The driver of a car weighing 800 kg starts moving from a 5 m high slide and rolls freely from it without

The driver of a car weighing 800 kg starts moving from a 5 m high slide and rolls freely from it without pressing the brake. What is the magnitude of the impulse that the car will acquire when entering a horizontal road?

Potential energy W of a car of mass m at height h:

W = mgh, where g is the acceleration due to gravity.

With free rolling, the potential energy will turn into kinetic energy:

E = mv² / 2;

According to the law of conservation of energy:

W = E;

mgh = mv² / 2

v² / 2 = gh;

v² = 2gh;

v = √ (2gh)

p = mv = m * √ (2gh) = 800 kg * √ (2 * 10 m / s² * 5 m) = 8000 kg * m / s.

Answer: 8000 kg * m / s.