State the two conditions that must be satisfied for a system to be in equilibrium.
A paraglider P of mass $95\,\text{kg}$ is towed by a wire attached to a boat, as shown in Fig. 2.1. The wire is inclined at $25^{\circ}$ to the horizontal water surface. P travels in a straight line parallel to the water surface. Fig. 2.2 shows how the velocity $v$ of P varies with time $t$.
Show that the acceleration of P is $1.4\,\text{m s}^{-2}$ at time $t = 5.0\,\text{s}$.
Calculate the total distance travelled by P from $t = 0$ to $t = 7.0\,\text{s}$.
Calculate the change in kinetic energy of P from time $t = 0$ to $t = 7.0\,\text{s}$.
The tension in the wire at time $t = 5.0\,\text{s}$ is $280\,\text{N}$. For the horizontal motion, calculate the vertical lift force $F$ supporting P.
Calculate the force $R$ due to air resistance acting on P in the horizontal direction.
Show that the acceleration of P is $1.4\,\text{m s}^{-2}$ at time $t = 5.0\,\text{s}$.
Calculate the total distance travelled by P from time $t = 0$ to $t = 7.0\,\text{s}$.
Calculate the change in kinetic energy of P from time $t = 0$ to $t = 7.0\,\text{s}$.
The tension in the wire at time $t = 5.0\,\text{s}$ is $280\,\text{N}$. For the horizontal motion, calculate the vertical lift force $F$ supporting P.
The tension in the wire at time $t = 5.0\,\text{s}$ is $280\,\text{N}$. For the horizontal motion, calculate the force $R$ due to air resistance acting on P in the horizontal direction.