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Momentum and Projectile Question. PLEASE HELP!?
A 1.25kg block of wood sits at the edge of a table 0.752m above the floor. A 10.5g bullet moving horizontally with a speed of 725m/s hits the block and embeds itself within the block. How far from the edge of the table does the block and bullet land?
2 Answers
- Andrew SmithLv 73 years ago
All these problems ever are is a series of several simple steps.
1. Use conservation of momentum to find the velocity after the collision. ( mv1 = (M+m) v2 )
2. Use the vertical motion to find the time in the air ( h = 1/2 g t^2)
3. Use s = vt to find the distance moved in this time.
- electron1Lv 73 years ago
Initial momentum = 0.0105 * 725 = 7.6125
This is momentum after the collision.
Total mass = 0.0105 + 1.25 = 1.2605 kg
1.2605 * v = 7.6125
v = 7.6125 ÷ 1.2605
The horizontal velocity after the collision is approximately 6.04 m/s. To determine the horizontal distance its moves as it falls 0.752 meter, we need to determine the time for the fall. Let’s use the following equation.
d = vi * t + ½ * g * t^2, vi 0
0.752 = ½ * 9.8 * t^2
t = √(0.752 ÷ 4.9)
The time is approximately 0.39 second.
d = (7.6125 ÷ 1.2605) * √(0.752 ÷ 4.9)
This is approximately 2.37 meters.