qr code reader for java mobile What is the baseball s final velocity Because pf vf yields the following: vf in Objective-C

Printer QR Code in Objective-C What is the baseball s final velocity Because pf vf yields the following: vf

What is the baseball s final velocity Because pf vf yields the following: vf
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pf m 76 kg m/s 0145 kg m/s
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52 m/s
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A speed of 52 m/s is fast enough to clear most outfield fences if the baseball is hit in the correct direction
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Figure 9-2 An air bag is inflated during a collision when the force due to the impact triggers the sensor The chemicals in the air bag s inflation system react and produce a gas that rapidly inflates the air bag
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A large change in momentum occurs only when there is a large impulse A large impulse can result either from a large force acting over a short period of time or from a smaller force acting over a long period of time What happens to the driver when a crash suddenly stops a car An impulse is needed to bring the driver s momentum to zero According to the impulse-momentum equation, F t pf pi The final momentum, pf , is zero The initial momentum, pi, is the same with or without an air bag Thus, the impulse, F t, also is the same An air bag, such as the one shown in Figure 9-2, reduces the force by increasing the time interval during which it acts It also exerts the force over a larger area of the person s body, thereby reducing the likelihood of injuries
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Section 91 Impulse and Momentum
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Average Force A 2200-kg vehicle traveling at 94 km/h (26 m/s) can be stopped in 21s by gently applying the brakes It can be stopped in 38 s if the driver slams on the brakes, or in 022 s if it hits a concrete wall What average force is exerted on the vehicle in each of these stops
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2200 kg
Analyze and Sketch the Problem
Sketch the system Include a coordinate axis and select the positive direction to be the direction of the velocity of the car Draw a vector diagram for momentum and impulse Known:
m vi vf 2200 kg +26 m/s +00 m/s tgentle braking t hard braking t hitting a wall 21 s 38 s 022 s
94 km/h Vector diagram
Unknown:
Fgentle braking F hard braking F hitting a wall
Solve for the Unknown
Determine the initial momentum, pi pi mvi (2200 kg)( 26 m/s) Substitute m 57 104 kg m/s Determine the final momentum, pf pf mvf (2200 kg)( 00 m/s) Substitute m 00 kg m/s
2200 kg, vi 26 m/s
Impulse
2200 kg, vf
00 m/s
Apply the impulse-momentum theorem to obtain the force needed to stop the vehicle F t pf pi F t ( 00 kg m/s) (57 104 kg m/s) Substitute pf 00 kg m/s, pi 57 104 kg m/s 57 104 kg m/s F
57 104 kg m/s t 57 104 kg m/s 21 s
Substitute tgentle braking 21 s
Fgentle braking
27 103 N F hard braking
57 kg m/s 38 s 104
Substitute thard braking 38 s
Math Handbook
Operations with Significant Digits pages 835 836
15 104 N F hitting a wall
57 104 kg m/s 022 s
Substitute thitting a wall 022 s
26 105 N
Evaluate the Answer
Are the units correct Force is measured in newtons Does the direction make sense Force is exerted in the direction opposite to the velocity of the car and thus, is negative Is the magnitude realistic People weigh hundreds of newtons, so it is reasonable that the force needed to stop a car would be in the thousands of newtons The impulse is the same for all three stops Thus, as the stopping time is shortened by more than a factor of 10, the force is increased by more than a factor of 10
9 Momentum and Its Conservation
1 A compact car, with mass 725 kg, is moving at 115 km/h toward the east Sketch the moving car a Find the magnitude and direction of its momentum Draw an arrow on your sketch showing the momentum b A second car, with a mass of 2175 kg, has the same momentum What is its velocity 2 The driver of the compact car in the previous problem suddenly applies the brakes hard for 20 s As a result, an average force of 50 103 N is exerted on the car to slow it down
a What is the change in momentum; that is, the magnitude and direction of the impulse, on the car b
Force (N) 5 0 5 1 2
Force (N) 5 0 5
1 2 Time (s)
b Complete the before and after sketches, and determine the momentum and the velocity of the car now 3 A 70-kg bowling ball is rolling down the alley with a velocity of 20 m/s For each impulse, shown in Figures 9-3a and 9-3b, find the resulting speed and direction of motion of the bowling ball 4 The driver accelerates a 2400-kg snowmobile, which results in a force being exerted that speeds up the snowmobile from 600 m/s to 280 m/s over a time interval of 600 s a Sketch the event, showing the initial and final situations b What is the snowmobile s change in momentum What is the impulse on the snowmobile
Time (s) Figure 9-3
c What is the magnitude of the average force that is exerted on the snowmobile 5 Suppose a 600-kg person was in the vehicle that hit the concrete wall in Example Problem 1 The velocity of the person equals that of the car both before and after the crash, and the velocity changes in 020 s Sketch the problem a What is the average force exerted on the person b Some people think that they can stop their bodies from lurching forward in a vehicle that is suddenly braking by putting their hands on the dashboard Find the mass of an object that has a weight equal to the force you just calculated Could you lift such a mass Are you strong enough to stop your body with your arms
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