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PRACTICE IT Use the worked example above to help you solve this problem. In a crash test, a car of mass 1.41 x 10³ kg collides with a wall and rebounds as shown in the figure. The initial and final velocities of the car are v; = -15.5 m/s and v= 2.35 m/s, respectively. If the collision lasts for 0.155 s, find the following. (a) the impulse delivered to the car due to the collision 5.22 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg. m/s (b) the size of and direction of the average force exerted on the car (Indicate the direction with the sign of your answer.) --19.52 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. N EXERCISE Use the values from PRACTICE IT to help you work this exercise. Suppose the car doesn't rebound off the wall, but the time interval of the collision remains at 0.155 s. In this case, the final velocity of the car is zero. Find the average force exerted on the car. (Indicate the direction with the sign of your answer.) 240250.989 X Look at the changes in momentum of the car in the example and in this exercise. Which change is larger? Which average force should be larger? N HINTS: GETTING STARTED I I'M STUCK!

PRACTICE IT Use the worked example above to help you solve this problem. In a crash test, a car of mass 1.41 x 10³ kg collides with a wall and rebounds as shown in the figure. The initial and final velocities of the car are v; = -15.5 m/s and v= 2.35 m/s, respectively. If the collision lasts for 0.155 s, find the following. (a) the impulse delivered to the car due to the collision 5.22 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg. m/s (b) the size of and direction of the average force exerted on the car (Indicate the direction with the sign of your answer.) --19.52 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. N EXERCISE Use the values from PRACTICE IT to help you work this exercise. Suppose the car doesn't rebound off the wall, but the time interval of the collision remains at 0.155 s. In this case, the final velocity of the car is zero. Find the average force exerted on the car. (Indicate the direction with the sign of your answer.) 240250.989 X Look at the changes in momentum of the car in the example and in this exercise. Which change is larger? Which average force should be larger? N HINTS: GETTING STARTED I I'M STUCK!

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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PRACTICE IT Use the worked example above to help you solve this problem. In a crash test, a car of mass 1.41 x 10³ kg collides with a wall and rebounds as shown in the figure. The initial and final velocities of the car are v; = -15.5 m/s and vf = 2.35 m/s, respectively. If the collision lasts for 0.155 s, find the following. (a) the impulse delivered to the car due to the collision 5.22 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg. m/s (b) the size of and direction of the average force exerted on the car (Indicate the direction with the sign of your answer.) --19.52 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. N EXERCISE GETTING STARTED I I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. Suppose the car doesn't rebound off the wall, but the time interval of the collision remains at 0.155 s. In this case, the final velocity of the car is zero. Find the average force exerted on the car. (Indicate the direction with the sign of your answer.) 240250.989 X HINTS: Look at the changes in momentum of the car in the example and in this exercise. Which change is larger? Which average force should be larger? N
Transcribed Image Text:PRACTICE IT Use the worked example above to help you solve this problem. In a crash test, a car of mass 1.41 x 10³ kg collides with a wall and rebounds as shown in the figure. The initial and final velocities of the car are v; = -15.5 m/s and vf = 2.35 m/s, respectively. If the collision lasts for 0.155 s, find the following. (a) the impulse delivered to the car due to the collision 5.22 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg. m/s (b) the size of and direction of the average force exerted on the car (Indicate the direction with the sign of your answer.) --19.52 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. N EXERCISE GETTING STARTED I I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. Suppose the car doesn't rebound off the wall, but the time interval of the collision remains at 0.155 s. In this case, the final velocity of the car is zero. Find the average force exerted on the car. (Indicate the direction with the sign of your answer.) 240250.989 X HINTS: Look at the changes in momentum of the car in the example and in this exercise. Which change is larger? Which average force should be larger? N
EXAMPLE 6.2 GOAL Find an impulse and estimate a force in a collision of a moving object with a stationary object. How Good Are the Bumpers? PROBLEM In a crash test, a car of mass 1.50 x 10³ kg collides with a wall and rebounds as in the figure. The initial and final velocities of the car are v; = -15.0 m/s and vf = 2.60 m/s, respectively. If the collision lasts for 0.150 s, find (a) the impulse delivered to the car due to the collision and +2.60 m/s -15.0 m/s SOLUTION (A) Find the impulse delivered to the car. Calculate the initial and final momenta of the car. The impulse is just the difference between the final and initial momenta. Before (B) Find the average force exerted on the car. Apply the impulse-momentum theorem. a (a) This car's momentum changes as a result of its collision with the wall. (b) In a crash test (an inelastic collision), much of the car's initial kinetic energy is transformed into the energy it took to damage the vehicle. (b) the size and direction of the average force exerted on the car. After STRATEGY This problem is similar to the a golf club striking a stationary golf ball, except that the initial and final momenta are both nonzero. Find the momenta and substitute into the impulse-momentum theorem, solving for Fav. Fav ⒸVolvo Car Corporation = b nazir P₁ = mv; (1.50 x 10³ kg)(-15.0 m/s) = -2.25 x 104 kg. m/s Pf = mvf = (1.50 × 10³ kg)(+2.60 m/s) = +0.390 x 104 kg. m/s I = Pf - Pi = +0.390 x 104 kg m/s - (-2.25 × 104 kg · m/s) I = 2.64 × 104 kg. m/s Ap At 2.64 x 104 kg. m/s 0.150 s = +1.76 x 105 N
Transcribed Image Text:EXAMPLE 6.2 GOAL Find an impulse and estimate a force in a collision of a moving object with a stationary object. How Good Are the Bumpers? PROBLEM In a crash test, a car of mass 1.50 x 10³ kg collides with a wall and rebounds as in the figure. The initial and final velocities of the car are v; = -15.0 m/s and vf = 2.60 m/s, respectively. If the collision lasts for 0.150 s, find (a) the impulse delivered to the car due to the collision and +2.60 m/s -15.0 m/s SOLUTION (A) Find the impulse delivered to the car. Calculate the initial and final momenta of the car. The impulse is just the difference between the final and initial momenta. Before (B) Find the average force exerted on the car. Apply the impulse-momentum theorem. a (a) This car's momentum changes as a result of its collision with the wall. (b) In a crash test (an inelastic collision), much of the car's initial kinetic energy is transformed into the energy it took to damage the vehicle. (b) the size and direction of the average force exerted on the car. After STRATEGY This problem is similar to the a golf club striking a stationary golf ball, except that the initial and final momenta are both nonzero. Find the momenta and substitute into the impulse-momentum theorem, solving for Fav. Fav ⒸVolvo Car Corporation = b nazir P₁ = mv; (1.50 x 10³ kg)(-15.0 m/s) = -2.25 x 104 kg. m/s Pf = mvf = (1.50 × 10³ kg)(+2.60 m/s) = +0.390 x 104 kg. m/s I = Pf - Pi = +0.390 x 104 kg m/s - (-2.25 × 104 kg · m/s) I = 2.64 × 104 kg. m/s Ap At 2.64 x 104 kg. m/s 0.150 s = +1.76 x 105 N
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