Determine the final velocities Va and Vb

A 75 kg person standing on a frictionless floor fires two 100 gram bullets at 500 m/s (parallel to the ground) one right after the other out of a 3 kg gun; use conservation of momentum to calculate the recoil speed at which the person slides backwards (show all the math steps in your derivation):

Two objects of masses m1 = 2.0 kg and m2 = 1.3 kg moving towards each other with speeds of 2.2 m/s and 3.1 m/s, respectively, collide inelastically. Calculate the amount of kinetic energy lost in this collision, in joules.

A 500Kg Ford focus automobile is initially travelling at vi, focus=(60i + 20j)Km/hr when it inelastically collides with a 16.7Mg semitruck initally traveling at vi,truck=(-30i-110j)Km/hr. problems: a) what is the final velocity immediately after the inelastic collision?  b) assume that, just after the collision , the ford focus and semitruck begin to slide across the pavement due to a uniform kinetic friction with coefficient uk=0.45. how far will they slide before coming to a stop.

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Consider the two pucks shown in the figure. As they move towards each other, the momentum of each puck is equal in magnitude and opposite in direction. Given that v; oreen = 12.0 m/s, and mblue is 25.0% greater than mareen, what are the final speeds of each puck (in m/s), if - the kinetic energy of the system is converted to internal energy? 30.0 30.0 Vgreen m/s V blue m/s

Mechanic Physics: Please make sure this is right In the figure, a ball of mass m = 56 g is shot with speed vi = 23 m/s (in the negative direction of an x axis) into the barrel of a spring gun of mass M = 263 ginitially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. (a) What is the speed of the spring gun after the ball stops in the barrel? (b)What fraction of the initial kinetic energy of the ball is stored in the spring?

A railroad car of a mass m is moving at speed v when it collides with a second railroad car of mass M which is at rest. The two cars lock together instantaneously and move along the track. What is the KE of the cars immediately after the collision? (M+ m)(mv/ M? 글M+m)(Mw/m)2 (M+ m)(mv/(m+ M)?

Rock A of mass M and another rock B of mass 2M are released from a height h above the ground. Upon impact which relationship correctly states the momenta of rocks A and B?

I. With external gravitational field In this second part you are asked to analyze rocket propulsion with the present of gravitational field g. This appears for instance when the rocket is launching from the surface of a planet. (1) Describes why you are not allowed to use the momentum conservation here. (2) Evaluate the speed of the rocket measure by inertial observer on the ground as a function of time v(t) if the speed of the gas propulsion with respect to the rocket is vret and the burning rate is constant constant! dm dt (3) Plot v(t) that you obtained from point (2) above, for three different values of gravitational field (assuming similar initial mass), which is: Imoon = 1.62 m/s? • Gearth = 9.81 m/s? Ijupiter = 24.79 m/s? in a single plot, if the burn dm ate is constant = 1500 kg/s. Analyze your result and dt describes how the speed increases for each situation! 20:18 Ai 11/03/2022