Calculating the Boat's Velocity After a Simultaneous Dive: Momentum Conservation

In summary, a 40 kg child and her 75 kg father dive simultaneously from a 100 kg boat at rest. The child moves east with a speed of 2m/s and the father moves south at an angle of 37 degrees above the horizontal with a speed of 1.5m/s. After the dive, the resultant velocity of the boat on the horizontal plane is 0, as momentum is conserved in this collision.
  • #1
honkon
2
0

Homework Statement


A 40 kg child and her 75 kg father simultaneously dive from a 100 kg boat that is initially motionless. The child dives horizontally toward the east with a speed of 2m/s, and the father dives toward the south with a speed of 1.5m/s at an angle of 37degrees above the horizontal. Determine the magnitude and direction of the velocity of the boat along th mater's surface immediately after their dives.

I have no idea about the question, please help! thanks
 
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  • #2
Take the component of the man's momentum on the horizontal plane. Now the man's momentum and the child's momentum are perpendicular to each other. According to conservation of momentum the resultant of these two momentum should be the momentum of the boat.
 
  • #3
it's a collision so momentum is conserved, and initial speed of the whole system is 0. This is like a grenade exploding, the kinetic energy of the system should increase but the momentum is conserved.
Add the vectors together and you should get 0, since the original momentum was 0.
 

Related to Calculating the Boat's Velocity After a Simultaneous Dive: Momentum Conservation

1. What is momentum boat?

Momentum boat, also known as Newton's third law boat, is a simple science experiment that demonstrates the concept of momentum and Newton's third law of motion.

2. How do you make a momentum boat?

To make a momentum boat, you will need a small plastic bottle, a straw, a balloon, and some tape. Cut a small slit in the middle of the bottle and insert the straw through it. Tape the balloon to the back of the bottle and blow it up. When you release the air from the balloon, it will propel the boat forward.

3. What is the principle behind the momentum boat?

The momentum boat works on the principle of Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. When the air rushes out of the balloon, it creates a force in one direction, causing the boat to move in the opposite direction.

4. What factors affect the momentum boat's speed?

The speed of the momentum boat can be affected by various factors such as the size and shape of the bottle, the amount of air in the balloon, and the surface of the water. A larger bottle or a more inflated balloon will result in a faster boat.

5. What other experiments can be done to explore the concept of momentum?

There are many other experiments that can be done to explore the concept of momentum, such as the egg drop experiment, the rolling ball experiment, and the pendulum experiment. These experiments can help to further understand the principles of momentum and its applications in real-life situations.

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