From the gravitational law, calculate the weight W (gravitational force with respect to the earth) of a 70 kg spacecraft traveling in a circ

Question

From the gravitational law, calculate the weight W (gravitational force with respect to the earth) of a 70 kg spacecraft traveling in a circular orbit 275 km above the earth’s surface. Express W in Newtons and pounds.

in progress 0
Kiệt Gia 2 months 2021-07-29T20:08:11+00:00 1 Answers 1 views 0

Answers ( )

    0
    2021-07-29T20:09:50+00:00

    Answer:

    The  value in Newton is W =  631.92 \  N

    The  value in pounds is    W  = 142 \ lb

    Explanation:

    From the question we are told that

      The  mass of the spacecraft is  m =  70 \  kg

       The distance above  the earth is  d =  275 \  km  =  275000 \  m

    Generally the gravitational force with respect to the earth is mathematically represented as

           W =  \frac{G * m *  m_e}{ (d + r_e)^2}

    Here m_e is the mass of earth with value m_e =  5.978 *10^{24} \  kg

           r_e is the radius of the earth with value  r_e  =  6371  \ km  =  6371000 \ m

       G is the gravitational constant with value G  =  6.67 *10^{-11}  \  m^3/ kg\cdot s^2

    So

         W =  \frac{ 6.67 *10^{-11} *  70 *  5.978 *10^{24}}{ (275000 + 6371000)^2}

         W =  631.92 \  N

    Converting to  pounds

        W =  \frac{631.92  }{4.45}

            W  = 142 \ lb

         

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )