High School

We appreciate your visit to b A bottlenose dolphin has a mass of 215 kg and can swim with a velocity of 23 km h What is the dolphin s. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

b. A bottlenose dolphin has a mass of 215 kg and can swim with a velocity of 23 km/h. What is the dolphin's kinetic energy?

c. If the dolphin swims straight up out of the water with a velocity of 23 km/h, how high will it fly out of the water?

Answer :

Final answer:

The kinetic energy of a 215 kg bottlenose dolphin swimming at 23 km/h is approximately 4384.3 Joules. When jumping out of the water, the dolphin can reach a height of about 2.0 meters. This calculation showcases the relationship between velocity, mass, and energy in motion.


Explanation:

Kinetic Energy of a Bottlenose Dolphin

The kinetic energy (KE) of an object can be calculated using the formula: KE = (1/2)mv², where m is the mass of the object and v is its velocity.

Part b: Calculate the Kinetic Energy

Given:

  • Mass of the bottlenose dolphin, m = 215 kg
  • Velocity of the dolphin, v = 23 km/h (which we need to convert to meters per second)

To convert km/h to m/s, use the conversion factor: 1 km/h = 1/3.6 m/s. Thus, 23 km/h = 23/3.6 ≈ 6.39 m/s.

Now, substituting the values into the kinetic energy formula:

KE = (1/2) 215 kg (6.39 m/s)²

Calculating this gives:

KE = (1/2) 215 40.83 ≈ 4384.3 J (Joules).

Part c: Height of the Dolphin's Jump

To find the maximum height the dolphin reaches when jumping out of the water, we can use the principle of conservation of energy. The kinetic energy at the moment of jumping is converted into gravitational potential energy (PE) at the peak height.

The formula for gravitational potential energy is: PE = mgh, where g ≈ 9.81 m/s² is the acceleration due to gravity and h is the height.

Setting kinetic energy equal to potential energy:

KE = PE

4384.3 J = 215 kg 9.81 m/s² h

Rearranging for h gives:

h = 4384.3 J / (215 kg * 9.81 m/s²)

Calculating this yields:

h ≈ 2.0 m

This indicates that the dolphin can fly out of the water approximately 2.0 meters high, demonstrating its impressive ability to leaping.


Learn more about Kinetic Energy here:

https://brainly.com/question/26472013


Thanks for taking the time to read b A bottlenose dolphin has a mass of 215 kg and can swim with a velocity of 23 km h What is the dolphin s. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada