A block on a rough, horizontal surface is attached to a horizontal spring of negligible mass. The other end of the spring is att
ached to a wall. The spring is
compressed such that the block is located at position X. When the block-spring system is released, the block travels to the right through position Y and
continues to travel to the right through position Z. Free body diagrams for the block at positions X, Y, and Z are shown in the figure. At which position does the
block have the greatest kinetic energy?
A
х
B
Y
Z
The answer cannot be determined without knowing the exact speed of the block at each position.
compressed such that the block is located at position X. When the block-spring system is released, the block travels to the right through position Y and
continues to travel to the right through position Z. Free body diagrams for the block at positions X, Y, and Z are shown in the figure. At which position does the
block have the greatest kinetic energy?
A
х
B
Y
Z
The answer cannot be determined without knowing the exact speed of the block at each position.
1 answer:
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The final combined velocity after the collision is 20.2 m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in fact, in absence of external forces, the total momentum of the two car and of the truck must be conserved before and after the collision.
This means that we can write the following equation:
where:
is the mass of the sport car
is the initial velocity of the car (taking its direction as positive direction)
is the mass of the truck
is the initial velocity of the truck
is the final combined velocity of the car and the truck, after the collision
Re-arranging the equation and substituting the values, we find the velocity after the collision:
And the positive sign indicates their final direction is the same as the initial direction of the two vehicles.
Learn more about momentum here:
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