In which situation is the magnitude of the total force greater than the magnitude of each of the individual forces?(1 point) Responses Four people stand on each side of a large box. All four people pull the box with the same amount of force. Four people stand on each side of a large box. All four people pull the box with the same amount of force. Four people stand on each side of a large box. All four people push the box with the same amount of force. Four people stand on each side of a large box. All four people push the box with the same amount of force. Two people stand on opposite sides of a large box. One pushes, and the other pulls with the same amount of force. Two people stand on opposite sides of a large box. One pushes, and the other pulls with the same amount of force. Two people stand on the same side of a large box. One pushes, and the other pulls with the same amount of force.

11 answers

The situation in which the magnitude of the total force is greater than the magnitude of each of the individual forces occurs when two people stand on the same side of a large box. One pushes, and the other pulls with the same amount of force.

In this case, the pulling force and the pushing force are acting in the same direction, effectively combining their magnitudes. Hence, the total force exerted on the box is greater than each individual force.

What is a newton?(1 point) Responses a non-contact force a non-contact force a force that pulls objects toward the ground a force that pulls objects toward the ground a force that changes the motion of an object a force that changes the motion of an object the unit in which force is measured

A newton is the unit in which force is measured.

A tennis player swings and hits the ball away. How does the force of the tennis racket affect the motion of the ball?(1 point) Responses It does not change the speed or the direction of the ball. It does not change the speed or the direction of the ball. It changes both the direction and the speed of the ball. It changes both the direction and the speed of the ball. It changes the speed of the ball but not the direction. It changes the speed of the ball but not the direction. It changes the direction of the ball but not the speed.

The correct response is: It changes both the direction and the speed of the ball.

When the tennis racket hits the ball, it alters the ball's speed and changes its direction, sending it away from the player.

What is the momentum of an object?(1 point) Responses the velocity of the object the velocity of the object the rate of change in the velocity of an object the rate of change in the velocity of an object the state of motion of an object with mass the state of motion of an object with mass the net force acting on the object

The correct response is: the state of motion of an object with mass.

Momentum is defined as the product of an object's mass and its velocity, and it reflects the state of motion of the object. However, it can also be considered as a measure related to both the mass and velocity of the object. The options provided do not explicitly mention mass and velocity, but "the state of motion of an object with mass" captures the essence of what momentum is about.

Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change? Linear Function 1: y=15x+8 Linear Function 2: x y 5 26 13 34 (1 point) Responses Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 15. Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 15. Linear Function 1 has the greater rate of change, with a rate of change equal to 8 while Linear Function 2 has a rate of change equal to 1. Linear Function 1 has the greater rate of change, with a rate of change equal to 8 while Linear Function 2 has a rate of change equal to 1. Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 8. Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 8. Linear Function 1 has the greater rate of change, with a rate of change equal to 15 while Linear Function 2 has a rate of change equal to 1.

To find the rate of change (slope) for the given linear functions, we can analyze them as follows:

  1. Linear Function 1:
    \( y = 15x + 8 \)
    The coefficient of \( x \) is 15, so the rate of change for Linear Function 1 is 15.

  2. Linear Function 2:
    To determine the rate of change for Linear Function 2 given the points (5, 26) and (13, 34):

    • Change in \( y \) (Δy): \( 34 - 26 = 8 \)
    • Change in \( x \) (Δx): \( 13 - 5 = 8 \)
    • Rate of change (slope) = \( \frac{Δy}{Δx} = \frac{8}{8} = 1 \)

Now, comparing the rates of change:

  • Linear Function 1: 15
  • Linear Function 2: 1

The response would be: Linear Function 1 has the greater rate of change, with a rate of change equal to 15 while Linear Function 2 has a rate of change equal to 1.

Compare Linear Function 1 with Linear Function 2. Which one has the lesser initial value? Linear Function 1: Lionel’s cell phone plan costs $45 per month. Linear Function 2: The relationship between the number of months Ruby has had her cell phone (x) and the total cost (y) is given by y=40x+60 . (1 point) Responses Linear Function 2 has the lesser initial value, with an initial value equal to $40 while Linear Function 1 has an initial value equal to $45. Linear Function 2 has the lesser initial value, with an initial value equal to $40 while Linear Function 1 has an initial value equal to $45. Linear Function 1 has the lesser initial value, with an initial value equal to $0 while Linear Function 2 has an initial value equal to $40. Linear Function 1 has the lesser initial value, with an initial value equal to $0 while Linear Function 2 has an initial value equal to $40. Linear Function 1 has the lesser initial value, with an initial value equal to $45 while Linear Function 2 has an initial value equal to $60. Linear Function 1 has the lesser initial value, with an initial value equal to $45 while Linear Function 2 has an initial value equal to $60. Linear Function 1 has the lesser initial value, with an initial value equal to $0 while Linear Function 2 has an initial value equal to $60.

To compare the initial values of the two linear functions:

  1. Linear Function 1:
    Lionel’s cell phone plan costs $45 per month. The initial value (the cost when \( x = 0 \), i.e., the cost before any month of service) is $45.

  2. Linear Function 2:
    The relationship is given by the equation \( y = 40x + 60 \).
    Here, the initial value (the cost when \( x = 0 \)) is the constant term in the equation, which is $60.

Now comparing the two initial values:

  • Linear Function 1: \($45\)
  • Linear Function 2: \($60\)

The response would be: Linear Function 1 has the lesser initial value, with an initial value equal to $45 while Linear Function 2 has an initial value equal to $60.