Question 1

Given the system of equations $$150 - y = 10x$$ and $$y = 5x$$, what is the value of $$x$$ that satisfies both equations?

Accepted Answer

$$x = 10$$

Question 2

In a scenario where a hand pushes on box A with a force of 150 N and box A is in contact with box B, which force pair correctly represents Newton's third law?

Accepted Answer

The force by box A pushing on box B and the force by box B pushing back on box A

Question 3

If two blocks, A (10 kg) and B (5 kg), are pushed together by a hand with 150 N and friction is ignored, what is the acceleration of the system?

Accepted Answer

$$a = 10 	ext{ m/s}^2$$

Question 4

Which of the following statements about force pairs is correct according to Newton's third law?

Accepted Answer

Force pairs act on different objects and are equal in magnitude but opposite in direction

Question 5

A scale is placed between a 5 kg box and a 10 kg box inside an elevator that is slowing down at $$2 	ext{ m/s}^2$$ upward. What will the scale read?

Accepted Answer

$$40 	ext{ N}$$

Question 6

In a tug-o-war scenario with equal masses pulled equally hard in both directions, what can be said about the force pairs between the carts?

Accepted Answer

The force pairs are equal in magnitude and opposite in direction

Question 7

When analyzing a system with a string and pulley, under what conditions will the tension be nearly the same on both sides of the string?

Accepted Answer

When the string and pulley have negligible mass and friction compared to the objects

Question 8

A block is being held in place by a rope. How does the tension in the rope compare to the weight of the hanging block?

Accepted Answer

$$T = mg$$

Question 9

A block is allowed to accelerate downward while attached to a rope. How does the tension in the rope compare to the weight of the hanging block?

Accepted Answer

$$T \u003c mg$$

Question 10

In a collision scenario with equal masses and equal speeds, what can be said about the force pairs during the collision?

Accepted Answer

The force pairs are equal in magnitude and opposite in direction

Question 11

If two blocks move together with zero acceleration, what is true about the force pairs between them?

Accepted Answer

The force pairs are equal in magnitude and opposite in direction

Question 12

In a system with a massless string and frictionless pulley, a hanging block and a sliding block are connected. How do their accelerations compare?

Accepted Answer

They each have the same acceleration

Question 13

Which of the following is NOT a force pair according to Newton's third law?

Accepted Answer

The tension of the string and the friction force acting on A

Question 14

A hand pushes on box A. What is the force pair of the force exerted by the hand on box A?

Accepted Answer

The force by box A pushing back on the hand

Question 15

If a scale is placed beneath the bottom box in an elevator slowing down at $$2 	ext{ m/s}^2$$ upward, what will the scale read for a 5 kg box stacked on a 10 kg box?

Accepted Answer

$$140 	ext{ N}$$

Question 16

In a scenario with two blocks pressed together and moving as one, what is the best method to solve for the force pair and acceleration?

Accepted Answer

Solve the system of equations using algebraic substitution

Question 17

Which statement best describes the members of an action/reaction pair according to Newton's third law?

Accepted Answer

They act on different objects and are equal in magnitude but opposite in direction

Question 18

In a pulley system with $$M = 1.5 	ext{ kg}$$ and $$m = 0.5 	ext{ kg}$$, friction is negligible and both string and pulley are ideal. What is the acceleration of the system?

Accepted Answer

$$a = \frac{m}{M+m}g$$

Question 19

When two objects collide with equally stiff bumpers and equal speeds, what is true about the forces during the collision?

Accepted Answer

The forces are equal in magnitude and opposite in direction

EXAM #3 DAY 16: Interacting Objects and Newton’s Third Law: Force Pairs, Free-Body Diagrams, and Multiple Object Systems

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