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The diagram below is a t positive x direction. The second child exerts a force o

ID: 1780020 • Letter: T

Question

The diagram below is a t positive x direction. The second child exerts a force of F'. 8 N at an angle 2 = 30° dockwise from the positive x direction. view of two children pulling a 11.7-kg sled along the snow. The first child exerts a force of F1-1311 at an angle . = 45 (a) Find the magnitude and direction of the friction force acting on the sled if it moves with constant velocity 15 6 Did you What is the acceleration for an object moving with constant velocity? N counterclockwise from the +x-axis (b) What is the coefficient of kinetic friction between the sled and the ground? 136 What is the relationshi 45

Explanation / Answer

here,

F1 = 13 * ( cos(theta1) i + sin(theta1) j) N

F1 = 9.19 i N + 9.19 j N

F2 = 8 * ( cos(theta2) i - sin(theta2) j)

F2 = 7.01 i N - 4 j N

net force , F = F1 + F2

F = 16.2 i N + 5.19 j N

a)

as the sled is moving at constant speed,

the net force is zero

ff = - F = - 16.2 i N - 5.19 j N

the magnitude of frictional force , |ff| = sqrt(16.12^2 + 5.19^2) N

|ff| = 17 N

theta = arctan(-16.2 /(-5.19))

theta = 199.5 degree counterclockwise from +x axis


b)

let the coefficient of kinetic friction be uk

uk* M * g = ff

uk * 11.7 * 9.8 = 17

uk = 0.15