A defective satellite of mass $950 \mathrm{~kg}$ is being towed by a spaceship in empty space. The two vessels are connected by a uniform $50 \mathrm{~m}$ rope whose mass per unit length is $1 \mathrm{~kg} / \mathrm{m}$. The spaceship is accelerating in a straight line with acceleration $5 \mathrm{~m} / \mathrm{sec}^{2}$.

What is the force exerted by the spaceship on the rope?
$$
\begin{aligned}
F &=\left(m_{\text {rope }}+m_{\text {gatellite }}\right) \cdot a \\
&=(950+50) \times 5=5 \times 10^{3} \mathrm{~N} .
\end{aligned}
$$