Please PE al Experiment 4 o jectile Motion Objects i) To determine the initial s

Question

Please PE al Experiment 4 o jectile Motion Objects i) To determine the initial speed of a projectile using the laws of conservation of energy and momentum (ii) To determine the initial speed of the projectile using the equations of linear motion Theory If an Part I object is moving in a vertical plane under the influence of gravity only then its motion is called projectile motion State the principle of conservation of linear nomentum and the principle of conservation of energy. metal The ballistic pendulum is used to measure the initial velocity of a ball bullet) fired horizontally from a spring gun The bullet is fired into a hollow pendulum bob suspended from a rod making a completely inelastic collision). The pendulum and embedded bullet are allowed to swing to the right and upward m M Before Collision After Collision A catch mechanism stops the swing at its highest position h f By measuring the vertical rise" h of the pendulum the initial velocity v of the bullet can be determined using the principles conservation of linear momentum and of energy any rotational motion is neglected in a simple analysis

Explanation / Answer

Answer:-

Principle of conservation of linear moemntum.

Principle of conservation of linear momentum state that if there is no external on the given two coliding bodies then the vector sum of each body will be same and constant. there will be no affection due to their internal mutual interaction.

here we conisder the p1 is the linear momentum of rest body and p2 is the linear momentum of moving body.

p1= mo*vo

p2=m1*v1

p1= p2

mo*vo =m1*v1

now we will discuss about the principle of conservation of energy

Principle of conservation of energy state that the energy of two body after collision will not be change. will be remain constant at any instant. hence sum of Kinetic energy, gravitational potential energy and elastic-spring-potential energy will be same for body at rest and body in motion.

K.Eo+Ug0+Us0 = K.E1+Ug1+Us1

we can write the eqaution in form of mass and velocity

1/2 m0*v02 +m0gh0+1/2 k0*xo2 = 1/2 m1*v12 +m1gh1+1/2 k1*x12

now we will write the equation for our given condition.

Equation for principle of conservation of linear momentum

mo*vo =mf*vf

Equation for principle of conservation of energy

1/2 m0*v02 +m0gh0+1/2 k0*xo2 = 1/2 mf*vf2 +mfghf+1/2 kf*xf2

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