A ball impinges direcly upon another ball at reu and is itself reduced to rest b y the impact. If half of the initial kinetic energy is destroyed in the collision, find the coefficient of restitution.
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- An alpha particle (4He) undergoes an elastic collision with a stationary uranium nucleus (235U) . What percent of the kinetic energy of the alpha particle is transferred to the uranium nucleus? Assume the collision is one- dimensional.Question 3. An ubject of initial speed f, mass m,=4kg is mouinpon a straipht dine with 4m/s alone +x-direction on a frichion loss surface. Itmakes an elasticl cüllision with odject with mass m=8k which was stationary befone the collision. The object with mass Connected to a sprine with k=100 Nm and other end of sprinéi's connected to a verfical wall. The spring was at its rest leneth is before collision. there i's a = 0.2 and and the spring friction under mass m. with Mx=O Maman o. 8. After the collisio n, mass compresses the spring un fil it stops momentarily at x=Xmax· a) Find the velocity, is and J, of the masses ripht affer collision? bl How much is the spoing compressed 6y mz before it stops mo mentarily? c) Can the mass mz moue backward afler it stops momentarily at the compressionof the sprinp?. Prove your unswer to get "Jull maximum full credit.Simple anstmer ás YES credit. or NO dees not give ine you Xmax, Mz eeele Msmax=0.8with Yelocity with velocity TWo 2kg mz = Ikg toy robots , one of mass m, = V, = Ims- and another -Ims! of mass moving towards each o ther along With each other. are co llided Same straigt line and The setistor the is é collision be tween them Completely inelastic. of the a. whad is the velocity of the Center of mass System befor the Collision P (Hint: Two tog robots constitute a system). b. what are the Vicom and Vz Com of the Centre- of - mass velo Cities two ro bots in the frame before the Collision ? C. whad fraction of the initial kinetic the labo ratory frame is 1ost during the enetgy in Co llision p
- Two identical particles of mass m approach each otherat equal and opposite speeds, v. The collision is completelyinelastic and results in a single particle at rest. What is themass of the new particle? How much energy was lost in thecollision? How much kinetic energy was lost in this collision?Two steel balls of the same mass m moving in oppo- site directions with the same speed u collide head-on. If the collision is perfectly elastic, predict the result of the collision.In a nuclear reactor, neutrons released bynuclear fission must be slowed down before they can trigger additional reactions in other nuclei. To see what sort of material is mosteffective in slowing (or moderating) a neutron, calculate the ratio ofa neutron’s final kinetic energy to its initial kinetic energy, Kf>Ki, fora head-on elastic collision with each of the following stationary target particles. (Note: The mass of a neutron is m = 1.009 u, where theatomic mass unit, u, is defined as follows: 1 u = 1.66 * 10-27 kg.2(a) An electron 1M = 5.49 * 10-4u2. (b) A proton 1M = 1.007 u2.(c) The nucleus of a lead atom 1M = 207.2 u2.
- In this problem, the distance units are meters and the time units are sec- onds. Consider two particles p and q in 2-D or 3-D space, with respective masses n kg and m kg, that approach cach other, collide elastically, and then bounce off. Suppose is the initial constant velocity of p, and is the initial velocity of q (see the "Before Collision" picture below). After the collision, p and q have constant velocities of uƒ ‡ ♂ and vƒ ‡ ♂, respectively (see the "After Collision" picture below). Beforedli the stepeni ullision After the collision collision point 2-D р Constant 3-D 2 • V 6 Constant) velocities (1) Calculate a formula for the radian angle 0 € [0, π] between the path of p and the path of q after the collision, in terms of the scalar quantities m, n, |||| and |||| (and only these quantities). (2) In the case where p and q have the same mass, calculate exactly.given a random scenario a proton with at0m mass 1.00 has speed of 500m/s collide with another proton at rest. and the collided elastically! the original proton went 56 degree from the initial direction 0f the travel. FIND: 1. what is the direction of the velocity of 2nd pr0ton after they collided 2. what is the final speed of the tw0 pr0tons after they collided?A 2.0-g particle moving at 8.0 m/s makes a perfectly elastichead-on collision with a resting 1.0-g object. (a) Find the speedof each particle after the collision. (b) Find the speed of eachparticle after the collision if the stationary particle has a massof 10 g. (c) Find the final kinetic energy of the incident 2.0-gparticle in the situations described in parts (a) and (b). Inwhich case does the incident particle lose more kinetic energy?
- (a) If the system's kinetic energy, as measured from the Earth reference frame, decreases by 20% because of the collision, what are the final velocities of the balls? (b) What change in internal energy has occurred? (c) An observer watches this collision from a reference frame moving at a velocity of 15 m/ s to the east relative to the Earth reference frame. What changes in kinetic energy does this observer measure?A disk , mass 10kg, itI a detonation device inside is sliding along ice heading east at 25.0m/s when it explodes suddenly and 2 separate pieces of equal masses blast away from explosion site. (Realize the rules fir explosions and collisions are same) a) find total momentum before explosion b) if one piece is moving NE (it makes a 45° angle to either east or north) after the impact of both pieces slide with same speed , in what direction must the other piece be moving ? C) find total momentum after explosionA 13 kg body moving at 33 m/s experiences a complete inelastic collision with a 2kg body moving at 55 m/s. COmpute for the final velocity after collision.
