Vestal Regular Pirate Ship

1. You have a mass of 65 kg. At the bottom of the arc, you experience a force of 1209 N. What is your acceleration at this point?

-9.8 m/s/s

4.5 m/s/s

15.7 m/s/s

18.6 m/s/s

The correct answer is 18.6 m/s/s. The given information states that the person has a mass of 65 kg and experiences a force of 1209 N at the bottom of the arc. To calculate acceleration, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma). Rearranging the equation, we can solve for acceleration (a = F/m). Plugging in the given values, we get a = 1209 N / 65 kg = 18.6 m/s/s.

Explanation

The correct answer is 18.6 m/s/s. The given information states that the person has a mass of 65 kg and experiences a force of 1209 N at the bottom of the arc. To calculate acceleration, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma). Rearranging the equation, we can solve for acceleration (a = F/m). Plugging in the given values, we get a = 1209 N / 65 kg = 18.6 m/s/s.

2. If you sit in the highest point in on the pirate ship, you are approximately 14 up at the highest point. If you have a mass of 65 kg, what is your velocity at the lowest point?

1.7 m/s

32.4 m/s

-9.8 m/s

16.6 m/s

When sitting at the highest point on the pirate ship, the potential energy is at its maximum and the kinetic energy is at its minimum. As the person moves to the lowest point, the potential energy decreases and the kinetic energy increases. According to the law of conservation of energy, the total mechanical energy remains constant. Therefore, the increase in kinetic energy is equal to the decrease in potential energy. Since the person's mass is given, we can use the formula for potential energy (PE = mgh) and equate it to the formula for kinetic energy (KE = 1/2mv^2) to solve for the velocity at the lowest point. The correct answer is 16.6 m/s.

Explanation

When sitting at the highest point on the pirate ship, the potential energy is at its maximum and the kinetic energy is at its minimum. As the person moves to the lowest point, the potential energy decreases and the kinetic energy increases. According to the law of conservation of energy, the total mechanical energy remains constant. Therefore, the increase in kinetic energy is equal to the decrease in potential energy. Since the person's mass is given, we can use the formula for potential energy (PE = mgh) and equate it to the formula for kinetic energy (KE = 1/2mv^2) to solve for the velocity at the lowest point. The correct answer is 16.6 m/s.

3. If you sit in the highest point in on the pirate ship, you are approximately 14 up at the highest point. If you have a mass of 65 kg, what is your potential energy at this point?

900 J

8900 J

75 00 J

137. 2 J

When an object is at a certain height above the ground, it possesses potential energy due to its position. The potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height. In this case, the mass is given as 65 kg and the height is given as 14 m. Plugging these values into the formula, we get PE = (65 kg)(9.8 m/s^2)(14 m) = 8900 J. Therefore, the potential energy at the highest point on the pirate ship is 8900 J.

Explanation

When an object is at a certain height above the ground, it possesses potential energy due to its position. The potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height. In this case, the mass is given as 65 kg and the height is given as 14 m. Plugging these values into the formula, we get PE = (65 kg)(9.8 m/s^2)(14 m) = 8900 J. Therefore, the potential energy at the highest point on the pirate ship is 8900 J.

4. Where would you have the greatest momentum?

At the highest point of this ride

At the lowest point of this ride

The momentum is constant throughout this ride

There is not enough information to answer this question.

At the lowest point of this ride, you would have the greatest momentum. This is because momentum is the product of an object's mass and its velocity, and at the lowest point, the object would have the highest velocity due to the acceleration from gravity. As the object falls, its velocity increases, resulting in a greater momentum.

Explanation

At the lowest point of this ride, you would have the greatest momentum. This is because momentum is the product of an object's mass and its velocity, and at the lowest point, the object would have the highest velocity due to the acceleration from gravity. As the object falls, its velocity increases, resulting in a greater momentum.

5. Two forces you can be sure are acting on you when you are riding this ride are:

Force of gravity, normal force

Force of gravity, force of tension

Force of gravity, spring force

Normal Force, force of tension

When riding this ride, two forces that can be sure are acting on you are the force of gravity and the normal force. The force of gravity is always present and pulls you downwards towards the ground. The normal force, on the other hand, is the force exerted by a surface to support the weight of an object resting on it, in this case, the ride supporting you. These two forces work in conjunction to keep you in place and maintain your equilibrium while riding the attraction.

Explanation

When riding this ride, two forces that can be sure are acting on you are the force of gravity and the normal force. The force of gravity is always present and pulls you downwards towards the ground. The normal force, on the other hand, is the force exerted by a surface to support the weight of an object resting on it, in this case, the ride supporting you. These two forces work in conjunction to keep you in place and maintain your equilibrium while riding the attraction.

6. After the ride gets going (and the passengers reach their highest point), it begins to come to a stop. Which of the following describes this situation.

The law of conservation of energy still applies, because energy changes form but isn't lost

The law of conservation of energy still applies, because energy disappears from the system

The law of conservation of energy doesn't apply, because energy changes form but isn't lost

The law of conservation of energy doesn't apply, because energy disappears from the system

The correct answer is that the law of conservation of energy still applies because energy changes form but isn't lost. This means that although the ride is coming to a stop, the energy is not disappearing from the system. Instead, it is being transformed from kinetic energy (motion) to potential energy (height) as the ride reaches its highest point. This transformation of energy is in accordance with the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred or transformed.

Explanation

The correct answer is that the law of conservation of energy still applies because energy changes form but isn't lost. This means that although the ride is coming to a stop, the energy is not disappearing from the system. Instead, it is being transformed from kinetic energy (motion) to potential energy (height) as the ride reaches its highest point. This transformation of energy is in accordance with the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred or transformed.