The cart together with the person moves at a speed of 2m / s. At what speed the cart will move
The cart together with the person moves at a speed of 2m / s. At what speed the cart will move after the person jumps in the horizontal direction at a speed of 2m / s in the opposite direction of the cart. The cart weighs 120kg, the person weighs 80kg
To determine the desired trolley speed, we use the impulse conservation law: mh * Vh – mt * Vt = V * (mt + mh), whence we express: Vt = (mh * Vh + V * (mt + mh)) / mt.
Variables: mh – human weight (mh = 80 kg); Vh – the speed of a person’s jump (Vh = 2 m / s); V is the speed of the cart before a person jump (V = 2 m / s); mt is the mass of the cart (mt = 120 kg).
Calculation: Vt = (80 * 2 + 2 * (120 + 80)) / 120 = 4.67 m / s.
Answer: After a person has jumped, the cart will continue to move at a speed of 4.67 m / s.