Momentum Qs: Find Girl & Skateboard Velocity After Jump

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In summary, a girl of mass 48kg runs towards a 2.0kg skateboard at a velocity of 4.0m/s to the right. After landing on the skateboard, she and the skateboard both have a velocity of 3.84m/s.
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crosbykins
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Homework Statement


A girl of mass 48kg runs toward her sationary 2.0kg skateboard and jumps on. The horizontal velocity of the girl just before she makes contact with the skateboard is 4.0m/s to the right. Disregard the effects of friction.
a)Determine the velocity of the girl after she has landed on the skateboard.
b)The girl then travels at this speed for a short time before jumping off, still traveling at the same speed as the skateboard. What is the velocity of the skateboard after she jumps off.


Homework Equations



p0=pf
(m1)(v01) + (m2)(v01) = (m1)(vf1) + (m2)(vf2)

The Attempt at a Solution


ok for b:
48kg * 4.0m/s = 50kg(v2)----> is this ok to consider skateboard and girl one
v2 =3.84m/s

ok for c) since she jumps off and has the same velocity, that means the skateboard will also have the same velocity
 
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  • #2
crosbykins said:
48kg * 4.0m/s = 50kg(v2)----> is this ok to consider skateboard and girl one
v2 =3.84m/s
It's ok to to consider girl and skateboard as one if they have the same velocity, wich
they have. The answer is correct
ok for c) since she jumps off and has the same velocity, that means the skateboard will also have the same velocity
[/QUOTE]
This is OK as well.
 

1. What is momentum?

Momentum is a property of a moving object that represents the quantity of motion it possesses. It is defined as the product of an object's mass and velocity.

2. How do you calculate momentum?

Momentum can be calculated by multiplying an object's mass (m) by its velocity (v). The formula for momentum is p = mv.

3. What is the relationship between momentum and velocity?

The momentum of an object is directly proportional to its velocity. This means that as an object's velocity increases, its momentum also increases.

4. Can momentum be negative?

Yes, momentum can be negative. This occurs when an object is moving in the opposite direction of its positive momentum, such as when it is slowing down or moving in the opposite direction of a chosen reference point.

5. How can I find the velocity of a girl and skateboard after a jump?

To find the velocity of a girl and skateboard after a jump, you will need to know the mass and velocity of each object before the jump, as well as the total momentum of the system before and after the jump. Using the conservation of momentum principle, you can then solve for the velocity of the girl and skateboard after the jump.

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