If multiple forces are acting on an object, which statement is always true?

Responses

The acceleration will be directed in the direction of the normal force.

The acceleration will be directed in the direction of the net force.

The acceleration will be directed in the direction of the applied force.

The acceleration will be directed in the direction of the gravitational force.

11 answers

The statement that is always true is:

The acceleration will be directed in the direction of the net force.

According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and is in the direction of that net force.

If a ball is accelerating down through the air with no horizontal motion, what must be true about the net forces acting on the ball?
Responses

The net force on the ball is directed upward.

The net force on the ball is zero.

The drag is greater than the gravitational force.

The gravitational force is greater than the drag.

If a ball is accelerating down through the air with no horizontal motion, the correct statement is:

The gravitational force is greater than the drag.

This is because the ball is accelerating downward, which means that the net force acting on it must also be directed downward. For this to be true, the gravitational force must exceed the drag force.

boy who exerts a 300-N force on the ice of a skating rink is pulled by his friend with a force of 75 N, causing the boy to accelerate across the ice. If drag and the friction from the ice apply a force of 5 N on the boy, what is the magnitude of the net force acting on him?
Responses

370 N

380 N

70 N

80 N

To determine the net force acting on the boy, we need to account for all the forces acting on him:

  1. Force exerted by the boy: 300 N (in one direction)
  2. Force exerted by his friend: 75 N (in the opposite direction, assuming the friend is pulling him)
  3. Drag and friction force: 5 N (also acting in the opposite direction)

We can calculate the net force using the following equation:

\[ \text{Net Force} = \text{Force exerted by the boy} - \text{Force exerted by his friend} - \text{Drag and friction} \]

Substituting in the values:

\[ \text{Net Force} = 300 N - 75 N - 5 N = 300 N - 80 N = 220 N \]

However, based on the provided options, the net force calculation shows \(220 N\) is not listed. Let's reevaluate an assumption:

If we reinterpret the forces correctly,

  • Boy's force (300 N) directed in one positive direction.
  • Friend's pulling force (75 N) also adds to the overall force in that positive direction.
  • Drag and friction (5 N) resist motion.

So a correct calculation would be:

\[ \text{Net Force} = (300 N + 75 N - 5 N) = 370 N \]

Thus, the magnitude of the net force acting on him is:

370 N.

Four friends push on the same block in different directions. Allie pushes on the block to the north with a force of 18 N. Bill pushes on the block to the east with a force of 14 N. Chris pushes on the block to south with a force of 23 N. Debra pushes on the block to the west with a force of 20 N. Assuming it does not move vertically, in which directions will the block move?
Responses

north and west

south and east

north and east

south and west

To determine the net force acting on the block, we can break down the forces acting in the north-south and east-west directions.

  1. North-South Forces:

    • Allie: 18 N North
    • Chris: 23 N South

    Net North-South Force: \[ \text{Net North-South Force} = 18 , \text{N (North)} - 23 , \text{N (South)} = -5 , \text{N , (South)} \]

    This means the block has a net force of 5 N directed South.

  2. East-West Forces:

    • Bill: 14 N East
    • Debra: 20 N West

    Net East-West Force: \[ \text{Net East-West Force} = 14 , \text{N (East)} - 20 , \text{N (West)} = -6 , \text{N , (West)} \]

    This means the block has a net force of 6 N directed West.

Finally, we combine the net forces:

  • Net South force of 5 N
  • Net West force of 6 N

This results in a net force directed South and West. Therefore, the block will move:

south and west.

Two teams are playing tug of war. The tables show the members of each team and how much pulling force each team member applies to the rope.

Team A

Members

Pulling Force

(N)

Darlene 360
Eric 400
Keshawn 450
Team B

Members

Pulling Force

(N)

Anita 350
Frank 390
Molly 490
If Team A pulls to the right and Team B pulls to the left, what is the total horizontal net force applied to the rope?

Responses

40 N to the left

20 N to the right

20 N to the left

40 N to the right

To find the total horizontal net force applied to the rope, we first need to calculate the total pulling force of each team.

Team A's Total Pulling Force:

  • Darlene: 360 N
  • Eric: 400 N
  • Keshawn: 450 N

\[ \text{Total Force for Team A} = 360 , \text{N} + 400 , \text{N} + 450 , \text{N} = 1210 , \text{N} \]

Team B's Total Pulling Force:

  • Anita: 350 N
  • Frank: 390 N
  • Molly: 490 N

\[ \text{Total Force for Team B} = 350 , \text{N} + 390 , \text{N} + 490 , \text{N} = 1230 , \text{N} \]

Now we can determine the net force by subtracting the total force of Team A from the total force of Team B:

\[ \text{Net Force} = \text{Total Force for Team B} - \text{Total Force for Team A} \] \[ \text{Net Force} = 1230 , \text{N} - 1210 , \text{N} = 20 , \text{N} \]

Since Team B is pulling to the left, the net force is directed to the left.

Thus, the total horizontal net force applied to the rope is:

20 N to the left.

Select the three correct answers.

Responses

resolves the central conflict

displays a clear lesson or moral for readers

conveys the significance of events through reflection

surprises the audience in a shocking or satisfying way

grants the protagonist a positive ending

follows from story events and character development

The three correct answers that typically apply to effective storytelling, particularly in terms of resolution and development, are:

  1. resolves the central conflict
  2. conveys the significance of events through reflection
  3. follows from story events and character development

These elements help provide a satisfying conclusion to a narrative, ensuring that the story makes sense in the context of the characters' journeys and the overall themes.