physics

posted by .

A 300kg motorboat is turned off as it approaches a dock and it coasts in toward the dock at .5 m/s. Isaac, whose mass is 62kg, jumps off the front of the boat with a speed of 3m/s relative to the boat. what is the velocity of the boat after Isaac jumps?

  • physics -

    The combined momentum of motorboat and Isaac remains the same. Choose a coordinate system based on land. The momentum conservation equation can then be written

    0.5 m/s*(Mb + Mi) = Mb*Vb + Mi*(Vi+0.5)

    Solve for the unknown velocity of the boat afterwards, Vb.

    0.5*362 = 300 Vb + 62*3.5
    300 Vb = 181 - 217 = -36
    Vb = -0.12 m/s (backwards)

  • physics -

    boat is m1 = 300 kg
    Isaac is m2 = 62 kg
    towards dock is +
    away from dock is -
    original velocity of both is
    v = +0.50 m/s
    v2' = final velocity of Isaac
    v1' = final velocity of boat
    v2'-v1' = +3.0 m/s (because Isaac jumps off the front of the boat & is moving toward the dock; this will make v2' positive and v1' negative.
    (m1+m2)v = m1v1' + m2v2'
    v1' = 0.014 m/s away from the dock (boat) and v2' - 2.986 m/s towards the dock (Isaac)

  • physics -

    boat is m1 = 300 kg
    Isaac is m2 = 62 kg
    towards dock is +
    away from dock is -
    original velocity of both is
    v = +0.50 m/s
    v2' = final velocity of Isaac
    v1' = final velocity of boat
    v2'-v1' = +3.0 m/s (because Isaac jumps off the front of the boat & is moving toward the dock; this will make v2' positive and v1' negative.
    (m1+m2)v = m1v1' + m2v2'
    v1' = 0.014 m/s away from the dock (boat) and v2' = 2.986 m/s towards the dock (Isaac)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A speed boat at rest begins to move in a straight line from a dock. The boat has a constant acceleration of +3.0 m/s squared. Attached to the dock is a siren that is producing a 755 Hz tone. If the air temperature is 20 degrees C, …
  2. physics

    A 300kg motorboat is turned off as it approaches a dock and it coasts in toward the dock at .5 m/s. Isaac, whose mass is 62kg, jumps off the front of the boat with a speed of 3m/s relative to the boat. what is the velocity of the boat …
  3. physics

    A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 1.0 s after leaving the dock has a magnitude of 12.8 m. What is the car's speed at the instant it drives off the edge …
  4. physics

    A child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The child is 0.6 km from the shore and 2.5 km upstream from the dock. A rescue boat with speed 24.8 km/hr (with respect …
  5. physicsssss

    A child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The child is 0.6 km from the shore and 2.5 km upstream from the dock. A rescue boat with speed 24.8 km/hr (with respect …
  6. physics

    A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 0.58 s after leaving the dock has a magnitude of 7.1 m. What is the car's speed at the instant it drives off the edge …
  7. Physics

    A child operating a radio-controlled model car on a dock accidentally steers it off the edge. The car's displacement 0.95 s after leaving the dock has a magnitude of 6.7 m. What is the car's speed at the instant it drives off the edge …
  8. Calculus Practice Problems

    A boat is pulled into a dock by a rope attached to the bow (front end) of the boat and passing through a pulley on the dock that is 4 m higher than the bow of the boat. If the rope is pulled in at a rate of 3 m/s, at what speed is …
  9. Physics

    A dog sits on the left end of a boat of length L that is initially adjacent to a dock to its right. The dog then runs toward the dock, but stops at the end of the boat. If the boat is H times heavier than the dog, how close does the …
  10. AP Physics

    A 70 kg man stands at the back of a 3.0 meter long boat that has mass 2X kg. The front of the boat is touching a dock. The man walks to the front of the boat. How far from the dock is he?

More Similar Questions