a child causes a wagon to accelerate by pulling it with a horizontal force. newton's third law says that the wagon exerts an equal and opposite force on the child. how can the wagon accelerate? (hint: draw a free-body diagram for each object.)

The wagon is indeed pulling on the child. However, the wagons pull is caused by the inertia of the wagon itself, and the forcepulling back on the child is equal to masswagon*acceleration.

To understand how the wagon accelerates even when the child exerts an equal and opposite force on it, let's analyze the situation using Newton's laws of motion and draw free-body diagrams for the child and the wagon.

1. Free-body diagram for the child:
The child experiences two forces:
- The force of gravity, acting downward (represented by the weight arrow).
- The force exerted by the wagon, acting to the right (represented by the horizontal force arrow).

F(horizontal force)
--->
--------
| Child |
| |
| |
| |
--------
F(weight)

2. Free-body diagram for the wagon:
The wagon also experiences two forces:
- The force exerted by the child, acting to the left (represented by the horizontal force arrow).
- The force of friction, acting to the left (represented by the friction arrow). Friction opposes the motion of the wagon and depends on the nature of the surfaces in contact.

F(friction) <--- F(child force)
| --->
--------
| Wagon |
| |
| |
| |
--------

According to Newton's third law, the force exerted by the child on the wagon is equal in magnitude but opposite in direction to the force exerted by the wagon on the child. Therefore, the forces cancel each other out.

However, the wagon experiences another force, the force of friction, which acts in the opposite direction to the force applied by the child. If the force of friction is less than the force applied by the child, there is a net force acting on the wagon in the forward direction.

This net force causes the wagon to accelerate according to Newton's second law, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. In this case, the wagon's mass is relatively larger than the child's mass, so the acceleration is more noticeable on the wagon.

In summary, while the child and the wagon exert equal and opposite forces on each other, the net force on the wagon is not zero due to the presence of friction. Consequently, the wagon can accelerate.

Inspirational Bible Verses - Read inspirational quotes and Scripture from the Bible that can help encourage you in times of doubt, loss, mourning, sadness, or hopelessness. The Holy Bible has many passages that can uplift your mind and heart, giving you the strength you need to get through each day.

2 Timothy 3:16 tells us that ALL Scripture is inspired by God and useful for teaching, rebuking, correcting, and training in righteousness. The Bible is a work of God that was written by human men that were inspired by God. What better source of inspiration than our Creator! Whether you are looking for motivation, encouragement, reassurance, or peace, the Bible should be the first resource you turn to!

Below is a collection of inspirational Bible verses that can lead you into a deeper understanding of who God is and what His plan is for your life. He wants to "prosper you and not to harm you, to give hope and a future" (Jeremiah 29:11) You can also send these to a family member or friend in need and be assured that God can work miracles when we choose to believe His promises! Use these verses to be inspired and motivated to continue believing and having faith!

For more encouragement read 30 Inspiring Christian Quotes at Crosswalk.com. These quotes will point you back to Christ and challenge you to bring Jesus into every area of your life!

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Jeremiah 29:11
11 For I know the plans I have for you,” declares the LORD, “plans to prosper you and not to harm you, plans to give you hope and a future.
Psalm 27:4
4 One thing I ask from the LORD, this only do I seek: that I may dwell in the house of the LORD all the days of my life, to gaze on the beauty of the LORD and to seek him in his temple.
Psalm 34:8
8 Taste and see that the LORD is good; blessed is the one who takes refuge in him.
Proverbs 17:17
17 A friend loves at all times, and a brother is born for a time of adversity.
Isaiah 40:28-31
28 Do you not know? Have you not heard? The LORD is the everlasting God, the Creator of the ends of the earth. He will not grow tired or weary, and his understanding no one can fathom. 29 He gives strength to the weary and increases the power of the weak. 30 Even youths grow tired and weary, and young men stumble and fall; 31 but those who hope in the LORD will renew their strength. They will soar on wings like eagles; they will run and not grow weary, they will walk and not be faint.
John 15:13
13 Greater love has no one than this: to lay down one’s life for one’s friends.
Romans 8:28
28 And we know that in all things God works for the good of those who love him, who have been called according to his purpose.
Romans 8:31
31 What, then, shall we say in response to these things? If God is for us, who can be against us?
Romans 15:13
13 May the God of hope fill you with all joy and peace as you trust in him, so that you may overflow with hope by the power of the Holy Spirit.
Romans 8:38-39
38 For I am convinced that neither death nor life, neither angels nor demons, neither the present nor the future, nor any powers, 39 neither height nor depth, nor anything else in all creation, will be able to separate us from the love of God that is in Christ Jesus our Lord.
1 Corinthians 13:12
12 For now we see only a reflection as in a mirror; then we shall see face to face. Now I know in part; then I shall know fully, even as I am fully known.
Lamentations 3:22-23
22 Because of the LORD’s great love we are not consumed, for his compassions never fail. 23 They are new every morning; great is your faithfulness.
2 Corinthians 4:16-18
16 Therefore we do not lose heart. Though outwardly we are wasting away, yet inwardly we are being renewed day by day. 17 For our light and momentary troubles are achieving for us an eternal glory that far outweighs them all. 18 So we fix our eyes not on what is seen, but on what is unseen, since what is seen is temporary, but what is unseen is eternal.
1 Corinthians 16:13
13 Be on your guard; stand firm in the faith; be courageous; be strong.
Philippians 3:7-9
7 But whatever were gains to me I now consider loss for the sake of Christ. 8 What is more, I consider everything a loss because of the surpassing worth of knowing Christ Jesus my Lord, for whose sake I have lost all things. I consider them garbage, that I may gain Christ 9 and be found in him, not having a righteousness of my own that comes from the law, but that which is through faith in Christ—the righteousness that comes from God on the basis of faith.
Ephesians 3:17-21
17 so that Christ may dwell in your hearts through faith. And I pray that you, being rooted and established in love, 18 may have power, together with all the Lord’s holy people, to grasp how wide and long and high and deep is the love of Christ, 19 and to know this love that surpasses knowledge—that you may be filled to the measure of all the fullness of God. 20 Now to him who is able to do immeasurably more than all we ask or imagine, according to his power that is at work within us, 21 to him be glory in the church and in Christ Jesus throughout all generations, for ever and ever! Amen.
1 John 3:22
22 and receive from him anything we ask, because we keep his commands and do what pleases him.
1 John 3:1-3
1 See what great love the Father has lavished on us, that we should be called children of God! And that is what we are! The reason the world does not know us is that it did not know him. 2 Dear friends, now we are children of God, and what we will be has not yet been made known. But we know that when Christ appears, we shall be like him, for we shall see him as he is. 3 All who have this hope in him purify themselves, just as he is pure.
Hebrews 10:19-23
19 Therefore, brothers and sisters, since we have confidence to enter the Most Holy Place by the blood of Jesus, 20 by a new and living way opened for us through the curtain, that is, his body, 21 and since we have a great priest over the house of God, 22 let us draw near to God with a sincere heart and with the full assurance that faith brings, having our hearts sprinkled to cleanse us from a guilty conscience and having our bodies washed with pure water. 23 Let us hold unswervingly to the hope we profess, for he who promised is faithful.
1 Peter 2:9-11
9 But you are a chosen people, a royal priesthood, a holy nation, God’s special possession, that you may declare the praises of him who called you out of darkness into his wonderful light. 10 Once you were not a people, but now you are the people of God; once you had not received mercy, but now you have received mercy. 11 Dear friends, I urge you, as foreigners and exiles, to abstain from sinful desires, which wage war against your soul.
James 1:2-4
2 Consider it pure joy, my brothers and sisters, whenever you face trials of many kinds, 3 because you know that the testing of your faith produces perseverance. 4 Let perseverance finish its work so that you may be mature and complete, not lacking anything.
Romans 1:17
17 For in the gospel the righteousness of God is revealed—a righteousness that is by faith from first to last, just as it is written: “The righteous will live by faith.”
Deuteronomy 31:6
6 Be strong and courageous. Do not be afraid or terrified because of them, for the LORD your God goes with you; he will never leave you nor forsake you.”
Psalm 23:1
1 The LORD is my shepherd, I lack nothing.
Joshua 1:7
7 “Be strong and very courageous. Be careful to obey all the law my servant Moses gave you; do not turn from it to the right or to the left, that you may be successful wherever you go.
1 Corinthians 15:58
58 Therefore, my dear brothers and sisters, stand firm. Let nothing move you. Always give yourselves fully to the work of the Lord, because you know that your labor in the Lord is not in vain.
Hebrews 12:1-2
1 Therefore, since we are surrounded by such a great cloud of witnesses, let us throw off everything that hinders and the sin that so easily entangles. And let us run with perseverance the race marked out for us, 2 fixing our eyes on Jesus, the pioneer and perfecter of faith. For the joy set before him he endured the cross, scorning its shame, and sat down at the right hand of the throne of God.

Yes you are all losers

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