Problem 5: A car's bumper is designed to withstand a 4.0-km/h (1.1-m/s) collision with an immovable object without damaging thebody of the car. The bumper cushions the shock by absorbing the force over a distance.D A Calculate the magnitude of the average force on a bumper that collapses 0.22 m while bringing a 750-kg car to rest from an initial speed of 1.7 m/s, innewtons.F =sin()cos()tan()789HOMEcotan()asin()acos()E456atan()acotan()sinh()123cosh()tanh()cotanh()ENDO DegreesO RadiansVO BACKSPACEDELCLEARSubmitHintFeedbackI give up!

We can find the average force in a bumper from the work - energy theorem

Answered: Problem 5: A car's bumper is designed…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter8: Linear Momentum And Collisions

Section: Chapter Questions

Problem 31PE: A 0.240-kg billiard ball that is moving at 3.00 m/s strikes the bumper of a pool table and bounces...

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In a “Top Fail” video (https://openstaxcollege.org/l/21topfailvideo), two women run at each other and collide by hitting exercise balls together. If each woman has a mass of 50 kg, which includes the exercise ball, and one woman runs to the right at 2.0 m/s and the other is running toward her at 1.0 m/s, (a) how much total kinetic energy is there in the system? (b) If energy is conserved after the collision and each exercise ball has a mass of 2.0 kg, how fast would the balls fly off toward the camera?
A Small pickup truck that has a caliper shell slowly coasts toward a red light with negligible friction. Two dogs in the back of the truck are moving and making various inelastic collisions with each other and the walls. What is the effect of the dogs on the motion of the center of mass of the system (truck plus entire load)? What is their effect on the motion of the truck?
A car crashes into a large tree that does not move. The car goes from 30 m/s to 0 in 1.3 m. (a) What impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) What is the average force applied to the driver by the seatbelt?
(a) A 75-kg man steps out a window and falls (from rest) 1.0 m to a sidewalk. What is his speed just before his feet strike the pavement? (b) If the man falls with his knees and ankles locked, the only cushion for his fall is an approximately 0.50-cm give in the pads of his feet. Calculate the average force exerted on him by the ground during this 0.50 cm of travel. This average force is sufficient to cause damage to cartilage in the joints or to break bones.
A 1 200-kg car traveling initially at vCi = 25.0 m/s in an easterly direction crashes into the back of a 9 000-kg truck moving in the same direction at vTi = 20.0 m/s (Fig. P9.12). The velocity of the car immediately after the collision is vCf = 18.0 m/s to the east. (a) What is the velocity of the truck immediately after the collision? (b) What is the change in mechanical energy of the cartruck system in the collision? (c) Account for this change in mechanical energy.
A 0.240-kg billiard ball that is moving at 3.00 m/s strikes the bumper of a pool table and bounces straight back at 2.40 m/s (80% of its original speed). The collision lasts 0.0150 s. (a) Calculate the average force exerted on the ball by the bumper. (b) How much kinetic energy in joules is lost during the collision? (c) What percent of the original energy is left?
A Show that Equation 11.4 (the impulsemomentum theorem) is another statement of Newtons second law.
Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light spring is attached to the more massive block, and the blocks are pushed together with the spring between them (Fig. P8.7). A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of 2.00 m/s. (a) What is the velocity of the block of mass m? (b) Find the systems original elastic potential energy, taking m = 0.350 kg. (c) Is the original energy in the spring or in the cord? (d) Explain your answer to part (c). (e) Is the momentum of the system conserved in the bursting-apart process? Explain how that is possible considering (f) there are large forces acting and (g) there is no motion beforehand and plenty of motion afterward? Figure P8.7
A baseball is thrown vertically upward. The mass of the baseball is m, and its initial speed is vi. a. What is the momentum of the baseball at its maximum height? b. What is the momentum of the baseball when it has traveled three-fourths of the total distance in its up-and-down motion?
A car is bumper is designed to withstand a 4.32-km/h (1.2-m/s) collision with an Immovable object without damage to the body of the car. The bumper cushions to shock Bob Zorbing the force over a distance. Calculate the magnitude of the average force on a bumper that collapses 0.210 m while bringing a 820-kg car to rest from an initial speed of 1.2 m/s. n ?

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