a car travels with a constant speed around a curve in the road. the curve is banked. which of the following forces is in the direction of the net force on the car?
a. the x-component of the force of gravity
b. the frictional force
c. the x-component of the normal force
d. the force of gravity
e. the centrifugal force
b. the frictional force
Summarize
Hunaruan looked out across the fields, his face grave. He sighed in despair. "He may be mighty and great, but in the end he will suffer fate," he murmured to himself. His thoughts were interrupted as a messenger approached.
"Lord Hunaruan," he said, "the spies have returned. Redworn, King of the Redheads, brings at least 10,000 soldiers. This is too great for us, as our garrison only has 3,900."
"Were they caught?" asked Pumperin, who stood next to Hunaruan.
"Yes," answered the spy. "Two died, three survived, one of which is wounded. Now, the Redheads ride with all speed. The spies only made it through a shortcut."
The spy shrieked and fell back. "Look!" he cried. "Redworn and his troops are coming to bring us doom."
Hunaruan looked back and saw Redworn and his at least 10,000 troops. He ran down the old, ruined stairs and onto a lower battlement. He surveyed the ruins of the once-great city. All that remained untouched were the three great catapults.
"Perhaps these will bring us success," he thought. Then he cried aloud, "Sound the horn! Call for aid! Do not despair!"
The horn sounded loudly throughout the ruins of the city as the soldiers ran to their positions on the ruined walls. Some archers took their positions by the three catapults, and others prepared giant boulders to fire through the great catapults. The ruins were full of light as many torches were suddenly lit. Hunaruan gazed out at the setting sun with Pumperin by his side. He sighed and turned to Pumperin.
"If we are to die," he said, "let us die defending this once-great city." Then he ran down the steps and onto the front battlements, ready to face his enemy.
The Redheads had prepared large catapults and lines of archers that were ready. Redworn cried out, "Prepare! Ready to fire!" The archers faced the walls with their bows, but suddenly Nethstel shouted and the three great catapults fired with fire ablaze. The rocks fell, crushing many Redheads. Fire and dust flew through the air. The Redheads ran, and those who could not make it were crushed. Then the Redheads answered with flying rocks and singing bows. The already ruined walls fell apart where the heavy rocks of the Redheads landed. Archers fell from the walls and others were crushed.
"We must destroy their catapults before we are destroyed," cried Nethstel. "Aim for their catapults! Crush them!"
The great catapults fired. Fire hissed through the air and crushed some Redhead catapults. Wood and dust flew through the air, knocking down many Redheads. The Redheads countered with their heavy rocks, crushing many soldiers. The Redheads' rocks were covered in red paint.
"Look," said Pumperin. "They love red so much that they must paint their boulders red."
Nethstel cried again, "Fire the catapults!" The catapults fired, knocking down many Redheads. Hunaruan suddenly cried, "Where are the foot soldiers? The Redheads are ambushing us!" Suddenly, many Redheads fell upon the city, crying aloud. They struck the large gates but to no avail.
"Archers, fire!" cried Nethstel. "Bring the Redheads down!"
Arrows flew, knocking Redheads down. Redworn cried, "Fire the catapults!"
The Redheads suddenly fired their few remaining catapults. Fire flashed, and the great statue of Nubarana the first fell, crushing soldiers. The head rolled, pushing the gate open. It rolled over the Redheads, crushing them. The Redheads began to run, and the soldiers all ran to the gate, fighting the Redheads. But the strong Redheads easily beat down the Rowbins. Nethstel cried again, and the archers fired. Then Nethstel ran down the stairs. He drew his sword and slashed a Redhead down. Hunaruan ran over to the gate. He stood by the gate, slashing down the Redheads that neared him.
Hunaruan receives news that 10,000 soldiers led by Redworn are approaching their garrison of 3,900 soldiers. The garrison prepares for battle by using three great catapults and their archers. The Redheads also have their own catapults and archers. The two sides exchange fire with their catapults and arrows, with both sides taking casualties. The Redheads eventually manage to breach the gate with a large statue, but are ultimately repelled by the garrison's soldiers. Hunaruan and Nethstel both fight on the front lines.
Evaluate
Hunaruan looked out across the fields, his face grave. He sighed in despair. "He may be mighty and great, but in the end he will suffer fate," he murmured to himself. His thoughts were interrupted as a messenger approached.
"Lord Hunaruan," he said, "the spies have returned. Redworn, King of the Redheads, brings at least 10,000 soldiers. This is too great for us, as our garrison only has 3,900."
"Were they caught?" asked Pumperin, who stood next to Hunaruan.
"Yes," answered the spy. "Two died, three survived, one of which is wounded. Now, the Redheads ride with all speed. The spies only made it through a shortcut."
The spy shrieked and fell back. "Look!" he cried. "Redworn and his troops are coming to bring us doom."
Hunaruan looked back and saw Redworn and his at least 10,000 troops. He ran down the old, ruined stairs and onto a lower battlement. He surveyed the ruins of the once-great city. All that remained untouched were the three great catapults.
"Perhaps these will bring us success," he thought. Then he cried aloud, "Sound the horn! Call for aid! Do not despair!"
The horn sounded loudly throughout the ruins of the city as the soldiers ran to their positions on the ruined walls. Some archers took their positions by the three catapults, and others prepared giant boulders to fire through the great catapults. The ruins were full of light as many torches were suddenly lit. Hunaruan gazed out at the setting sun with Pumperin by his side. He sighed and turned to Pumperin.
"If we are to die," he said, "let us die defending this once-great city." Then he ran down the steps and onto the front battlements, ready to face his enemy.
The Redheads had prepared large catapults and lines of archers that were ready. Redworn cried out, "Prepare! Ready to fire!" The archers faced the walls with their bows, but suddenly Nethstel shouted and the three great catapults fired with fire ablaze. The rocks fell, crushing many Redheads. Fire and dust flew through the air. The Redheads ran, and those who could not make it were crushed. Then the Redheads answered with flying rocks and singing bows. The already ruined walls fell apart where the heavy rocks of the Redheads landed. Archers fell from the walls and others were crushed.
"We must destroy their catapults before we are destroyed," cried Nethstel. "Aim for their catapults! Crush them!"
The great catapults fired. Fire hissed through the air and crushed some Redhead catapults. Wood and dust flew through the air, knocking down many Redheads. The Redheads countered with their heavy rocks, crushing many soldiers. The Redheads' rocks were covered in red paint.
"Look," said Pumperin. "They love red so much that they must paint their boulders red."
Nethstel cried again, "Fire the catapults!" The catapults fired, knocking down many Redheads. Hunaruan suddenly cried, "Where are the foot soldiers? The Redheads are ambushing us!" Suddenly, many Redheads fell upon the city, crying aloud. They struck the large gates but to no avail.
"Archers, fire!" cried Nethstel. "Bring the Redheads down!"
Arrows flew, knocking Redheads down. Redworn cried, "Fire the catapults!"
The Redheads suddenly fired their few remaining catapults. Fire flashed, and the great statue of Nubarana the first fell, crushing soldiers. The head rolled, pushing the gate open. It rolled over the Redheads, crushing them. The Redheads began to run, and the soldiers all ran to the gate, fighting the Redheads. But the strong Redheads easily beat down the Rowbins. Nethstel cried again, and the archers fired. Then Nethstel ran down the stairs. He drew his sword and slashed a Redhead down. Hunaruan ran over to the gate. He stood by the gate, slashing down the Redheads that neared him.
This passage is a fictional account of a battle between Hunaruan's garrison and Redworn's army. Hunaruan and his soldiers use their three great catapults and archers to defend their city against the Redheads' attacks. Both sides take casualties and casualties increase as the Redheads breach the city's gates using a large statue. Hunaruan and Nethstel fight on the front lines. The passage highlights the bravery and determination of the defenders as they fight to protect their city. However, there is no historical context or factual basis for the events in the story.
Describe the scene
Hunaruan looked out across the fields, his face grave. He sighed in despair. "He may be mighty and great, but in the end he will suffer fate," he murmured to himself. His thoughts were interrupted as a messenger approached.
"Lord Hunaruan," he said, "the spies have returned. Redworn, King of the Redheads, brings at least 10,000 soldiers. This is too great for us, as our garrison only has 3,900."
"Were they caught?" asked Pumperin, who stood next to Hunaruan.
"Yes," answered the spy. "Two died, three survived, one of which is wounded. Now, the Redheads ride with all speed. The spies only made it through a shortcut."
The spy shrieked and fell back. "Look!" he cried. "Redworn and his troops are coming to bring us doom."
Hunaruan looked back and saw Redworn and his at least 10,000 troops. He ran down the old, ruined stairs and onto a lower battlement. He surveyed the ruins of the once-great city. All that remained untouched were the three great catapults.
"Perhaps these will bring us success," he thought. Then he cried aloud, "Sound the horn! Call for aid! Do not despair!"
The horn sounded loudly throughout the ruins of the city as the soldiers ran to their positions on the ruined walls. Some archers took their positions by the three catapults, and others prepared giant boulders to fire through the great catapults. The ruins were full of light as many torches were suddenly lit. Hunaruan gazed out at the setting sun with Pumperin by his side. He sighed and turned to Pumperin.
"If we are to die," he said, "let us die defending this once-great city." Then he ran down the steps and onto the front battlements, ready to face his enemy.
The Redheads had prepared large catapults and lines of archers that were ready. Redworn cried out, "Prepare! Ready to fire!" The archers faced the walls with their bows, but suddenly Nethstel shouted and the three great catapults fired with fire ablaze. The rocks fell, crushing many Redheads. Fire and dust flew through the air. The Redheads ran, and those who could not make it were crushed. Then the Redheads answered with flying rocks and singing bows. The already ruined walls fell apart where the heavy rocks of the Redheads landed. Archers fell from the walls and others were crushed.
"We must destroy their catapults before we are destroyed," cried Nethstel. "Aim for their catapults! Crush them!"
The great catapults fired. Fire hissed through the air and crushed some Redhead catapults. Wood and dust flew through the air, knocking down many Redheads. The Redheads countered with their heavy rocks, crushing many soldiers. The Redheads' rocks were covered in red paint.
"Look," said Pumperin. "They love red so much that they must paint their boulders red."
Nethstel cried again, "Fire the catapults!" The catapults fired, knocking down many Redheads. Hunaruan suddenly cried, "Where are the foot soldiers? The Redheads are ambushing us!" Suddenly, many Redheads fell upon the city, crying aloud. They struck the large gates but to no avail.
"Archers, fire!" cried Nethstel. "Bring the Redheads down!"
Arrows flew, knocking Redheads down. Redworn cried, "Fire the catapults!"
The Redheads suddenly fired their few remaining catapults. Fire flashed, and the great statue of Nubarana the first fell, crushing soldiers. The head rolled, pushing the gate open. It rolled over the Redheads, crushing them. The Redheads began to run, and the soldiers all ran to the gate, fighting the Redheads. But the strong Redheads easily beat down the Rowbins. Nethstel cried again, and the archers fired. Then Nethstel ran down the stairs. He drew his sword and slashed a Redhead down. Hunaruan ran over to the gate. He stood by the gate, slashing down the Redheads that neared him.
Hunaruan, Pumperin, and a messenger are at a ruined city when the messenger informs Hunaruan that Redworn and his army of at least 10,000 soldiers are approaching, outnumbering their garrison of 3,900 soldiers. Hunaruan prepares their catapults and archers for battle and sends out a call for aid. The soldiers take their positions on the walls as the Redheads prepare their own catapults and archers. The two sides exchange fire with fiery rocks and arrows, with both sides taking casualties. The Redheads eventually breach the city's gates using a large statue, but are eventually repelled by the defenders. Hunaruan, Pumperin, and Nethstel fight on the front lines.
Describe the intensity bravery and much of the scene
Hunaruan looked out across the fields, his face grave. He sighed in despair. "He may be mighty and great, but in the end he will suffer fate," he murmured to himself. His thoughts were interrupted as a messenger approached.
"Lord Hunaruan," he said, "the spies have returned. Redworn, King of the Redheads, brings at least 10,000 soldiers. This is too great for us, as our garrison only has 3,900."
"Were they caught?" asked Pumperin, who stood next to Hunaruan.
"Yes," answered the spy. "Two died, three survived, one of which is wounded. Now, the Redheads ride with all speed. The spies only made it through a shortcut."
The spy shrieked and fell back. "Look!" he cried. "Redworn and his troops are coming to bring us doom."
Hunaruan looked back and saw Redworn and his at least 10,000 troops. He ran down the old, ruined stairs and onto a lower battlement. He surveyed the ruins of the once-great city. All that remained untouched were the three great catapults.
"Perhaps these will bring us success," he thought. Then he cried aloud, "Sound the horn! Call for aid! Do not despair!"
The horn sounded loudly throughout the ruins of the city as the soldiers ran to their positions on the ruined walls. Some archers took their positions by the three catapults, and others prepared giant boulders to fire through the great catapults. The ruins were full of light as many torches were suddenly lit. Hunaruan gazed out at the setting sun with Pumperin by his side. He sighed and turned to Pumperin.
"If we are to die," he said, "let us die defending this once-great city." Then he ran down the steps and onto the front battlements, ready to face his enemy.
The Redheads had prepared large catapults and lines of archers that were ready. Redworn cried out, "Prepare! Ready to fire!" The archers faced the walls with their bows, but suddenly Nethstel shouted and the three great catapults fired with fire ablaze. The rocks fell, crushing many Redheads. Fire and dust flew through the air. The Redheads ran, and those who could not make it were crushed. Then the Redheads answered with flying rocks and singing bows. The already ruined walls fell apart where the heavy rocks of the Redheads landed. Archers fell from the walls and others were crushed.
"We must destroy their catapults before we are destroyed," cried Nethstel. "Aim for their catapults! Crush them!"
The great catapults fired. Fire hissed through the air and crushed some Redhead catapults. Wood and dust flew through the air, knocking down many Redheads. The Redheads countered with their heavy rocks, crushing many soldiers. The Redheads' rocks were covered in red paint.
"Look," said Pumperin. "They love red so much that they must paint their boulders red."
Nethstel cried again, "Fire the catapults!" The catapults fired, knocking down many Redheads. Hunaruan suddenly cried, "Where are the foot soldiers? The Redheads are ambushing us!" Suddenly, many Redheads fell upon the city, crying aloud. They struck the large gates but to no avail.
"Archers, fire!" cried Nethstel. "Bring the Redheads down!"
Arrows flew, knocking Redheads down. Redworn cried, "Fire the catapults!"
The Redheads suddenly fired their few remaining catapults. Fire flashed, and the great statue of Nubarana the first fell, crushing soldiers. The head rolled, pushing the gate open. It rolled over the Redheads, crushing them. The Redheads began to run, and the soldiers all ran to the gate, fighting the Redheads. But the strong Redheads easily beat down the Rowbins. Nethstel cried again, and the archers fired. Then Nethstel ran down the stairs. He drew his sword and slashed a Redhead down. Hunaruan ran over to the gate. He stood by the gate, slashing down the Redheads that neared him.
To determine which of the forces is in the direction of the net force on the car, let's analyze each force:
a. The x-component of the force of gravity: This force is directed downward, perpendicular to the curve's surface. It does not have a component in the direction of the net force.
b. The frictional force: The frictional force acts in the opposite direction of the car's motion. If the car is moving clockwise, for example, the frictional force would be directed counterclockwise. Thus, it is not in the direction of the net force.
c. The x-component of the normal force: The normal force is perpendicular to the curve's surface and points away from it. The x-component of this force is directed inward toward the center of the curve. Therefore, it is in the direction of the net force on the car.
d. The force of gravity: Similar to force a, the force of gravity acts downward and does not have a component in the direction of the net force.
e. The centrifugal force: Although centrifugal force is often mentioned in the context of circular motion, it is actually a fictitious or pseudo-force that appears when we observe motion from a rotating reference frame. It is not a real force and does not directly affect the direction of the net force on the car.
Therefore, the correct answer is c. The x-component of the normal force.