A bullet of mass m travels with speed v towards a block that is initially 4. at rest. The bullet cuts the block into two pieces with masses m1 and m2. After the impact, the bullet continues on its original path but with a reduced speed v', while masses m1 and m2 travel with speeds vi and v2 at the angles 01 and 02. If 01 and 02 are known, find the values of vi and v2. Law 了on m1 m m Application m2 02 V2
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- A car of mass m moves with a speed of Vo. The driver suddenly sees another car, of mass 3m, sitting at rest. The driver slams on the brakes. The coefficent of kinetic friction between the car and the road is μk. a) How far away must the second car be if the first car is to stop exactly in time to avoid hitting it? b) Suppose the car is a distance of d/2 away where d is the distance you found in part (a). Find the momentum of the car as it collides with the car at rest. c) Use conservation of momentum to calculate the speeds of both cars after the collision.Question 1: A bullet of mass m hits a block of mass M on a table with velocity vo as shown in the figure below. The bullet embeds in the block. The friction coefficient between the block and the table poxez² where .2 is u = is a constant and 0An ice skater with mass = mi goes skating while carrying a bag of sand with initial mass = m0 . At one point, she gives herself a constant initial velocity v0 , and then slowly pours the sand out of the bag at a constant rate κ. Is she speeding up or slowing down? Write out an expression for the velocity as a function of time. How long does it take for her velocity to change by a factor of 2? Your answer can include mi, m0, v0, and κ.Two bricks, each of mass M, head directly toward each other on a frictionless surface and collide, as shown. Brick A has twice the speed as brick B. Which one of the following statements is true regarding the forces the objects exert on each other during the collision? 2v – A В The magnitude of the force that A exerts on B is four times smaller than the magnitude of the force that B exerts on A. The magnitude of the force that A exerts on B is two times smaller than the magnitude of the force that B exerts on A. The magnitude of the force that A exerts on B is equal to the magnitude of the force that B exerts on A. O The magnitude of the force that A exerts on B is twice as large as the magnitude of the force that B exerts on A. The magnitude of the force that A exerts on B is four times as large as the magnitude of the force that B exerts on A.d and eEnter an expression for the initial acceleration of the rocket as it lifts vertically off of the ground with a mass m, assuming that it burns fuel at a rate R (kg/s) and shoots the resulting exhaust downward at speed vex. a = - Vex/m (m/R )| α a h В d j 0 50 K g k 9 HOME (1) 7 8 ^^^ 4 5 6 1 1 2 3 SANTSuppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 3.2 × 104 kg (about 32 tons). The rocket engines are shut off, and you're coasting along with a constant velocity of km/s. As you pass the location km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of N for 23.0 s. The ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?) 7₁ = mSuppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 3.0 x 104 kg (about 30 tons). The rocket engines are shut off, and you're coasting along with velocity of km/s. As you pass the location km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of N for 18 s ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?) mA stationary 2.17-kg object is struck by a stick. The object experiences a horizontal force given by F = at - bt 2, where t is the time in seconds from the instant the stick first contacts the object. If a = 1,500,000 N/s and b = 20,000,000 N/s?, what is the speed of the object just after it comes away from the stick at t = 2.55 x 103 s? %3DThanks!Since a net force is equal to mass times acceleration, and a net force is also equal to the rate of change of momentum, then the rate of change of momentum must equal mass times acceleration. True False Consider a system of 2 objects, A and B. If the rate of change of momentum of the entire system (A and B together) is zero then The total momentum of the system must be zero. The total momentum of the system must be constant. The momentum of A must be constant, and the momentum of B must be constant. The total momentum of the system is conserved. the momentum of A must be zero, and the momentum of B must be zero. You don't have enough information to determine the momentum of A or the momentum of B.helpSEE MORE QUESTIONS