A loaded penguin sled weighing 80 N rests on a plane inclined at angle θ=20 degress to the horizontal. between the sled and the plane, the coefficent of kinetic of static friction is .25. and the coefficent of kinetic friction is .15 (a) what is the least magnitude of the force F, parallal to the plane what will prevent the sled from slipping down the plane? (b) what is the minimum magnitude F that will start the sled moving up the plane? (c) what value of F is required to move the sled up the plane at constant velocity?
The concepts used to solve this question is free body diagram and Newton’s laws of motion.
Initially, draw the free body diagram of the given situation and later apply Newton’s laws of motion to the least force acting on the sled that will prevent it from slipping down the plane. Later determine the minimum force required to move the sled up the plane. At last,calculate the force needed to move the sled up the plane at a constant velocity by using Newton’s laws of motion.
An object is said to be in motion when it changes its position from one place to another. The object will accelerate if there is a net force acting on the object. The magnitude of the net force is proportional to the mass of the object and acceleration of the object.
The magnitude of the net force acting on the object is,
Here, is the mass of the object and is the acceleration of the object.
(a)
The free body diagram for the given situation is drawn below.
Apply Newton’s laws of motion
The minimum force acting on the sled is,
…… (1)
Here, is the angle of inclination and is the force of friction.
The force of friction acting on the sled is,
…… (2)
Here, is the coefficient of static friction and is the normal force acting on the sled.
The normal force acting on the sled is,
…… (3)
Substitute equation (3) in (2).
…… (4)
Substitute equation (4) in (1).
…… (5)
Substitute for and for in the equation (5).
(b)
The diagram for the sled is drawn below.
The minimum force acting on the sled is,
…… (6)
Substitute equation (4) in equation (6).
…… (7)
Substitute for and for in the equation (7).
(c)
The net force acting on the sled is,
…… (8)
The force of friction acting on the sled is,
…… (9)
Here, is the coefficient of kinetic friction.
Substitute equation (9) in equation (8).
…… (10)
Substitute for and for in the equation (10).
Ans: Part a
The minimum force needed to prevent the sled from slipping downwards is
Part bThe minimum force needed to prevent the sled from moving up the inclined plane is
Part cThe force required to move the sled up the inclined plane is
A loaded penguin sled weighing 80 N rests on a plane inclined at angle θ=20 degress...
A loaded penguin sled weighing 89.0 N rests on a plane inclined at angle θ = 21.0° to the horizontal (see the figure). Between the sled and the plane, the coefficient of static friction is 0.260, and the coefficient of kinetic friction is 0.130. (a) What is the minimum magnitude of the forceF→, parallel to the plane, that will prevent the sled from slipping down the plane? (b) What is the minimum magnitude F that will start the sled moving up the plane? (c) What value of F is required to move the sled up...
A loaded penguin sled weighing 80 N rests on a plane inclined at 20° to the horizontal. Between the sled and the plane the coefficient of static friction is 0.26, and the coefficient of kinetic friction is 0.17.What is the minimum magnitude of the force F, parallel to the plane, that will prevent the sled from slipping down the plane?What is the minimum magnitude F that will start the sled moving up the plane?What value of F is required to...
A loaded penguin sled weighing 64 N rests on a plane inclined at 20° to the horizontal. Between the sled and the plane the coefficient of static friction is 0.20, and the coefficient of kinetic friction is 0.17. (a) What is the minimum magnitude of the force , parallel to the plane, that will prevent the sled from slipping down the plane? ___N (b) What is the minimum magnitude F that will start the sled moving up the plane? ___...
A loaded penguin sled weighing 86.0 Nrests on a plane inclined at angle 8-200 to the horizontal (see the figure). Between the sled and the plane, the coefficient of static friction s o.240, and the coefficient of kinetic friction s0.150. (a) What is the minimum magnitude of the force F parallel to the plane, that will prevent the sled from magnitudle F that will start the sled moving up the plane?(d What value of F is required to move the...
Please help solve and show steps to better understand. A loaded penguin sled weighing 75 N rests on a plane inclined at angle theta = 25degree to the horizontal (see the figure). Between the sled and the plane, the coefficient of static friction is 0.26, and the coefficient of kinetic friction is 0.13. (a) What is the minimum magnitude of the force F^rightarrow, parallel to the plane, that will prevent the sled from slipping down the plane? (b) What is...
1. The figure shows a box with mass m1 on a frictionless plane inclined at angle ?1. The box is connected via a cord of negligible mass to another box with mass m2 on a frictionless plane inclined at angle ?2 (> ?1). The pulley is frictionless and has negligible mass and assumes that the setup is on the surface of the earth. a) Provide free-body force diagram for both boxes. b) What is the acceleration in terms of m1,...
A sled weighing 60.0 N is pulled up a snowy hill inclined at 10 degrees to the horizontal at a constant speed so that the coefficient of kinetic friction between sled and snow is 0.070. A penguin weighing 70.0 N rides on the sled. If the coefficient of static friction between penguin and sled is 0.950, find a). the force of friction between the sled and the snow, b). the force of static friction between the penguin and the sled,...
explain please E. arctan(a/vr) 11. In what aituations, if ang, can force? body move in a eircular peth at coatant ped withoal eeatripetal A. None. 0) In certain special non-inertial frames C. In all non-inertial frames. ex, D. In all inertial frames. E Always 12. A loaded penguin sled weighing 80 N reeta on a plane inclined at angle 20 to the horieontal (ee Egure below) Between the sled and the plane, the coefficieet of static friction in 0.25, and...
Consider a box on an inclined plane. The inclination angle relative to the horizontal is θ = 30 ° and the mass of the body is 14.9 kg. What is the minimum coefficient of static friction required to keep the body from sliding down? Consider a box on an inclined plane. The inclination angle relative to the horizontal is θ = 30 ° and the mass of the body is 14.9 kg. What is the minimum coefficient of static friction...
Halliday, Fundamentals of Physics, 11e PHYSICS FOR SCEENTISTS AND ENGINEER (PHYS 211/212) ORIONDoweloadable eTextbook 0.280, and the coefficent mag dde , that the coefficent of statc fction A loaded penguim sled weighing 79.0 N rests on a plane inclined at angle 8 -23,.0 to the honsontal (see the toure). Between the sed and the plane, ofkinet c frction s 0.1 70 (a What sthe mum um magntude of the , ce F paralel to the pla e, that will prever,...