1. Two teams of nine members each engage in a tug of war. Each of the first team's members has an average mass of 66 kg and exerts an average force of 1356 N horizontally. Each of the second team's members has an average mass of 72 kg and exerts an average force of 1366 N horizontally. f... m₁ a = Enter to 2 significant figures ܕܐ ܕܐ ܐ ܐ... Consider: It will be helpful to define a system first. The system can be members of both teams and the rope. When members push against the ground, the ground pushes back on them in the opposite direction. For example, when a member from team 1 pulls the rope towards the left, their feet pushes the ground to the right. The ground pushes back with the same force towards the left. m/s² m₁ m₂ For the system made of members of both teams and the rope, what are the external forces. Draw a free body diagram on a scratch paper to illustrate. m₂ m₂ (a) What is the acceleration of the two teams? Give this as a positive value. Enter to 2 significant figures T= F N 12 (b) What is the tension in the section of rope between the teams? Help: For this part, it may be useful to define the system to be one team and the rope. Identify the external forces on the system.

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Chapter1: Units, Trigonometry. And Vectors
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1.
Two teams of nine members each engage in a tug of war. Each of the first team's members
has an average mass of 66 kg and exerts an average force of 1356 N horizontally. Each of the
second team's members has an average mass of 72 kg and exerts an average force of 1366 N
horizontally.
...hhhh...
oooooooooooooooooo
hi....
m₁...
a =
Enter to 2 significant figures
F₂
Consider: It will be helpful to define a system first. The system can be members of both teams
and the rope. When members push against the ground, the ground pushes back on them in
the opposite direction. For example, when a member from team 1 pulls the rope towards the
left, their feet pushes the ground to the right. The ground pushes back with the same force
towards the left.
ܕܐ
For the system made of members of both teams and the rope, what are the external forces.
Draw a free body diagram on a scratch paper to illustrate.
✔m/s²
F
(a) What is the acceleration of the two teams? Give this as a positive value.
1₂
Enter to 2 significant figures
T=
✔N
(b) What is the tension in the section of rope between the teams? Help: For this part, it may be
useful to define the system to be one team and the rope. Identify the external forces on the
system.
Transcribed Image Text:1. Two teams of nine members each engage in a tug of war. Each of the first team's members has an average mass of 66 kg and exerts an average force of 1356 N horizontally. Each of the second team's members has an average mass of 72 kg and exerts an average force of 1366 N horizontally. ...hhhh... oooooooooooooooooo hi.... m₁... a = Enter to 2 significant figures F₂ Consider: It will be helpful to define a system first. The system can be members of both teams and the rope. When members push against the ground, the ground pushes back on them in the opposite direction. For example, when a member from team 1 pulls the rope towards the left, their feet pushes the ground to the right. The ground pushes back with the same force towards the left. ܕܐ For the system made of members of both teams and the rope, what are the external forces. Draw a free body diagram on a scratch paper to illustrate. ✔m/s² F (a) What is the acceleration of the two teams? Give this as a positive value. 1₂ Enter to 2 significant figures T= ✔N (b) What is the tension in the section of rope between the teams? Help: For this part, it may be useful to define the system to be one team and the rope. Identify the external forces on the system.
1.
f
?
f= 7.5 N
a =
?
0 =
Enter to 2 significant figures
✔m/s²
Free-body diagram
F₁
F₁
F₂
degrees
F₁ = 10 N
Two children pull a third child on a snow saucer sled exerting forces F₁ and F₂ as shown
above in the figure. Find the acceleration a and direction of the 52-kg sled and child system.
Note that the direction of the frictional force f is unspecified; it will be in the opposite direction
of the sum of F₁ and F₂.
Think and Prepare
45°
1. Friction acts opposite the intended motion of snow saucer.
2. Given F₁ and F2, what direction will the saucer move if initially at rest? In the direction of F₁
? In the direction of F₂? Or in the direction of the resultant of F₁ and F₂?
30°
3. In what direction will friction act? Opposite F₁? Opposite F₂? Or opposite the resultant of F₁
and F₂?
F₂ = 8 N
Transcribed Image Text:1. f ? f= 7.5 N a = ? 0 = Enter to 2 significant figures ✔m/s² Free-body diagram F₁ F₁ F₂ degrees F₁ = 10 N Two children pull a third child on a snow saucer sled exerting forces F₁ and F₂ as shown above in the figure. Find the acceleration a and direction of the 52-kg sled and child system. Note that the direction of the frictional force f is unspecified; it will be in the opposite direction of the sum of F₁ and F₂. Think and Prepare 45° 1. Friction acts opposite the intended motion of snow saucer. 2. Given F₁ and F2, what direction will the saucer move if initially at rest? In the direction of F₁ ? In the direction of F₂? Or in the direction of the resultant of F₁ and F₂? 30° 3. In what direction will friction act? Opposite F₁? Opposite F₂? Or opposite the resultant of F₁ and F₂? F₂ = 8 N
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