Fred (mass ) is running with the football at a speed of when he is met head-on by Brutus (mass ), who is moving at . Brutus grabs Fred in a tight grip, and they fall to the ground. Which way do they slide, and how far? The coefficient of kinetic friction between football uniforms and Astroturf is .
They slide distance in the direction of Brutus motion.
We have given,
Fred mass =
Fred speed =
Brutus mass =
coefficient of kinetic friction =
We have to find how far they slide and which way.
In an Collison the momentum will be always conserved. then,
Where the momentum is given by,
This positive sign is indicates that the motion will be in BRUTUS side.
Now we have to find the distance of slide.
The force after Collison will be equal to the force of friction.
Then using the equation of kinematics.
You are part of a search-and-rescue mission that has been called out to look for a lost explorer. You’ve found the missing explorer, but, as FIGURE P11.50 shows, you’re separated from him by a -high cliff and a -wide-raging river. To save his life, you need to get a 5.0 kg package of emergency supplies across the river. Unfortunately, you can’t throw the package hard enough to make it across. Fortunately, you happen to have a 1.0 kg rocket intended for launching flares. Improvising quickly, you attach a sharpened stick to the front of the rocket so that it will impale itself into the package of supplies, then fire the rocket at ground level toward the supplies. What minimum speed must the rocket have just before impact in order to save the explorer’s life?
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