High School

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A boat floats south on the Amazon River at a speed of 6 m/s south. The boat and passengers have a combined mass of 540 kg.

a. What is the momentum of the boat?

b. A passenger drags his hand in the water, applying an impulse of 3200 kg·m/s to the north. What is the new velocity of the boat?

Answer :

A. The momentum of the boat, given the data is 3240 Kg.m/s

B. The new velocity of the boat is 11.93 m/s

What is momentum?

Momentum is defined as the product of mass and velocity. It is expressed as

Momentum = mass × velocity

What is impulse?

This is defined as the change in momentum of an object.

Impulse = change in momentum

Impulse = final moment – Initial momentum

Imulpse = m(v - u)

How to determine the momentum

  • Mass = 540 Kg
  • velocity = 6 m/s
  • Momentum = ?

Momentum = mass × velocity

Momentum = 540 × 6

Momentum = 3240 Kg.m/s

How to determine the new velocity

  • Mass = 540 Kg
  • Initial velocity = 6 m/s
  • Impulse = 3200 kg·m/s
  • Final velocity =?

Imulpse = m(v - u)

3200 = 540 × (v - 6)

Divide both sides by 540

v - 6 = 3200 / 540

v - 6 = 5.93

Collect like terms

v = 5.93 + 6

v = 11.93 m/s

Learn more about momentum:

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