A flea jumps by exerting a force of 1.22 10-5 N straight down on the ground. A b

Question

A flea jumps by exerting a force of 1.22 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 1.14 10-6 N on the flea. Find the direction and magnitude of the acceleration of the flea if its mass is 6.0 10-7 kg. (Let us assume that Fwind points to the right. We will consider this to be the +x direction and vertical to be the +y direction.)

a. magnitude in meters per second (9.60 is incorrect)

b. direction in degrees (measured clockwise from the virtical) (88.8 is incorrect)

Explanation / Answer

Force balance on the flea

Fv = 1.22*10^-5 - mg

Fv = 1.22*10^-5 - 6*10^-7*9.81

Fv = 6.314*10^-6 N

Fh = 1.14*10^-6 N

|F| = sqrt (Fh^2 + Fv^2)

|F| = 10^-6*sqrt (1.14^2 + 6.314^2)

|F| = 6.416*10^-6 N

direction will be

theta = arctan (6.314/1.14) = 79.76 deg

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