with a mass of 10 kg is moving at a velocity of (3t^2 + 4t)j m/s. What would be the expression for the external net force F(t) being applied to the particle? Note: i and j are unit vectors