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Olin [163]
3 years ago
8

How far can a mother push a 20.0 kg baby carriage, using a force of 62.0 N at an angle of 30.0º to the horizontal, if she can do

2920 J of work?
Physics
2 answers:
Morgarella [4.7K]3 years ago
4 0

Answer:

54.4 m

Explanation:

The work done by the mother in pushing the carriage is equal to:

W=Fdcos \theta

where

F is the force applied

d is the displacement of the carriage

\theta is the angle between the direction of the force and the displacement

In this problem, we have the following data:

F=62.0 N is the force

W = 2920 J is the work done

\theta=30.0^{\circ} is the angle between the direction of the force and the displacement

Re-arranging the equation above and substituting data, we find the displacement:

d=\frac{W}{F cos \theta}=\frac{2920 J}{(62.0 N)(cos 30^{\circ})}=54.4 m


nekit [7.7K]3 years ago
4 0

Answer:

54.4 m

Explanation:

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The value is R_f =  \frac{4}{5}  R

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From the question we are told that

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Here \Delta K is the change in kinetic energy from initial position to a  position of  distance R  from the nucleus , this is mathematically represented as

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=>    \Delta K  =  \frac{1}{2}  *  m  * (\frac{1}{2} * v_o )^2  -  \frac{1}{2}  *  m  *  v_o^2

=>    \Delta K  =  \frac{1}{2}  *  m  * \frac{1}{4} * v_o ^2  -  \frac{1}{2}  *  m  *  v_o^2

And  \Delta  P is the change in electric potential energy  from initial position to a  position of  distance R  from the nucleus , this is mathematically represented as

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             \Delta P =  k  *  \frac{q_1 * q_2 }{R}  - 0

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           \frac{1}{2}  *  m  * \frac{1}{4} * v_o ^2  -  \frac{1}{2}  *  m  *  v_o^2 =   k  *  \frac{q_1 * q_2 }{R}  - 0

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Here R_f represented the distance of the proton from the nucleus where the velocity is  \frac{1}{4} v_o

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=>    \Delta K_f  =  \frac{1}{2}  *  m  * (\frac{1}{4} * v_o )^2  -  \frac{1}{2}  *  m  *  v_o^2

=>    \Delta K_f  =  \frac{1}{2}  *  m  * \frac{1}{16} * v_o ^2  -  \frac{1}{2}  *  m  *  v_o^2

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Here  P_i is zero because the electric potential energy at the initial stage is  zero  so

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          \frac{1}{2}  *  m  * \frac{1}{8} * v_o ^2  -  \frac{1}{2}  *  m  *  v_o^2 =   k  *  \frac{q_1 * q_2 }{R_f }

=>        \frac{1}{2}  *  m  *v_o^2 [-\frac{15}{16} ]  =   k  *  \frac{q_1 * q_2 }{R_f }

=>        - \frac{15}{32}  *  m  *v_o^2 =   k  *  \frac{q_1 * q_2 }{R_f } ---(2)

Divide equation 2  by equation 1

              \frac{- \frac{15}{32}  *  m  *v_o^2 }{- \frac{3}{8}  *  m  *v_0^2  } }   =  \frac{k  *  \frac{q_1 * q_2 }{R_f } }{k  *  \frac{q_1 * q_2 }{R } }}

=>           -\frac{15}{32 } *  -\frac{8}{3}   =  \frac{R}{R_f}

=>           \frac{5}{4}  =  \frac{R}{R_f}

=>             R_f =  \frac{4}{5}  R

   

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