10. A 5 kg mass moving at 6 ms-1 makes a head-on collision with a 4 kg mass travelling at 3 m/s. Assuming that there are no external forces acting on the system, what are the velocities of the two masses after impact? (assume coefficient of restitution e = 0.5 ) %3D
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- 25. Suppose a cart with mass m and low-friction wheels is moving to the right at an initial speed of v just before it hits a cart with mass 2m. After the collision, the first cart rebounds to the left with a speed of Assume each cart receives zero net momentum from any external interactions (such as gravitational and contact interactions) other than their collision interaction. (a) What impulses did the collision interaction deliver to each cart? Express the impulses' directions as "left" or "right" and their magnitudes as multiples of m right ward or e tward lett war The impulse delivered to the light cart is mvo(Click to select) vol (Click to select) . htunrd or The impulse delivered to the massive cart is m|vo (b) From this, Infer the massive cart's final velocity v (express its magnitude in terms of o and its direction as being "left" or "right"). nighturrd or leftward The massive cart's velocity is oll(Click to select) Hints Hint H16. Two smooth disks A and B (masses 0.8 and 0.6 kg, respectively) move with velocities as pictured and collide in such a way that the coefficient of restitution is 0.75. Determine the velocities of each disk just after the collision. B (VB)1 = 4 m/s (VA)1 = 6 m/s A -XA 3kg mass with an initial velocity of (6)m/ collides with and sticks to a Skg mass with an initial velocity of(-2)m/s. The final velocity (in /s) of the composite mass is Select one: 4.5î –0.53 a. b. 2.25i –1.253 Sî – 0.33} C. 2î –1.5ĵ d.
- 1). A 2500 kg asteroid is traveling through empty space at 340 m/s. The asteroid explodes into two pieces. The 1900 kg piece continues in the same direction at 570 m/s. What is the velocity of the 600 kg piece (both magnitude and direction)? 2.) What is the change in kinetic energy for the system?3 - A bomb of mass M with initial velocity vo and suddenly explodes to two fragments of mass M/3 and 2M/3 as shown in the figure. The explosion was not elastic and the gain in the energy equals Q = -SMvz. Find the velocities of the two fragments after the explosion. [Assume that vo, vị and vz all on the same axis] (1.5) V2 2M M4. Two objects travel directly toward each other. Mass 1 = 5.00 kg and has an initial velocity of 5.00 m/s i. Mass 2 = 3.00 kg and has an initial velocity of -1.50 m/s i. a) If the two objects collide inelastically and Mass 2 has a final speed of 3.50 m/s i, what is the final velocity Mass 1? b) What is the change in kinetic energy regarding the collision?
- 1) a) Mass m1 = 0.25 kg is moving with a velocity Vr = 10 m/s and collides with mass m2 = l kg whichis at rest. After the collision, the mass m1 moves in the opposite direction with a velocity v1' = -4 m/s. What is the velocity v2', of the mass m2 subsequent to the collision?b) What is the total kinetic energy prior to the collision? What is the total kinetic energy subsequent to the collision? How much heat was generated in the collision process?1a. what are the impulses of the following exterior forces during the thrust stage if the average mass if the system (rocket + engine) is 0.040 kg Gravity: Igravity = Drag: Idrag = 1b. what is the total impulse, Itotal, during the thrust stage6. A watermelon explodes into three equal masses. One mass moves east at 15.0 m/s. If a second mass moves at a velocity of 10.0 m/s 45.0° S of E, what is the velocity of the third mass? (Hint: the total momentum is zero, so how will your vector arrows add up?)
- 4. A rocket accelerates by burning its onboard fuel, so that its mass decreases with time.Suppose that the initial mass of the rocket at liftoff (including its fuel) is m, the fuel isconsumed at rate r, and the exhaust gases are ejected with constant velocity ν (relativeto the rocket). A model for the velocity of the rocket at time t is given by the equationv(t) = −ν ln(1 −Rt) −gt,where g is the acceleration due to gravity, R = r/m, and t is not too large.(a) Find an expression for the acceleration, a(t) = v′(t), of the rocket at any time t.(b) Find an expression for the position of the height, h(t), of the rocket at any timet. You can assume that at t = 0, the rocket hasn’t left the ground. Hint: re-member that ν,R,g are all constants and t is the independent variable.Write out your steps carefully!(c) Let g = 9.8 m/s2, R = 0.005 s−1. What does the velocity of the exhaust gases,ν, need to be for the rocket to reach a height of 6000 m one minute after liftoff?You can round to the…160 v2=4127- 2. Determine the final velocity of the masses below if they experience an inelastic collision. Pay careful attention to which direction they are traveling! V= 12MIs m: 18 kg V=12m/sN:55)