Question

A car of mass 1100 Kg drives with a velocity such that it
has a kinetic energy of 400 kJ ( see the Figure). Find the
velocity. If the car is raised with a carne how high
should it be lifted in the standard gravitational field (9.81 m/s2) to have a potential energy that equals the kinetic energy?

Answer 1

Answer on Question #60553-Physics-Mechanics-Relativity

A car of mass $1100\mathrm{Kg}$ drives with a velocity such that it has a kinetic energy of $400\mathrm{kJ}$ (see the Figure). Find the velocity. If the car is raised with a carne how high should it be lifted in the standard gravitational field $(9.81\mathrm{m/s2})$ to have a potential energy that equals the kinetic energy?

Solution

$$K = \frac {m v ^ {2}}{2}$$

The velocity is

$$v = \sqrt {\frac {2 K}{m}} = \sqrt {\frac {2 \cdot 4 0 0 0 0 0}{1 1 0 0}} = 2 7 \frac {m}{s}.$$ $$m g h = K.$$ $$h = \frac {K}{m g} = \frac {4 0 0 0 0 0}{1 1 0 0 \cdot 9 . 8 1} = 3 7 m.$$

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