Determine the mass of an African elephant if, while moving at 40 km / h, it has the same momentum
Determine the mass of an African elephant if, while moving at 40 km / h, it has the same momentum as a 6 ton whale moving at 27 km / h.
Since the momentum of the elephant is equal to the momentum of the whale, we can already find the momentum of the whale, since we already know everything that is needed for the formula for finding the momentum:) Namely, p (momentum) = m (mass) * v (speed). first we translate tons into kilograms, since 1 ton is equal to 1000 kg, then 6t = 6000 kg. And we must not forget to convert km / h to m / s. For this, we multiply 27 by 1000 and divide by 3600, we get 7.5 m / s
Now let’s find the impulse of the whale 🙂
6000kg * 7.5m / s = 45000kg * m / s
The same must be done with an elephant speed of 40 km / h = 40 * 1000: 3600 = 11.1 m / s
It remains to find the mass of the elephant: m = p / v
m = 45000: 11.1 = 4054kg = 4t 54kg
Answer: 4054kg = 4t 54kg