A TNT explosive, initially at rest, explodes into two pieces. One of the pieces weighing flies off to the left at .What is the final speed of the remaining piece?
Question
A TNT explosive, initially at rest, explodes into two pieces. One of the pieces weighing flies off to the left at .What is the final speed of the remaining piece?
Solution
It seems like some crucial information is missing from your question, such as the weight of the TNT explosive and the weight and speed of the piece that flies off to the left.
However, I can explain how to solve this problem in general terms. This is a problem of conservation of momentum. The total momentum before the explosion is equal to the total momentum after the explosion.
Before the explosion, the TNT is at rest, so its momentum is 0.
After the explosion, the momentum is the sum of the momenta of the two pieces. The momentum of an object is its mass times its velocity.
Let's denote:
- M as the total mass of the TNT,
- m as the mass of the piece that flies off,
- v as the velocity of the piece that flies off,
- V as the velocity of the remaining piece.
We know that m*v + (M-m)*V = 0 (because the total momentum before the explosion was 0).
From this equation, we can express V (the final speed of the remaining piece) as V = -m*v / (M-m).
So, if you provide the missing values, I can calculate the final speed of the remaining piece.
Similar Questions
A 4.20 kg object, travelling at 6.70 m/s to the right, suddenly explodes into two pieces. The 1.44 kg piece moves to the right at 9.10 m/s after the explosion; What is the speed of the 2.76 kg piece?
A stationary bomb explodes into three pieces. One piece of 2 kg mass moves with a velocity of 8ms-1 at right angles to the other piece of mass 1 kg moving with a velocity of 12 ms-1. If the mass of the third piece is 0.5 kg, then its velocity is
A 100 kg mass, initially at rest, is blown apart into two 50.0 kg pieces. After the blast, the two masses are moving apart with a relative velocity of 100 m/s. The total kinetic energy after the explosion is
A firework with a mass of 1.5 kg shoots up into the air with a velocity of 25 m/s. It then explodes. Use this information to work out the total momentum of all the pieces after the firework explodes.
A 60 kg body moving with a speed of 5.0 m/s collides with a body twice its weight and moving at half its speed along the same direction. After the collision, the 60 kg body moves in the opposite direction with a speed of 2 m/s. Find the final velocity of the heavier body*1 point6 m/s60 m/s63 m/s68 m/s
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.