Answer:
(a). The magnitude and direction of the velocity of the otters after collision is 1.35 m/s toward left.
(b). The mechanical energy dissipates during this play is 226.98 J.
Explanation:
Given that,
Mass of one otter = 8.50 kg
Speed = 6.00 m/s
Mass of other = 5.75 kg
Speed = 5.50 m/s
(a). We need to calculate the magnitude and direction of the velocity of these free-spirited otters right after they collide
Using conservation of momentum
Put the value into the formula
Negative sign shows the direction of motion of the object after collision is toward left.
(b). We need to calculate the initial kinetic energy
Using formula of kinetic energy
Put the value into the formula
We need to calculate the final kinetic energy
Using formula of kinetic energy
Put the value into the formula
We need to calculate the mechanical energy dissipates during this play
Using formula of loss of mechanical energy
Put the value into the formula
Negative sign shows the loss of mechanical energy
Hence, (a). The magnitude and direction of the velocity of the otters after collision is 1.35 m/s toward left.
(b). The mechanical energy dissipates during this play is 226.98 J.