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devlian [24]
3 years ago
6

A student standing on a stationary skateboard tosses a textbook with a mass of mb = 1.5 kg to a friend standing in front of him.

The student and the skateboard have a combined mass of mc = 105 kg and the book leaves his hand at a velocity of vb = 2.97 m/s at an angle of 26° with respect to the horizontal.
(a)Write an expression for the magnitude of the velocity of the student,vs, after throwing the book(b)Calculate the magnitude of the velocity of the student,vs, in meters per second?(c)What is the magnitude of the momentum,pe, which was transferred from the skateboard to the the Earth during the time the book isbeing thrown (in kilogram meters per second)?
Physics
1 answer:
RSB [31]3 years ago
5 0

Answer:

a) v_s=\frac{m_bv_bcos\theta}{m_c}

b)  v_s=0.0385 m/s

c) P_e= 1.952 kg.m/s

Explanation:

Given:

Mass of the skateboard, m_b = 1.5 kg

Combined mass, m_c = 105 kg

velocity of the book, v_b = 2.97 m/s

angle, θ = 26°

thus,

horizontal component of the velocity = vcosθ

vertical component of velocity = vsinθ

a) Applying the concept of conservation of momentum

m_bv_bcos\theta=m_cv_s

where,

v_s is the velocity of the the student

thus,

v_s=\frac{m_bv_bcos\theta}{m_c}      ............(1)

b) on substituting the values, in the equation we get the magnitude

v_s=\frac{1.5\times2.97cos26^o}{105}

or

v_s=0.0385 m/s

c) Now, the momentum (P) transferred is given as:

P = mass × velocity

on substituting the values, we get

P_e= mass × velocity

or

P_e= m_b\times v_b\times \sin\theta

on substituting the values, we get

P_e= 1.5\times 2.97\times \sin26^o

or

P_e= 1.952 kg.m/s

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Answer:

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Explanation:

The free body diagram of the question is shown on the first uploaded image From the question we are told that

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          The mass tied between the two cloth line is  m = 3Kg

         The distance it sags is d_s = 1m

The objective of this solution is to obtain the magnitude of the tension on the ends of the  clothesline

Now the sum of the forces on the y-axis is zero assuming  that the whole system is at equilibrium

       And this can be mathematically represented as

                             \sum F_y = 0

 To obtain \theta we apply SOHCAHTOH Rule

 So    Tan \theta = \frac{opp}{adj}

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          =8.130^o

=>  \  \ \ \ \ \ \ \ 2T sin\theta -mg =0

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=>  \  \ \ \ \ \ \ \  T =\frac{29.4}{2sin(8.130)}

=>  \  \ \ \ \ \ \ \  T = 103.96N

             

                 

5 0
2 years ago
Read 2 more answers
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