Matt's Momentum After Jumping from Skateboard

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In summary, using conservation of momentum, we can find that Matt is gliding at 4.49 m/s when his feet hit the ground after jumping off his skateboard at 4.00 m/s and kicking it forward at 8.00 m/s. This is determined by setting the final momentum equal to the initial momentum and solving for the final velocity.
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Matt is gliding on his skateboard at 4.00 m/s. He suddenly jumps backward off the skateboard, kicking the skateboard forward at 8.00 m/s. Matt's mass is 50 kg and the skateboard's mass is 7 kg. How fast is Matt going as his feet hit the ground?

I have no idea where to begin. Should I first find the change in momentum?
 
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All you have to do is use conservation of momentum:

[tex]p_{final} = p_{initial}[/tex]
 
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Is this right

BLaH! said:
All you have to do is use conservation of momentum:

[tex]p_{final} = p_{initial}[/tex]

v_f(50kg + 7kg) = 50kg*4m/s + 7kg*4m/s
v_f = 4.49m/s ?
 

FAQ: Matt's Momentum After Jumping from Skateboard

1. What is "Matt's Momentum"?

"Matt's Momentum" refers to the amount of movement or velocity that Matt possesses after jumping from his skateboard.

2. How is Matt's momentum calculated?

Matt's momentum can be calculated using the formula p = m x v, where p is momentum, m is mass, and v is velocity. In this case, Matt's momentum would be influenced by his mass and the speed at which he jumps off the skateboard.

3. Does Matt's momentum change after jumping from his skateboard?

Yes, Matt's momentum will change after jumping from his skateboard. This is because momentum is a vector quantity that takes into account both mass and velocity, and both of these variables change when he jumps off the skateboard.

4. What factors affect Matt's momentum after jumping from his skateboard?

There are several factors that can affect Matt's momentum after jumping from his skateboard. These include his mass, the speed at which he jumps off the skateboard, the angle at which he jumps, and any external forces acting on him during the jump.

5. How does Matt's momentum after jumping from his skateboard affect his landing?

Matt's momentum after jumping from his skateboard will affect his landing. The higher his momentum, the further he will travel after jumping, and the harder he will hit the ground when he lands. This is why it is important for Matt to consider his momentum and landing technique when performing jumps on his skateboard.

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