A car with mass 996 kg moving at 28 m/s hits a giant bag of marshmallows.  The bag slows the car down, but it is unable to completely stop it because it ruptures at Dt = 1.8 s after the car hits, scattering marshmallows all over the countryside.  Suppose the bag exerts a force on the car that depends on time (t) given by F = -At2; A = 7.2 x 103 N/s2 when t is in seconds from the moment the car hits the bag (t = 0) until the moment the bag ruptures.  What is the speed of the car after the bag ruptures? (answer: 14 m/s)

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A: We know that  Impulse = change in momentum  Favg×t= change in momentum  Favg=change in momentum/t

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Q: As part of a safety investigation, two 1400 kg cars traveling at 20 m/s are crashed into different…

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A: Part A: Only frictional force is acting on the block. Thus, using Newton’s second law of motion:

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Q: 1. In an experiment, you throw a rubber ball of mass m = 25.0 g onto a block of mass M = 250 g that…

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Q: 8. A small block of mass 0.75 kg, which is initially at rest is struck by an impulsive force (F) of…

A: Mass = 0.75 kg  Initial velocity = 0 m/s  Time = 10 ms

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Q: In a classic comedy gag, a clown gets a pie thrown at their face. The pie weighs 0.9097 kg and flies…

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Q: *11. GO A student (m = 63 kg) falls freely from rest and strikes the ground. During the collision…

A: It is given that,

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Q: In a game of billiards, the cue ball is traveling eastward when it strikes a second ball that is…

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A: Given- Mass of block (m) = 25 Kg Kinetic Friction (μ) = 0.20 Applied force (F) = 63 N

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Q: During a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the…

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Q: A block of mass m1 = 13.5 kg slides along a horizontal surface (with friction, μk = 0.31) a distance…

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Q: As seen in the figure, two sleds, each weighing 20 kg, stand on the same axis and at a short…

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A:

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Q: 2. Block 1 of mass m, slides from rest along a frictionless ramp from height h = 1.60 m and then…

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Q: A 15 g bullet is shot vertically into an 2.10 kg block and does not exit. The block lifts upward 8.0…

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”