How do you find the initial velocity of a ballistic pendulum?
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How do you find the initial velocity of a ballistic pendulum?
By measuring the horizontal distance (range) of the projectile, you can determine its initial velocity. This gives you an independent check on the velocity V0 with which the ball is fired by the cannon. 6. The range is given by x = v0 t where V0 is the initial velocity of the ball and t is the time of flight.
What is the formula for the ballistic pendulum?
Timing the swing of the pendulum (with ball) gives a period of about 1.08 s. Rearranging this gives I = (T2MgR/4π2). Rearranging our equation for conservation of energy gives ω = √(2Mgh/I). Substituting this into our equation for conservation of momentum, then simplifying, gives v = (MgT/πmL)√(Rh/2).
Is the collision between the ballistic pendulum and the projectile ball elastic or inelastic Why?
inelastic
In the case of the ballistic pendulum, the collision is inelastic because the bullet is embedded in the block.
What is the initial velocity formula?
Initial Velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts….∴ (Initial velocity) u = 20 ms-1.
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Is a ballistic pendulum elastic or inelastic?
inelastic collision
This is an inelastic collision, in contrast to an elastic collision where energy is conserved.
Is the projectile pendulum collision elastic?
An inelastic collision in a ballistic pendulum. Another example of an inelastic collision is dropped ball of clay. A dropped ball of clay doesn’t rebound. Instead it loses kinetic energy through deformation when it hits the ground and changes shape.
How is momentum conserved in a ballistic pendulum?
While not all of the energy from the bullet is transformed into kinetic energy for the pendulum (some is used as heat and deformation energy) , the momentum of the system is conserved. By measuring the height of the pendulum’s swing, the potential energy of the pendulum when it stops can be measured.
How do you find final and initial velocity?
How do you find final velocity?
- Work out which of the displacement (S), initial velocity (U), acceleration (A) and time (T) you have to solve for final velocity (V).
- If you have U, A and T, use V = U + AT.
- If you have S, U and T, use V = 2(S/T) – U.
- If you have S, A and T, use V = (S/T) + (AT/2).
What is initial velocity?
Initial Velocity is the velocity at time interval t = 0 and it is represented by u. It is the velocity at which the motion starts. They are four initial velocity formulas: (1) If time, acceleration and final velocity are provided, the initial velocity is articulated as. u = v – at.
