S ES S the way they were presented, hot hecessarily in the order of difficulty. At...

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S ES S the way they were presented, hot hecessarily in the order of difficulty. At the risk of sounding repetitious, don't wait until the night before to complete these. 19 1. Towing a Trailer A 1.00 Mg car is towing a 300 kg trailer. The two bodies move together with a common acceleration of 2.15. Ignore the action of any air drag on the car or trailer, and assume the friction on the trailer is negligible and that the acceleration due to gravity is 10. a. Make a complete and properly labeled force diagram for the car and the trailer each. (Hint: make sure the direction of the net force on each system is representative of the direction of the acceleration for each) b. What is the net force on the car? Represent it as a vector using the appropriate unit vector(s) (e.g. i and ). c. What is the net force on the trailer? Represent it as a vector using the appropriate unit vector(s) (e.g. 2 and ). d. What is the net force on the road due to the car? Represent it as a vector using the appropriate unit vector(s) (e.g. i and j). (Hint: this is not a one dimensional force) e. How much time would it take for the car and trailer to reach a speed of 60 mph? Explain your work. 2. Applied Forces Modeled Using Hanging Blocks - Challenge Problem A block of mass m = 5.00 kg is placed on a frictionless horizontal surface and connected to a string that passes over a pulley. The string is given a gentle constant pull downward as illustrated below. Assume that the acceleration due to gravity is 10. utoring 365 utor 1 ! 2 @ Q W A Z S stv 4 $ 54 #3 % 95 MacBook Pro 6 > 27 A zoom E R T Y U D F G H 8 * 9 P 0 P | J K L X C V B N M I H H + > command ments ments sions es e C Tutoring des nce 365 etTutor s3/2704 1 gnments/6553730?module_item_id=17349467 2. Applied Forces Modeled Using Hanging Blocks - Challenge Problem A block of mass m = 5.00 kg is placed on a frictionless horizontal surface and connected to a string that passes over a pulley. The string is given a gentle constant pull downward as illustrated below. Assume that the acceleration due to gravity is 10 19 2 M a. Make a complete and properly labeled force diagram for the block m1. b. Suppose the pull is defined by the vector F= -32.1 N 3, what is the acceleration of the block m1? Explain your work. c. The hand is replaced by a hanging block as illustrated below. Make a complete and properly labeled force diagrams for each of the blocks m and m2. MAR 4 stv C MacBook Pro G Search or type URL # $ % & 3 4 5 6 28 7 Q W E R T Y A S D F G H * 8 A | zoom 9 0 0 P J K L I < > Z X C V B N M ents ts S oring 55 t 19 b. Suppose the pull is defined by the vector F = -32.1 N 3, what is the acceleration of the block m1? Explain your work. c. The hand is replaced by a hanging block as illustrated below. Make a complete and properly labeled force diagrams for each of the blocks m and m2. m1 m2 d. Find the acceleration of the two blocks if the mass of the second block is m2 = 3.21 kg. Explain your work. (Hint: this result is not the same as that in part b) e. What mass should the second block have such that the acceleration of the two blocks is the same as that in part b? Explain your work. 3. Pulling a Suitcase You are towing a suitcase through a train station at a constant rate. The suitcase has a mass of 20.0 kg, and can be pulled by a leather strap as diagrammed below. You pull on the strap with a 35.0 N force at an angle with respect to the horizontal. A frictional force acts on the suitcase with a force of 20.0 N to # 2 3 MAR 4 tv MacBook Pro C G Search or type URL & 54 $ % 5 6 27 W E R T Y S H U zoom 8 9 O O D F GH J 21 K L P [ C V B N M H T laccd.edu/courses/270459/assignments/6553730?module_item_id=17349467 ents nts ns 3. Pulling a Suitcase toring 365 For You are towing a suitcase through a train station at a constant rate. The suitcase has a mass of 20.0 kg, and can be pulled by a leather strap as diagrammed below. You pull on the strap with a 35.0 N force at an angle with respect to the horizontal. A frictional force acts on the suitcase with a force of 20.0 N to oppose the motion. Assume that the acceleration due to gravity is 10 19 a. Make a complete and properly labeled force diagram for the suitcase. MAR 4 tv N 66 A C # BB 2 3 $ EA 4 MacBook Pro Search or type URL 985 % & 6 7 28 8 W E R T Y U S D F G H D zoom 6 0 O P K L 19 a. Make a complete and properly labeled force diagram for the suitcase. b. Calculate the angle made by the leather strap. Explain your work. c. Find the magnitude of the normal force exerted on the suitcase by the ground. Explain your work. 4. Inclines, Forces, and Motion A 3.00 kg block starts from rest at the top of a rough incline that makes an angle of 30.0 with respect to the horizontal. It slides 2.00 m down the incline in a time interval of 1.50 s. Assume that the acceleration due to gravity is 10. a. What is the magnitude of the acceleration? Explain your work. b. Make a complete and properly labeled force diagram for the block. c. Find the coefficient of kinetic friction between the block and the incline. Explain your work. d. What final speed does the block have after the 1.50 s time interval? MAR 4 C $ #3 # 4 tv MacBook Pro G Search or type URL % 95 0> 29 & 7 A zoom E R T Y U * 8 ( 9 0 O S ES S the way they were presented, hot hecessarily in the order of difficulty. At the risk of sounding repetitious, don't wait until the night before to complete these. 19 1. Towing a Trailer A 1.00 Mg car is towing a 300 kg trailer. The two bodies move together with a common acceleration of 2.15. Ignore the action of any air drag on the car or trailer, and assume the friction on the trailer is negligible and that the acceleration due to gravity is 10. a. Make a complete and properly labeled force diagram for the car and the trailer each. (Hint: make sure the direction of the net force on each system is representative of the direction of the acceleration for each) b. What is the net force on the car? Represent it as a vector using the appropriate unit vector(s) (e.g. i and ). c. What is the net force on the trailer? Represent it as a vector using the appropriate unit vector(s) (e.g. 2 and ). d. What is the net force on the road due to the car? Represent it as a vector using the appropriate unit vector(s) (e.g. i and j). (Hint: this is not a one dimensional force) e. How much time would it take for the car and trailer to reach a speed of 60 mph? Explain your work. 2. Applied Forces Modeled Using Hanging Blocks - Challenge Problem A block of mass m = 5.00 kg is placed on a frictionless horizontal surface and connected to a string that passes over a pulley. The string is given a gentle constant pull downward as illustrated below. Assume that the acceleration due to gravity is 10. utoring 365 utor 1 ! 2 @ Q W A Z S stv 4 $ 54 #3 % 95 MacBook Pro 6 > 27 A zoom E R T Y U D F G H 8 * 9 P 0 P | J K L X C V B N M I H H + > command ments ments sions es e C Tutoring des nce 365 etTutor s3/2704 1 gnments/6553730?module_item_id=17349467 2. Applied Forces Modeled Using Hanging Blocks - Challenge Problem A block of mass m = 5.00 kg is placed on a frictionless horizontal surface and connected to a string that passes over a pulley. The string is given a gentle constant pull downward as illustrated below. Assume that the acceleration due to gravity is 10 19 2 M a. Make a complete and properly labeled force diagram for the block m1. b. Suppose the pull is defined by the vector F= -32.1 N 3, what is the acceleration of the block m1? Explain your work. c. The hand is replaced by a hanging block as illustrated below. Make a complete and properly labeled force diagrams for each of the blocks m and m2. MAR 4 stv C MacBook Pro G Search or type URL # $ % & 3 4 5 6 28 7 Q W E R T Y A S D F G H * 8 A | zoom 9 0 0 P J K L I < > Z X C V B N M ents ts S oring 55 t 19 b. Suppose the pull is defined by the vector F = -32.1 N 3, what is the acceleration of the block m1? Explain your work. c. The hand is replaced by a hanging block as illustrated below. Make a complete and properly labeled force diagrams for each of the blocks m and m2. m1 m2 d. Find the acceleration of the two blocks if the mass of the second block is m2 = 3.21 kg. Explain your work. (Hint: this result is not the same as that in part b) e. What mass should the second block have such that the acceleration of the two blocks is the same as that in part b? Explain your work. 3. Pulling a Suitcase You are towing a suitcase through a train station at a constant rate. The suitcase has a mass of 20.0 kg, and can be pulled by a leather strap as diagrammed below. You pull on the strap with a 35.0 N force at an angle with respect to the horizontal. A frictional force acts on the suitcase with a force of 20.0 N to # 2 3 MAR 4 tv MacBook Pro C G Search or type URL & 54 $ % 5 6 27 W E R T Y S H U zoom 8 9 O O D F GH J 21 K L P [ C V B N M H T laccd.edu/courses/270459/assignments/6553730?module_item_id=17349467 ents nts ns 3. Pulling a Suitcase toring 365 For You are towing a suitcase through a train station at a constant rate. The suitcase has a mass of 20.0 kg, and can be pulled by a leather strap as diagrammed below. You pull on the strap with a 35.0 N force at an angle with respect to the horizontal. A frictional force acts on the suitcase with a force of 20.0 N to oppose the motion. Assume that the acceleration due to gravity is 10 19 a. Make a complete and properly labeled force diagram for the suitcase. MAR 4 tv N 66 A C # BB 2 3 $ EA 4 MacBook Pro Search or type URL 985 % & 6 7 28 8 W E R T Y U S D F G H D zoom 6 0 O P K L 19 a. Make a complete and properly labeled force diagram for the suitcase. b. Calculate the angle made by the leather strap. Explain your work. c. Find the magnitude of the normal force exerted on the suitcase by the ground. Explain your work. 4. Inclines, Forces, and Motion A 3.00 kg block starts from rest at the top of a rough incline that makes an angle of 30.0 with respect to the horizontal. It slides 2.00 m down the incline in a time interval of 1.50 s. Assume that the acceleration due to gravity is 10. a. What is the magnitude of the acceleration? Explain your work. b. Make a complete and properly labeled force diagram for the block. c. Find the coefficient of kinetic friction between the block and the incline. Explain your work. d. What final speed does the block have after the 1.50 s time interval? MAR 4 C $ #3 # 4 tv MacBook Pro G Search or type URL % 95 0> 29 & 7 A zoom E R T Y U * 8 ( 9 0 O