Momentum and Impulse

Key Questions

• How is impulse related to momentum?

  Answer:

  #underbrace(bbJ = int_(t_1)^(t_2) bbF \ dt)_("Impulse") = underbrace(bb p_2 -bb p_2)_("Change in Momentum")#

  Explanation:

  Newton's 2nd Law:

  • #bbF = dot bb p#

  #implies underbrace(Delta bb p = dot bb p Delta t)_("Change in Momentum") = underbrace(bb F Delta t)\_("Impulse")#

  In integral form:

  #underbrace(bbJ = int_(t_1)^(t_2) bbF \ dt)_("Impulse") = underbrace(bb p_2 - bb p_2)_("Change in Momentum")#

  Ultrilliam · 2 · Jun 11 2018

• Question #ce067
• Question #13b3d
• If the velocity of an object doubles, does its momentum double?
• How can an impulse exerted on something be increased?
• How is impulse related to momentum?
• What are the units for impulse?
• Could an elephant have the same momentum as a golf ball?
• Can an object that is not moving have momentum?
• Is momentum conserved in an inelastic collision?
• How much momentum does a 1000 kg car traveling at 35 m/s have?
• What are some examples of momentum?
• What are some examples of impulse?
• What are some common mistakes students make with impulse?
• What is an example of an impulse practice problem?
• How is momentum conserved when the ball collides with the floor?
• Can impulse be decreased?
• How can momentum be decreased?
• Can momentum be negative?
• How can momentum be increased?
• How do force and momentum relate?
• How do you calculate the change in momentum of an object?
• How do you calculate the momentum of a photon?
• Why is impulse a vector?
• How does momentum relate to the newton's laws?
• How does momentum differ from inertia?
• How does bouncing affect impulse?
• How does increased mass change momentum?
• How does impulse relate to work?
• Question #5487e
• A diwali rocket is ejecting 50 g of gases at velocity of 400m/s .the accelerating force on the rocket will be...???
• Question #6028a
• How are momentum and impulse calculated?
• How does impulse affect momentum?
• How does momentum and impulse affect a dropped object?
• Question #e3483
• Question #593cb
• Assume a car and truck are moving with the Impulse same speed of 15 m/s. 1) Calculate momentum of the car of mass 975 kg 2) Calculate momentum of the truck of mass 2675 kg 3) Determine the force =? Needed to stop each in 25 s.
• Two groups of canoeists meet in the middle of a lake. A person in canoe 1 pushes on canoe 2 with a force of 46 N to separate the canoes. If the mass of canoe 1 and its occupants is 130 kg, and the mass of canoe 2 and its occupants is 250 kg, after 1.20s?
• A 600.0 kg cannon stands on frictionless wheels and fires a 9.50 kg cannonball horizontally at 150. m/s. With what velocity does the cannon move after firing the ball ?
• You stand on a skateboard at rest and throw a rock at 5 m/sec. You move back at 0.5 m/ sec. What is the combined mass of you and the skateboard?
• A #3# kilogram object is acted upon by an impulse having a magnitude of #15# #N*s#. What is the magnitude of the object's change in momentum due to this impulse?
• Which has greater momentum, a semi truck at rest or a bicycle in motion?
• You're driving down the highway and a bug spatters into your windshieId. Which undergoes the greater change in momentum, the car, or the bug?
• What is the momentum of an 10 kg bowling ball rolling at 3 m/s?
• How much momentum does a #8 kg# object moving at #15 m/s# have?
• How much momentum does a #2 kg# object moving at #25 m/s# have?
• How much momentum does a #500 kg# object moving at #1/50 m/s# have?
• How much momentum does a #2 kg# object moving at #15 m/s# have?
• How much momentum does a #1/2# #kg# object moving at #64# #ms^-1# have?
• How much momentum does a #1/4 kg# object moving at #32 m/s# have?
• How much momentum does a #2 kg# object moving at #4 m/s# have?
• How much momentum does a #2 kg# object moving at #1/2 m/s# have?
• How much momentum does a #6 kg# object moving at #1/4 m/s# have?
• How much momentum does a #12 kg# object moving at #9 m/s# have?
• How much momentum does a #1 kg# object moving at #10 m/s# have?
• How much momentum does a #15 kg# object moving at #6 m/s# have?
• How much momentum does a #14 kg# object moving at #8 m/s# have?
• Which has more momentum, a #5kg# object moving at #4m/s# or a #20kg# object moving at #20m/s#?
• Which has more momentum, a #500kg# object moving at #1/4m/s# or a #50kg# object moving at #20m/s#?
• Which has more momentum, a #5# #kg# object moving at #16# #ms^-1# or a #5# #kg# object moving at #20# #ms^-1#?
• Which has more momentum, a #5kg# object moving at #6m/s# or a #12kg# object moving at #2m/s#?
• Which has more momentum, a #4kg# object moving at #4m/s# or a #5kg# object moving at #9m/s#?
• Which has more momentum, a #7kg# object moving at #8m/s# or a #4kg# object moving at #9m/s#?
• Which has more momentum, a #6kg# object moving at #5m/s# or a #9kg# object moving at #3m/s#?
• Which has more momentum, a #6kg# object moving at #9m/s# or a #4kg# object moving at #3m/s#?
• Which has more momentum, a #5kg# object moving at #8m/s# or a #12kg# object moving at #2m/s#?
• Which has more momentum, a #8kg# object moving at #4m/s# or a #7kg# object moving at #5m/s#?
• Which has more momentum, a #"3 kg"# object moving at #"2 m/s"# or a #"5 kg"# object moving at #"9 m/s"#?
• Which has more momentum, a #2kg# object moving at #9m/s# or a #1kg# object moving at #7m/s#?
• Which has more momentum, a #8kg# object moving at #4m/s# or a #6kg# object moving at #6m/s#?
• Which has more momentum, a #7kg# object moving at #4m/s# or a #6kg# object moving at #7m/s#?
• Which has more momentum, a #3kg# object moving at #5m/s# or a #4kg# object moving at #8m/s#?
• Which has more momentum, a #6# #kg# object moving at #6# #ms^-1# or a #3# #kg# object moving at #10# #ms^-1#?
• Which has more momentum, a #6kg# object moving at #7m/s# or a #3kg# object moving at #5m/s#?
• Which has more momentum, a #7kg# object moving at #4m/s# or a #8kg# object moving at #5m/s#?
• Which has more momentum, a #7kg# object moving at #3m/s# or a #4kg# object moving at #7m/s#?
• Which has more momentum, a #8kg# object moving at #9m/s# or a #4kg# object moving at #7m/s#?
• Which has more momentum, an object with a mass of #5kg# moving at #3m/s# or an object with a mass of #9kg# moving at #2m/s#?
• Which has more momentum, an object with a mass of #6kg# moving at #2m/s# or an object with a mass of #12kg# moving at #3m/s#?
• Which has more momentum, an object with a mass of #5kg# moving at #3m/s# or an object with a mass of #2kg# moving at #13m/s#?
• Which has more momentum, an object with a mass of #50kg# moving at #23m/s# or an object with a mass of #200kg# moving at #7m/s#?
• Which has more momentum, an object with a mass of #5kg# moving at #15m/s# or an object with a mass of #20kg# moving at #17m/s#?
• Which has more momentum, an object with a mass of #5kg# moving at #15m/s# or an object with a mass of #16kg# moving at #7m/s#?
• Which has more momentum, an object with a mass of #9kg# moving at #8m/s# or an object with a mass of #6kg# moving at #14m/s#?
• Which has more momentum, an object with a mass of #9kg# moving at #8m/s# or an object with a mass of #12kg# moving at #1m/s#?
• Which has more momentum, an object with a mass of #3kg# moving at #14m/s# or an object with a mass of #12kg# moving at #6m/s#?
• Which has more momentum, an object with a mass of #3kg# moving at #4m/s# or an object with a mass of #2kg# moving at #6m/s#?
• A compact car, mass 650 kg, is moving at 100 km/hr toward the south. How do you find the magnitude and direction of its momentum? A second car, with a mass of 2175 kg, has the opposite momentum. What is its velocity?
• What impulse occurs when an average force of 9 N is exerted on a 2.3 kg cart, initially at rest, for 1.2 s? What change in momentum does the cart undergo? What is the cart's final speed?
• What is the momentum of a 3-kg object moving at 5 m/s?
• The position of an object with a mass of #3 kg# is given by #p(t)= t^3-3t^2+ 5 #. What is the impulse applied to the object at #t= 3 #?
• The velocity of an object with a mass of #2 kg# is given by #v(t)= 3 t^2+ 2 t +8#. What is the impulse applied to the object at #t= 4 #?
• The velocity of an object with a mass of #5 kg# is given by #v(t)= 2 t^2 + 9 t #. What is the impulse applied to the object at #t= 7 #?
• The velocity of an object with a mass of #3 kg# is given by #v(t)= - 5sin 2 t + cos 7 t #. What is the impulse applied to the object at #t= pi /6 #?
• The velocity of an object with a mass of #3 kg# is given by #v(t)= sin 4 t + cos 3 t #. What is the impulse applied to the object at #t= pi /6 #?
• The velocity of an object with a mass of #3 kg# is given by #v(t)= sin 4 t + cos 4 t #. What is the impulse applied to the object at #t= pi /4 #?
• The velocity of an object with a mass of #3 kg# is given by #v(t)= sin 2 t + cos 4 t #. What is the impulse applied to the object at #t= pi /4 #?
• The velocity of an object with a mass of #2 kg# is given by #v(t)= sin 5 t + cos 6 t #. What is the impulse applied to the object at #t= pi /4 #?
• The velocity of an object with a mass of #4 kg# is given by #v(t)= sin 3 t + cos 6 t #. What is the impulse applied to the object at #t= pi /3 #?
• The velocity of an object with a mass of #4 kg# is given by #v(t)= sin 9 t + cos 3 t #. What is the impulse applied to the object at #t= pi /3 #?
• The velocity of an object with a mass of #4 kg# is given by #v(t)= sin 3 t + cos 7 t #. What is the impulse applied to the object at #t= (5pi)/12 #?
• The velocity of an object with a mass of #6 kg# is given by #v(t)= sin 2 t + cos 4 t #. What is the impulse applied to the object at #t= (5pi)/12 #?
• The velocity of an object with a mass of #6 kg# is given by #v(t)= sin 5 t + cos 3 t #. What is the impulse applied to the object at #t= ( pi)/ 2 #?
• The velocity of an object with a mass of #3 kg# is given by #v(t)= sin 2 t + cos 9 t #. What is the impulse applied to the object at #t= ( 7 pi)/ 12 #?
• The velocity of an object with a mass of #3 kg# is given by #v(t)= sin 6 t + cos 9 t #. What is the impulse applied to the object at #t= ( 7 pi)/ 12 #?
• The velocity of an object with a mass of #3 kg# is given by #v(t)= sin 8 t + cos 9 t #. What is the impulse applied to the object at #t= ( 7 pi)/ 12 #?
• The velocity of an object with a mass of #8 kg# is given by #v(t)= sin 5 t + cos 3 t #. What is the impulse applied to the object at #t= ( 3 pi)/ 4 #?
• The velocity of an object with a mass of #8 kg# is given by #v(t)= sin 4 t+ cos 13 t #. What is the impulse applied to the object at #t= ( 3 pi)/ 4 #?
• The velocity of an object with a mass of #8 kg# is given by #v(t)= sin 3 t+ cos 2 t #. What is the impulse applied to the object at #t= ( 3 pi)/ 4 #?
• The velocity of an object with a mass of #2 kg# is given by #v(t)= t^3 + 3 t^2 #. What is the impulse applied to the object at #t= 4 #?
• The velocity of an object with a mass of #3 kg# is given by #v(t)= 6 t^2 -4 t #. What is the impulse applied to the object at #t= 3 #?
• The velocity of an object with a mass of #3 kg# is given by #v(t)= 3 t^2 - 5 t #. What is the impulse applied to the object at #t= 2 #?
• The velocity of an object with a mass of #3 kg# is given by #v(t)= - t^2 +4 t #. What is the impulse applied to the object at #t= 5 #?
• The velocity of an object with a mass of #6 kg# is given by #v(t)= te^t-t^2 #. What is the impulse applied to the object at #t= 5 #?
• The velocity of an object with a mass of #6 kg# is given by #v(t)= te^t-e^t #. What is the impulse applied to the object at #t= 3 #?
• A 90 kg man is standing still on frictionless ice. His friend tosses him a 10 kg ball, which has a horizontal velocity of 20 m/s. After catching the ball, what is the man's velocity?
• A bullet traveling at 250 meters per second is brought to rest by an impulse of 5.00 newton-seconds. What is the mass of the bullet?
• An object with a mass of #5 kg# is traveling at #6 m/s#. If the object is accelerated by a force of #f(x) = 2x^2-x# over #x in [0, 9]#, where x is in meters, what is the impulse at #x = 3#?
• An object with a mass of #6 kg# is traveling at #2 m/s#. If the object is accelerated by a force of #f(x) = e^(2x) # over #x in [0, 9]#, where x is in meters, what is the impulse at #x = 6#?
• An object with a mass of #2 kg# is traveling at #14 m/s#. If the object is accelerated by a force of #f(x) = x+xe^x # over #x in [0, 9]#, where x is in meters, what is the impulse at #x = 8#?
• An object with a mass of #4 kg# is traveling at #3 m/s#. If the object is accelerated by a force of #f(x) = 2x^2 -x +3 # over #x in [0, 9]#, where x is in meters, what is the impulse at #x = 2#?
• An object with a mass of #5 kg# is traveling at #2 m/s#. If the object is accelerated by a force of #f(x) = x^2 -x +3 # over #x in [1, 9]#, where x is in meters, what is the impulse at #x = 8#?
• An object with a mass of #4 kg# is traveling at #1 m/s#. If the object is accelerated by a force of #f(x) = x^2 -x +1 # over #x in [1, 9]#, where x is in meters, what is the impulse at #x = 2#?
• In terms of conservation, what is the difference between an elastic and an inelastic collision?
• An object experiences an impulse, moves and attains a momentum of #200# #kg* m/s# If its mass is #50# #kg#, what is its velocity?
• The kinetic energy of an object with a mass of #3 kg# constantly changes from #60 J# to #270 J# over #8 s#. What is the impulse on the object at #5 s#?
• The kinetic energy of an object with a mass of #3 kg# constantly changes from #50 J# to #270 J# over #5 s#. What is the impulse on the object at #3 s#?
• The kinetic energy of an object with a mass of #4 kg# constantly changes from #30 J# to #390 J# over #9 s#. What is the impulse on the object at #2 s#?
• The kinetic energy of an object with a mass of #5 kg# constantly changes from #72 J# to #480 J# over #12 s#. What is the impulse on the object at #2 s#?
• The kinetic energy of an object with a mass of #2 kg# constantly changes from #32 J# to #84 J# over #4 s#. What is the impulse on the object at #1 s#?
• The kinetic energy of an object with a mass of #2 kg# constantly changes from #32 J# to #136 J# over #4 s#. What is the impulse on the object at #1 s#?
• The kinetic energy of an object with a mass of #2 kg# constantly changes from #8 J# to #136 J# over #4 s#. What is the impulse on the object at #1 s#?
• The kinetic energy of an object with a mass of #1 kg# constantly changes from #126 J# to #702 J# over #9 s#. What is the impulse on the object at #5 s#?
• The kinetic energy of an object with a mass of #1 kg# constantly changes from #243 J# to #658 J# over #9 s#. What is the impulse on the object at #3 s#?
• What are the dimensional units of #A# and #B# if a volume, #V#, is given by the equation #V=A*t^3+B/t#?
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• Two cars collide head-on. In which of the following scenarios would you expect the occupants to suffer greater injury? If the cars stick together, or if the cars rebound?
• When a body falls, its momentum increases. Does this mean that the momentum is not conserved?
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