What is the necessary mass of the red box and what is the final speed of the blue box?

AssessmentQuestion 1(1 point)Go tohttps://www.geogebra.org/m/qd8ZtEQpUsing the SimNotice there are two blocks, each with two sliders below that control the mass and velocity of each blockWhen you hit run the blocks will move and collide.The velocities BEFORE the collision are referred to as v1 and v2.The velocities AFTER the collision are referred to as v1′ and v2′.Notice that motion to the right is considered positive and motion to the left is negativeNotice there is also a slider marked “Elasticity”.Setting Elasticity to zero results in a Inelastic collision, where the boxes “hit and stick”. Momentum is ALWAYS conserved.Setting Elasticity to one results in a Perfectly Elastic collision, where the boxes “hit and bounce” with no loss of Kinetic Energy (KE is also conserved). Momentum is ALWAYS conserved.Setting Elasticity to anything between zero and one results in a collision, where the boxes hit and bounce, but there is a loss of Kinetic Energy. Momentum is ALWAYS conserved.First ExampleUse the sliders to set m1 = 1 kg, m2 = 1.5 kg, v1 = 5 m/s, and Elasticity to 1, so the boxes will “hit and bounce”Run the simulation and pause it after the collision to record the speed of the blocksQuestion 1 options:A)v1′ = + 2 m/s & v2′ = + 2 m/sB)v1′ = -1 m/s & v2′ = + 4 m/sC)v1′ = 0 m/s & v2′ = + 1.5 m/sD)v1′ = -2 m/s & v2′ = -2 m/sQuestion 2(1 point)In the first example, where initiallym1 = 1 kg, m2 = 1.5 kg, v1 = 5 m/s, v2 = 0 m/s and elasticity = 100% /”hit and bounce”Find the total momentum BEFORE the collision = p = m1 * v1 + m2 * v2Using the numbers you found for v1′ and v2′,find the total momentum AFTER the collision = p’ = m1 * v1′ + m2 * v2’What is true?Question 2 options:A)p < p'B)p = 0 and p' = 0C)p > p’D)p = p’ so momentum is conservedQuestion 3(1 point)Second ExampleHit “Reset” to run the same collision again, with m1 = 1 kg, m2 = 1.5 kg, v1 = 5 m/s,HOWEVER, change elasticity = 0% to simulate an inelastic collision, where the objects “hit and stick”Run the simulation and pause it after the collision to record the speed of the blocksQuestion 3 options:A)v1′ = + 2 m/s & v2′ = + 2 m/sB)v1′ = 0 m/s & v2′ = + 1.5 m/sC)v1′ = -2 m/s & v2′ = -2 m/sD)v1′ = -1 m/s & v2′ = + 4 m/sQuestion 4(1 point)In the second example, where initiallym1 = 1 kg, m2 = 1.5 kg, v1 = 5 m/s, v2 = 0 m/s and elasticity = 0 (“hit and stick”)Find the total momentum BEFORE the collision = p = m1 * v1 + m2 * v2Using the numbers you found for v1′ and v2′,find the total momentum AFTER the collision = p’ = m1 * v1′ + m2 * v2’What is true?Question 4 options:A)p = 0 and p’ = 0B)p > p’C)p < p'D)p = p' so momentum is conservedQuestion 5(1 point)Elastic Collisions: Stop & goIn the simulation, set:Elasticity = 1 (hit and bounce)m1 = 1 kg and v1 = 5 m/sm2 = 5 kg and v2 = 0 m/srepeatedlyincrease the mass of the red ball and run the simulation until the red box comes to a complete stop when it hits the blue What is the necessary mass of the red box and what is the final speed of the blue box?Question 5 options:A)The red box needs to have the same mass as the blue boxandthe blue box's final speed is less thanthe red box's initial speedB)The red box needs to have the same mass as the blue boxandthe blue box's final speed is the same as the red box's initial speedC)The red box needs to have the same mass as the blue boxandthe blue box's final speed is greater than the red box's initial speedD)As long as the red box hasa grestermass than the blue boxandthe blue box's final speed is the same as the red box's initial speedQuestion 6(1 point)Inelastic Collisions by hand:Two masses collide inelastically (hit & stick) where m1 = 0.5 kg, m2 = 1.5 kg, v1 = 5 m/s, v2 = 0 m/sCalculate the speeds of the boxes after the collisions by using the formulas for inelastic (hit & stick) collisions. Since both boxes are stuck together and moving the same speed v1' = v2' so we just call it v'v' = (m1 * v1 + m2 * v2) / (m1+m2)Question 6 options:A)v' = + 1.25 m/sB)v' = -1 m/sC)v' = 0 m/sD)v' = -0.5 m/sQuestion 7(1 point)Inelastic Collisions by Simulation:Use the sliders in the sim to setm1 = 0.5 kgv1 = 5 m/sm2 = 1.5 kgv2 = 0 m/selasticity = 0 (hit and stick)Calculate the speeds of the boxes after the collisions by using the formulas for inelastic (hit & stick) collisions. Since both boxes are stuck together and moving the same speed v1' = v2' so we just call it v'v' = (m1 * v1 + m2 * v2) / (m1+m2)Question 7 options:A)v' = -1 m/sB)v' = + 1.25 m/sC)v' = -0.5 m/sD)v' = 0 m/sQuestion 8(1 point)Elastic Collisions by hand:Two massescollide elastically(elasticity = 1, hit & bounce) where m1 = 0.5 kg, m2 = 1.5 kg, v1 = 5 m/s, v2 = 0 m/sSince the boxes "hit and bounce", each has its own speed and we have to calculate two speeds. Find the speeds of the boxes after the collisions by using the formulas for elastic collisionsv1' = [v1 * (m1-m2) / (m1+m2)] + [v2 * (2m2) / (m1+m2)]v2' = [v1 * (2m1) / (m1+m2)] - [v2 * (m1-m2) / (m1+m2)]Question 8 options:A)v1' = + 0.25 m/s & v2' = + 0.25 m/sB)v1' = -2.5 m/s & v2' = + 2.5 m/sC)v1' = -1 m/s & v2' = + 1 m/sD)v1' = 0 m/s & v2' = + 1.5 m/sQuestion 9(1 point)Elastic Collisions by Simulation:Use the sliders to setelasticity = 1, hit & bouncem1 = 0.5 kgv1 = 5 m/sm2 = 1.5 kgv2 = 0 m/sRun the sim and find the speeds of the boxes after the collisionsQuestion 9 options:A)v1' = -2.5 m/s & v2' = + 2.5 m/sB)v1' = -1 m/s & v2' = + 1 m/sC)v1' = + 0.25 m/s & v2' = + 0.25 m/sD)v1' = 0 m/s & v2' = + 1.5 m/sQuestion 10(1 point)Opposite Direction Elastic Collisions by hand:Two massescollide elastically(elasticity = 1, hit & bounce) where m1 = 2 kg, m2 = 3 kg, v1 = 5 m/s, v2 = -3 m/s (remember negative velocity means "to the left")Since the boxes "hit and bounce", each has its own speed and we have to calculate two speeds. Find the speeds of the boxes after the collisions by using the formulas for elastic collisionsv1' = [v1 * (m1-m2) / (m1+m2)] + [v2 * (2m2) / (m1+m2)]v2' = [v1 * (2m1) / (m1+m2)] - [v2 * (m1-m2) / (m1+m2)]Question 10 options:A)v1' = 0 m/s & v2' = + 1.5 m/sB)v1' = + 0.25 m/s & v2' = + 0.25 m/sC)v1' = -4.6 m/s & v2' = + 3.4 m/sD)v1' = -1 m/s & v2' = + 1 m/sQuestion 11(1 point)Opposite Direction Elastic Collisions by Sim:Use the sliders to set:elasticity = 1 (hit & bounce)m1 = 2 kgm2 = 3 kgv1 = 5 m/sv2 = -3 m/s (remember negative velocity means "to the left")Run the sim to find the speeds of the boxes after the collisionQuestion 11 options: