Calculate Matt's Landing Speed on a Skateboard | Mass & Velocity Included"

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In summary, Matt, with a mass of 50 kg, is initially gliding on his skateboard at a speed of 4.00 m/s. He then jumps backward off the skateboard, causing it to move forward at a speed of 8.00 m/s. The combined momentum of Matt and the skateboard remains the same before and after the jump. Using the conservation of momentum equation, the final velocity of Matt as he hits the ground is calculated to be 3.44 m/s.
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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?

This what I did:
P_f = P_i

v_f(50kg + 7kg) = 50kg*4m/s + 7kg*4m/s
v_f = 4.49m/s ?
 
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Hmmm, not sure what you did.
The initial momentum you calculated looks correct: (50+7)*4. But the total final momentum is Vf*50+7*8, where vf is the speed of Matt. Solving for Vf, I get 3.44 m/s. I'm probably wrong though.
 

Related to Calculate Matt's Landing Speed on a Skateboard | Mass & Velocity Included"

1. What is the formula for calculating Matt's landing speed on a skateboard?

The formula for calculating landing speed is landing speed = initial velocity + (mass x gravitational acceleration x time) / mass.

2. How do you determine the mass and velocity of Matt's skateboard?

The mass of the skateboard can be determined by weighing it on a scale, while the velocity can be measured using a speed sensor or by timing how long it takes to travel a known distance.

3. Can the landing speed be calculated using different units of measurement?

Yes, as long as the units are consistent throughout the formula, the landing speed can be calculated using any unit of measurement for mass, velocity, time, and gravitational acceleration.

4. How does the mass and velocity of the skateboard affect Matt's landing speed?

The higher the mass and velocity of the skateboard, the greater the landing speed will be. This is because the skateboard will have more energy and momentum, leading to a faster landing speed.

5. Is there a maximum landing speed for Matt's skateboard?

Yes, there is a maximum landing speed which is determined by the mass and velocity of the skateboard, as well as external factors such as friction and air resistance. It is important to consider safety and control when determining a safe maximum landing speed.

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