Astudent standing on a stationary skateboard tosses a textbook with a mass of mb = 1.25 kg to a friend standing in front of him. the student and the skateboard have a combined mass of mc = 112 kg and the book leaves his hand at a velocity of vb = 3.61 m/s at an angle of 31° with respect to the horizontal.

randomized variables :

mt = 1.05 kg

mc = 104 kg

vb = 2.25 m/s

θ = 22 degrees

what is an expression for the magnitude of the velocity the student has after throwing the book?

The velocity of the student has after throwing the book is 0.0345 m/s.

Explanation:

Given that,

Mass of book =1.25 kg

Combined mass = 112 kg

Velocity of book = 3.61 m/s

Angle = 31°

We need to calculate the magnitude of the velocity of the student has after throwing the book

Using conservation of momentum along horizontal  direction

Put the value into the formula

Hence, The velocity of the student has after throwing the book is 0.0345 m/s.

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