HW10

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Arizona State University *

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Apr 3, 2024

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4/17/23, 4:37 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 1/2 Score: 100/100 Points 100 % NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A baseball player hits a 5.1-oz baseball with an initial velocity of 165 ft/s at an angle of 40° with the horizontal as shown. References Section Break Difficulty: Easy
4/17/23, 4:37 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 2/2 1. Award: 11.11 out of 11.11 points You received credit for this question in a previous attempt Determine the kinetic energy of the ball immediately after it is hit. (You must provide an answer before moving to the next part.) The kinetic energy of the ball immediately after it is hit is 134.6 ft·lb. References Worksheet Difficulty: Easy Determine the kinetic energy of the ball immediately after it is hit. (You must provide an answer before moving to the next part.) The kinetic energy of the ball immediately after it is hit is 134.8 ± 5% ft·lb. Explanation: Mass of baseball: m W g Velocity of baseball: v Kinetic energy immediately after the hit: m T v
4/17/23, 4:39 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 1/2 Score: 100/100 Points 100 % NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A baseball player hits a 5.1-oz baseball with an initial velocity of 165 ft/s at an angle of 40° with the horizontal as shown. References Section Break Difficulty: Easy
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4/17/23, 4:39 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 2/2 2. Award: 11.11 out of 11.11 points You received credit for this question in a previous attempt Determine the kinetic energy of the ball when it reaches its maximum height. (You must provide an answer before moving to the next part.) The kinetic energy of the ball at its maximum height is 79 ft·lb. References Worksheet Difficulty: Medium Determine the kinetic energy of the ball when it reaches its maximum height. (You must provide an answer before moving to the next part.) The kinetic energy of the ball at its maximum height is 79.1 ± 5% ft·lb. Explanation: Velocity of baseball at maximum height: v º v o Kinetic energy at maximum height: T
4/17/23, 4:40 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 1/2 Score: 100/100 Points 100 % NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A baseball player hits a 5.1-oz baseball with an initial velocity of 165 ft/s at an angle of 40° with the horizontal as shown. References Section Break Difficulty: Easy
4/17/23, 4:40 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 2/2 3. Award: 11.11 out of 11.11 points You received credit for this question in a previous attempt Determine the maximum height above the ground reached by the ball. The maximum height reached by the ball is 176.5 ft. References Worksheet Difficulty: Easy Difficulty: Medium Determine the maximum height above the ground reached by the ball. The maximum height reached by the ball is 176.7 ± 5% ft. Explanation: Principle of work and energy: T U T Work of weight: U Hence, the maximum height above impact point: d T T W The maximum height above ground: h d
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4/17/23, 4:40 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 1/2 Score: 100/100 Points 100 % NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The subway train shown is traveling at a speed of 23 mi/h when the brakes are fully applied on the wheels of cars B and C , causing them to slide on the track, but are not applied on the wheels of car A . The coefficient of kinetic friction is 0.35 between the wheels and the track. References Section Break Difficulty: Medium
4/17/23, 4:40 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 2/2 4. Award: 11.11 out of 11.11 points You received credit for this question in a previous attempt Determine the distance required to bring the train to a stop. (You must provide an answer before moving to the next part.) The distance required to bring the train to a stop is 72.9 ft. References Worksheet Difficulty: Medium Determine the distance required to bring the train to a stop. (You must provide an answer before moving to the next part.) The distance required to bring the train to a stop is 72.9 ± 5% ft. Explanation: k F B F C v Entire train: T U T Hence, x W A W B W C v g F B F C
4/17/23, 4:41 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 1/3 Score: 100/100 Points 100 % NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The subway train shown is traveling at a speed of 23 mi/h when the brakes are fully applied on the wheels of cars B and C , causing them to slide on the track, but are not applied on the wheels of car A . The coefficient of kinetic friction is 0.35 between the wheels and the track. References Section Break Difficulty: Medium
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4/17/23, 4:41 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 2/3 5. Award: 11.11 out of 11.11 points You received credit for this question in a previous attempt Determine the force in each coupling. Also, determine if each of the coupling is in tension or compression. The force in coupling AB is 19.39 kips. The coupling AB is in tension . The force in coupling BC is 8.61 kips. The coupling BC is in tension . References Worksheet Difficulty: Medium Determine the force in each coupling. Also, determine if each of the coupling is in tension or compression. The force in coupling AB is 19.38 ± 5% kips. The coupling AB is in tension . The force in coupling BC is 8.62 ± 5% kips. The coupling BC is in tension . Explanation: Force in each coupling: Recall that x = 72.9 ft For car C ,
4/17/23, 4:41 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 3/3
4/17/23, 4:42 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 1/4 Score: 100/100 Points 100 %
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4/17/23, 4:42 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 2/4 6. Award: 11.11 out of 11.11 points You did not receive full credit for this question in a previous attempt A 4400-lb truck is being used to lift a 1000-lb boulder B that is on a 200-lb pallet A . Knowing that the truck starts from rest and that the horizontal force between the tires and the ground is 700 lb, determine the velocity of the boulder after the truck has moved forward 6 ft. The velocity of the boulder is 1.43 ft/s. References Worksheet Difficulty: Medium A 4400-lb truck is being used to lift a 1000-lb boulder B that is on a 200-lb pallet A . Knowing that the truck starts from rest and that the horizontal force between the tires and the ground is 700 lb, determine the velocity of the boulder after the truck has moved forward 6 ft.
4/17/23, 4:42 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 3/4 The velocity of the boulder is 1.434 ± 5% ft/s. Explanation: The work-energy principle is used here. The motion is dependent. For dependent motion, or 3 ft up
4/17/23, 4:42 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 4/4 Now, where Substituting into equation (1), v A = 1.434 ft/s
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4/17/23, 4:44 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 1/5 Score: 100/100 Points 100 %
4/17/23, 4:44 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 2/5 7. Award: 11.11 out of 11.11 points You did not receive full credit for this question in a previous attempt A 2-lb collar C may slide without friction along a horizontal rod. It is attached to three springs, each of constant 34-lb/ft and 2-in. undeformed length. Knowing that the collar is released from rest in the position shown, determine the maximum speed it will reach in the ensuing motion. The maximum speed the collar will reach in the ensuing motion is 4.54 ft/s ↔ . References Worksheet Difficulty: Medium A 2-lb collar C may slide without friction along a horizontal rod. It is attached to three springs, each of constant 34-lb/ft and 2-in. undeformed length. Knowing that the collar is released from rest in the position shown, determine the maximum speed it will reach in the ensuing motion.
4/17/23, 4:44 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 3/5 The maximum speed the collar will reach in the ensuing motion is 4.541 ± 5% ft/s ↔ . Explanation: The maximum velocity will occur when the acceleration is zero. This occurs at the point E , where the net spring force in the x direction is zero. Position 1: Note: Undeformed length of springs = 2 in. = 0.1667 ft. Spring AC : Spring CD :
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4/17/23, 4:44 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 4/5 Spring BC : Potential energy: Position 2: Spring AC : Spring CD : Spring BC : Potential energy: Conservation of energy:
4/17/23, 4:44 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 5/5
4/17/23, 4:45 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 1/7 Score: 100/100 Points 100 % NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A roller coaster starts from rest at A , rolls down the track to B , describes a circular loop of 12-m diameter, and travels up and down past point E. Assume that there is no energy loss due to friction. Given: h = 20 m. References Section Break Difficulty: Medium
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4/17/23, 4:45 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 2/7 8. Award: 11.11 out of 11.11 points You did not receive full credit for this question in a previous attempt Draw the free-body diagram of the roller coaster at the points B, D , and E . (You must provide an answer before moving on to the next part.) The free-body diagram at the point B is Your answer is correct B W=mg F n x y θ = 0° version: v1.0b79 The free-body diagram at the point D is
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4/17/23, 4:45 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 3/7 Your answer is correct D W=mg F n x y θ = 0° version: v1.0b79 The free-body diagram at the point E is
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4/17/23, 4:45 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 4/7 Your answer is correct E W=mg F n x y θ = 0° version: v1.0b79 References Free-Body Diagram Difficulty: Medium Draw the free-body diagram of the roller coaster at the points B, D , and E . (You must provide an answer before moving on to the next part.) The free-body diagram at the point B is
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4/17/23, 4:45 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 5/7 B W=mg F n x y θ = 0° version: v1.0b79 The free-body diagram at the point D is
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4/17/23, 4:45 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 6/7 D W=mg F n x y θ = 0° version: v1.0b79 The free-body diagram at the point E is
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4/17/23, 4:45 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 7/7 E W=mg F n x y θ = 0° version: v1.0b79
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4/17/23, 4:46 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 1/4 Score: 100/100 Points 100 % NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A roller coaster starts from rest at A , rolls down the track to B , describes a circular loop of 12-m diameter, and travels up and down past point E. Assume that there is no energy loss due to friction. Given: h = 20 m. References Section Break Difficulty: Medium
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4/17/23, 4:46 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 2/4 9. Award: 11.12 out of 11.12 points You did not receive full credit for this question in a previous attempt Determine the force exerted by the seat on a 58-kg rider at B , D , and E . The force exerted by the seat at B is 4362.18 N. The force exerted by the seat at D is 950.196 N. The force exerted by the seat at E is - 68.27 N. References Worksheet Difficulty: Medium Determine the force exerted by the seat on a 58-kg rider at B , D , and E . The force exerted by the seat at B is 4362.18 ± 5% N. The force exerted by the seat at D is 948.3 ± 5% N. The force exerted by the seat at E is - 68.2776 ± 5% N. Explanation: Conservation of energy: The system is the roller coaster car. By using A as the datum, we find the velocity at each point.
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4/17/23, 4:46 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 3/4 Analyze the rider at the point B using Newton's second law: Similarly, at the point D ,
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4/17/23, 4:46 PM Assignment Print View https://ezto.mheducation.com/api/caa/activity/C15Print?jwt=eyJhbGciOiJSUzI1NiJ9.eyJlbnZpcm9ubWVudCI6InByb2QiLCJpc3MiOiJlenQiLCJwcmlud… 4/4 At the point E ,
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