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Mary pulls on a lawnmower parallel to the ground.  The mower moves at a constant speed up the hill.  1 3 4 Which free body diagram best represents the forces on the mower? x y x y x y x y 2
Mary pulls on a lawnmower parallel to the ground.  The mower moves at a constant speed up the hill.  1 3 4 Which free body diagram best represents the forces on the mower? x y x y x y x y 2
Stacey pulls a mower at 40-degrees relative to the ground.  1 2 3 4 Which free body diagram best represents the forces on the mower? x 40 0 y y x 40 0 x y 40 0 y x 40 0
Stacey pulls a mower at 40-degrees relative to the ground.  1 2 3 4 Which free body diagram best represents the forces on the mower? x 40 0 y y x 40 0 x y 40 0 y x 40 0
Marsha pulls a sled on ice (no friction). The rope exerts a 150-N force at an angle of 20 0  above horizontal. The mass of the sled and her brother is 45 kg. g = 10 m/s 2 .  Stacey represented this situation pictorially and mathematically. Did the student mislabel or forget to include anything?   1 (150 N) should be  (150 N) sin 20 o . 2 (150 N) should be  (150 N) cos 20 o . 3 Include a +(150 N) sin 20 o  term in the  y  equation. x x :  (150 N)  =  (45 kg)  a x y :  N  – (45 kg)(10 m/s 2 )  =  (45 kg) 0 4 Both (1) and (3) need  corrections. 5 Both (2) and (3) need  corrections.
Marsha pulls a sled on ice (no friction). The rope exerts a 150-N force at an angle of 20 0  above horizontal. The mass of the sled and her brother is 45 kg. g = 10 m/s 2 .  Stacey represented this situation pictorially and mathematically. Did the student mislabel or forget to include anything?   1 (150 N) should be  (150 N) sin 20 o . 2 (150 N) should be  (150 N) cos 20 o . 3 Include a +(150 N) sin 20 o  term in the  y  equation. x x :  (150 N)  =  (45 kg)  a x y :  N  – (45 kg)(10 m/s 2 )  =  (45 kg) 0 4 Both (1) and (3) need  corrections. 5 Both (2) and (3) need  corrections.
What are the missing signs? x :  (150 N) cos 20 o  =  (45 kg)  a x y :  __  N   __  (45 kg)(10 m/s 2 )  __  (150 N) sin 20 o  = 0 1 + – + 2 + + –  3 – – +  4 – – – 5 + + + Steve pulls a sled on ice (no friction) with a 150-N force at an angle of 20 0 .  The mass of the sled and her brother is 45 kg.  g = 10 m/s 2 .  Stacey  represented this pictorially and mathematically. x o
What are the missing signs? x :  (150 N) cos 20 o  =  (45 kg)  a x y :  __  N   __  (45 kg)(10 m/s 2 )  __  (150 N) sin 20 o  = 0 1 + – + 2 + + –  3 – – +  4 – – – 5 + + + Steve pulls a sled on ice (no friction) with a 150-N force at an angle of 20 0 .  The mass of the sled and her brother is 45 kg.  g = 10 m/s 2 .  Stacey  represented this pictorially and mathematically. x o
Which diagram best represents the forces exerted on the car by the Earth and the Earth’s surface?  The motion of a car is represented with the motion diagram below. x y 4 o x x y 1 x y 2 x y 3 x y 5
Which diagram best represents the forces exerted on the car by the Earth and the Earth’s surface?  The motion of a car is represented with the motion diagram below. x y 4 o x x y 1 x y 2 x y 3 x y 5
Which word description below best matches the above mathematical description?  ,[object Object],[object Object],[object Object],[object Object],[object Object],x :  0 – (0.80 N) = (1000 kg)   a x y :  N  – (1000 kg)(10 m/s 2 )  =  (1000 kg) 0 0 – 16 m/s =  a x  t
Which word description below best matches the above mathematical description?  ,[object Object],[object Object],[object Object],[object Object],[object Object],x :  0 – (0.80 N) = (1000 kg)   a x y :  N  – (1000 kg)(10 m/s 2 )  =  (1000 kg) 0 0 – 16 m/s =  a x  t
Which FBD best represents the above motion diagram for a car?  x y 2 x y 1 x y 3 x y 4
Which FBD best represents the above motion diagram for a car?  x y 2 x y 1 x y 3 x y 4
1 5 Either 2 or 4 are possible 4 2 3 Which motion diagram best represents the situation shown in the free-body diagram?
1 5 Either 2 or 4 are possible 4 2 3 Which motion diagram best represents the situation shown in the free-body diagram?
1 Which FBD below best represents the forces exerted on the ball as it moves DOWN (ignore air resistance)? 2 3 4
1 Which FBD below best represents the forces exerted on the ball as it moves DOWN (ignore air resistance)? 2 3 4
1 Which FBD below best represents the forces exerted on the ball at the TOP of its path? 2 3 4 5 No forces are exerted on  the ball
1 Which FBD below best represents the forces exerted on the ball at the TOP of its path? 2 3 4 5 No forces are exerted on  the ball
x y Which speed versus time chart best represents this situation? 1 2 3 v t v t v t
x y Which speed versus time chart best represents this situation? 1 2 3 v t v t v t

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Interpreting Free Body Diagrams

  • 1. Mary pulls on a lawnmower parallel to the ground. The mower moves at a constant speed up the hill. 1 3 4 Which free body diagram best represents the forces on the mower? x y x y x y x y 2
  • 2. Mary pulls on a lawnmower parallel to the ground. The mower moves at a constant speed up the hill. 1 3 4 Which free body diagram best represents the forces on the mower? x y x y x y x y 2
  • 3. Stacey pulls a mower at 40-degrees relative to the ground. 1 2 3 4 Which free body diagram best represents the forces on the mower? x 40 0 y y x 40 0 x y 40 0 y x 40 0
  • 4. Stacey pulls a mower at 40-degrees relative to the ground. 1 2 3 4 Which free body diagram best represents the forces on the mower? x 40 0 y y x 40 0 x y 40 0 y x 40 0
  • 5. Marsha pulls a sled on ice (no friction). The rope exerts a 150-N force at an angle of 20 0 above horizontal. The mass of the sled and her brother is 45 kg. g = 10 m/s 2 . Stacey represented this situation pictorially and mathematically. Did the student mislabel or forget to include anything? 1 (150 N) should be (150 N) sin 20 o . 2 (150 N) should be (150 N) cos 20 o . 3 Include a +(150 N) sin 20 o term in the y equation. x x : (150 N) = (45 kg) a x y : N – (45 kg)(10 m/s 2 ) = (45 kg) 0 4 Both (1) and (3) need corrections. 5 Both (2) and (3) need corrections.
  • 6. Marsha pulls a sled on ice (no friction). The rope exerts a 150-N force at an angle of 20 0 above horizontal. The mass of the sled and her brother is 45 kg. g = 10 m/s 2 . Stacey represented this situation pictorially and mathematically. Did the student mislabel or forget to include anything? 1 (150 N) should be (150 N) sin 20 o . 2 (150 N) should be (150 N) cos 20 o . 3 Include a +(150 N) sin 20 o term in the y equation. x x : (150 N) = (45 kg) a x y : N – (45 kg)(10 m/s 2 ) = (45 kg) 0 4 Both (1) and (3) need corrections. 5 Both (2) and (3) need corrections.
  • 7. What are the missing signs? x : (150 N) cos 20 o = (45 kg) a x y : __ N __ (45 kg)(10 m/s 2 ) __ (150 N) sin 20 o = 0 1 + – + 2 + + – 3 – – + 4 – – – 5 + + + Steve pulls a sled on ice (no friction) with a 150-N force at an angle of 20 0 . The mass of the sled and her brother is 45 kg. g = 10 m/s 2 . Stacey represented this pictorially and mathematically. x o
  • 8. What are the missing signs? x : (150 N) cos 20 o = (45 kg) a x y : __ N __ (45 kg)(10 m/s 2 ) __ (150 N) sin 20 o = 0 1 + – + 2 + + – 3 – – + 4 – – – 5 + + + Steve pulls a sled on ice (no friction) with a 150-N force at an angle of 20 0 . The mass of the sled and her brother is 45 kg. g = 10 m/s 2 . Stacey represented this pictorially and mathematically. x o
  • 9. Which diagram best represents the forces exerted on the car by the Earth and the Earth’s surface? The motion of a car is represented with the motion diagram below. x y 4 o x x y 1 x y 2 x y 3 x y 5
  • 10. Which diagram best represents the forces exerted on the car by the Earth and the Earth’s surface? The motion of a car is represented with the motion diagram below. x y 4 o x x y 1 x y 2 x y 3 x y 5
  • 11.
  • 12.
  • 13. Which FBD best represents the above motion diagram for a car? x y 2 x y 1 x y 3 x y 4
  • 14. Which FBD best represents the above motion diagram for a car? x y 2 x y 1 x y 3 x y 4
  • 15. 1 5 Either 2 or 4 are possible 4 2 3 Which motion diagram best represents the situation shown in the free-body diagram?
  • 16. 1 5 Either 2 or 4 are possible 4 2 3 Which motion diagram best represents the situation shown in the free-body diagram?
  • 17. 1 Which FBD below best represents the forces exerted on the ball as it moves DOWN (ignore air resistance)? 2 3 4
  • 18. 1 Which FBD below best represents the forces exerted on the ball as it moves DOWN (ignore air resistance)? 2 3 4
  • 19. 1 Which FBD below best represents the forces exerted on the ball at the TOP of its path? 2 3 4 5 No forces are exerted on the ball
  • 20. 1 Which FBD below best represents the forces exerted on the ball at the TOP of its path? 2 3 4 5 No forces are exerted on the ball
  • 21. x y Which speed versus time chart best represents this situation? 1 2 3 v t v t v t
  • 22. x y Which speed versus time chart best represents this situation? 1 2 3 v t v t v t