Check Your Understanding Suppose the initial velocities were not at right angles to each other. How would this change both the physical result and the mathematical analysis of the collision?

When two objects collide, the impulse exerted on object 1 by object 2 is equal in magnitude and opposite and direction to the impulse exerted on object 2 by object 1: I[1on2]=I[2on1](11.8) And the change in their momenta is given by: p1=p2(11.9) Which of Newtons three laws justifies these two equations?

A particle of mass m moving along the x-axis with a velocity component +u collides head-on and sticks to a particle of mass m/3 moving along the x-axis with the velocity component −u. What is the mass M of the resulting particle?

A body weighing 2 kg moves with a velocity of 3 m/s and overtakes another body weighing 3 kg moving at 1 m/s. Find the velocities of the bodies after collision if: (1) the impact is inelastic, (2) the impact is elastic. The bodies move in a straight line and the impact is central.

Under which of these conditions can you conclude with certainty that the total momentum before a collision is the same as after the collision.

(3) This problem deals with a method for measuring the muzzle velocity of a rifle. A rifle with unknown muzzle velocity vo fires a bullet with mass m into a large block of wood with mass M that is sitting on a horizontal surface. The velocity of the block right after the (inelastic) collision is v. The block then slides a distance d along the surface and comes to a stop. The coefficient of kinetic friction between the block of wood and the surface is μk. (a) Use conservation of momentum (during the collision) and the work-energy theorem (after the collision) to show that the muzzle velocity of the rifle is given by: 20 = (m + M) √2 µx8d m (b) Calculate the muzzle velocity of the rifle if m= 5.00 g. M = 1.20 kg. d = 14.6 cm, and µ = 0.56. [answer: vo = 305 m/s]

(A) (i) A trolley of mass 20 kg, moving at a speed of 2 metres per second (2m/s), The trolley collides with a stationary toy truck of mass 10 kg. State TWO possible results of this collision. (ii) Calculate the momentum of the truck if it was moving at a speed of four metres per second (4 m/s) towards the trolley. (iii) State TWO possible results of the collision between the truck moving at the speed in (a) (ii) and the trolley. (B)State the forms of energy present (i) before, (ii) during and (iii) after the trolley collides with the stationary toy truck (i)Before (ii)During (iii)After (C)The toy truck possesses gravitational potential energy. Explain where this energy comes from. Note: Only B and C

(a)(i)A trolley of mass 20 kg, moving at a speed of 2 metres per second (2m/s), The trolley collides with a stationary toy truck of mass 10 kg. State TWO possible results of this collision. (ii) Calculate the momentum of the truck if it was moving at a speed of four metres per second (4 m/s) towards the trolley. (iii) State TWO possible results of the collision between the truck moving at the speed in (a) (ii) and the trolley. (B)State the forms of energy present (i) before, (ii) during and (iii) after the trolley collides with the stationary toy truck (i)Before (ii)During (iii)After (C)The toy truck possesses gravitational potential energy. Explain where this energy comes from. Note: IT CANNOT BE POSTED SEPARATE BECAUSE YOU WOULDN'T UNDERSTAND WHAT THE OTHER QUESTIONS ARE ASKING? It's practice questions and I don't understand this part so I'm seeking help. So help me please ?!!!

Two blocks of masses m, and m, approach each other on a horizontal table with the same constant speed, vo, as measured by a laboratory observer. The blocks undergo a perfectly elastic collision, and it is observed that m, stops but m, moves opposite Its original motion with some constant speed, v. (a) Determine the ratio of the two masses, m,/m, (b) What is the ratio of their speeds, v/v?