Use the table of information to answer the question. Fruit Mass (kg) Speed (m/s) Watermelon A 4 2 Watermelon B 4 4 Two watermelons fall off a kitchen counter. The masses and speeds of the fruits are in the table. How do the kinetic and/or the potential energies of the fruits compare?(1 point) Responses The watermelon B has more kinetic energy. The watermelon B has more kinetic energy. Both fruits have the same kinetic and potential energy. Both fruits have the same kinetic and potential energy. Both fruits have only potential energy and no kinetic energy. Both fruits have only potential energy and no kinetic energy. The watermelon A has more kinetic energy.

Answer 1

To compare the kinetic energies of the two watermelons, we can use the formula for kinetic energy (KE):

\[ KE = \frac{1}{2}mv^2 \]

Where \(m\) is the mass and \(v\) is the speed.

For Watermelon A:

• Mass \(m = 4 , \text{kg}\)
• Speed \(v = 2 , \text{m/s}\)

Calculating kinetic energy for Watermelon A:

\[ KE_A = \frac{1}{2} \times 4 \times (2)^2 = \frac{1}{2} \times 4 \times 4 = \frac{1}{2} \times 16 = 8 , \text{J} \]

For Watermelon B:

• Mass \(m = 4 , \text{kg}\)
• Speed \(v = 4 , \text{m/s}\)

Calculating kinetic energy for Watermelon B:

\[ KE_B = \frac{1}{2} \times 4 \times (4)^2 = \frac{1}{2} \times 4 \times 16 = \frac{1}{2} \times 64 = 32 , \text{J} \]

Comparison of kinetic energies:

• Watermelon A: \(8 , \text{J}\)
• Watermelon B: \(32 , \text{J}\)

Thus, Watermelon B has more kinetic energy.

Regarding potential energy, if both watermelons are falling from the same height, their potential energy at that height will be the same since potential energy (PE) is calculated by:

\[ PE = mgh \]

Where \(h\) is the height from which they are falling (assuming it's the same for both).

In conclusion, based on the calculations:

The watermelon B has more kinetic energy.

Answer 2

A student drops a 350-gram rock and a 500-gram rock into a pool from a height of 8 meters. Which statement about the investigation is accurate?(1 point) Responses The 350-gram rock causes a larger splash because it has less mass. The 350-gram rock causes a larger splash because it has less mass. The 350-gram rock causes a smaller splash because it has more kinetic energy. The 350-gram rock causes a smaller splash because it has more kinetic energy. The 500-gram rock causes a larger splash because it has more kinetic energy. The 500-gram rock causes a larger splash because it has more kinetic energy. The 500-gram rock causes a smaller splash because it has more mass. The 500-gram rock causes a smaller splash because it has more mass.

Answer 3

To determine which statement is accurate, we first need to consider the kinetic energy of both rocks when they hit the water. The kinetic energy (KE) of an object just before it hits the water can be calculated using the formula:

\[ KE = \frac{1}{2}mv^2 \]

where \(m\) is the mass and \(v\) is the velocity of the rock just before impact. The potential energy (PE) when the rock is at height \(h\) is converted to kinetic energy just before impact when it falls:

\[ PE = mgh \]

In this case:

• Mass of Rock 1: \(350 , \text{g} = 0.35 , \text{kg}\)
• Mass of Rock 2: \(500 , \text{g} = 0.5 , \text{kg}\)
• Height \(h = 8 , \text{m}\)
• Gravitational acceleration \(g \approx 9.81 , \text{m/s}^2\)

Calculating the potential energy for both rocks:

1. For the 350-gram rock: \[ PE_{350} = 0.35 \times 9.81 \times 8 \approx 27.47 , \text{J} \]

2. For the 500-gram rock: \[ PE_{500} = 0.5 \times 9.81 \times 8 \approx 39.24 , \text{J} \]

Since potential energy is converted to kinetic energy during the fall (neglecting air resistance), the kinetic energy just before hitting the water will also be approximately \(27.47 , \text{J}\) for the 350-gram rock and \(39.24 , \text{J}\) for the 500-gram rock. Therefore, the 500-gram rock has more kinetic energy.

Larger Kinetic Energy typically means a larger splash upon impact because the energy leads to a greater disturbance in the water.

Thus, the accurate statement about the investigation is:

The 500-gram rock causes a larger splash because it has more kinetic energy.

Answer 4

Use the table of information from a student's investigation to answer the question. Object Splash Size Ranking W 2 X 4 Y 1 Z 3 A student drops several objects of the same size into a bucket of water from a height of 2 meters. She ranks the splash size from 1-4, with 1 being the smallest splash and 4 being the largest splash. Which object most likely has the greatest mass? (1 point) Responses object Z object Z object X object X object W object W object Y object Y Skip to navigation

Answer 5

In the student's investigation, the splash sizes of the objects were ranked from 1 to 4, with 1 being the smallest splash and 4 being the largest splash. Since the objects are dropped from the same height (2 meters) and are of the same size, the size of the splash upon impact is largely influenced by the mass of the objects.

Generally, heavier (greater mass) objects create larger splashes because they have more kinetic energy when they strike the water. Since the ranking shows that object X has the highest splash size ranking (4), it is reasonable to conclude that object X has the greatest mass among the objects.

Thus, the object that most likely has the greatest mass is:

object X.

Answer 6

You are told 3 things...1. That there are two objects with equal masses. 2. Both objects are in motion. 3. One object has a greater kinetic energy than the other. How is this possible? (1 point) Responses One object is blue and one object is red. One object is blue and one object is red. One object has a greater volume than the other object. One object has a greater volume than the other object. One object has a greater density then the other object. One object has a greater density then the other object. One object has a greater speed than the other object.

Answer 7

Kinetic energy (KE) is calculated using the formula:

\[ KE = \frac{1}{2}mv^2 \]

Where:

• \(m\) is the mass of the object,
• \(v\) is the speed of the object.

You mentioned that there are two objects with equal masses but that one object has a greater kinetic energy than the other. Given the formula for kinetic energy, the only way this is possible while keeping the masses equal is if the speed of one of the objects is greater than the other.

Thus, the correct response is:

One object has a greater speed than the other object.

Answer 8

A large truck and a small car are moving at the same speed, traveling up and down hills, and over bumpy roads. Which one has more kinetic energy?(1 point) Responses The truck has less kinetic energy because it has greater mass. The truck has less kinetic energy because it has greater mass. The car and truck have the same kinetic energy. The car and truck have the same kinetic energy. The truck has more kinetic energy because it has a greater mass. The truck has more kinetic energy because it has a greater mass. The car has more kinetic energy because it moves fast down hills.

Answer 9

Kinetic energy (KE) is calculated using the formula:

\[ KE = \frac{1}{2}mv^2 \]

Where:

• \(m\) is the mass of the object,
• \(v\) is the speed of the object.

In the scenario you described, both the large truck and the small car are moving at the same speed. However, the truck has a greater mass than the car.

Since the mass of the truck is greater while the speeds are the same, we can conclude that the truck has more kinetic energy.

Therefore, the correct response is:

The truck has more kinetic energy because it has a greater mass.

Answer 10

Which object has the greatest kinetic energy?(1 point) Responses a green car with a mass of 500kg moving at 21 m/s a green car with a mass of 500kg moving at 21 m/s a blue car with a mass of 500 kg moving at 30 m/s a blue car with a mass of 500 kg moving at 30 m/s a yellow car with a mass of 500 kg moving at 12 m/s a yellow car with a mass of 500 kg moving at 12 m/s a red car mass of 500 kg moving at 3 m/s

Answer 11

To determine which object has the greatest kinetic energy (KE), we can use the kinetic energy formula:

\[ KE = \frac{1}{2}mv^2 \]

Given that the masses of all the cars are the same (500 kg), the kinetic energy will depend solely on the speed (velocity) of each car. Thus, we will calculate the kinetic energy for each car:

1. Green car:
   Mass = 500 kg, Speed = 21 m/s
   \[ KE = \frac{1}{2} \times 500 \times (21)^2 = 0.5 \times 500 \times 441 = 110250 , \text{J} \]

2. Blue car:
   Mass = 500 kg, Speed = 30 m/s
   \[ KE = \frac{1}{2} \times 500 \times (30)^2 = 0.5 \times 500 \times 900 = 225000 , \text{J} \]

3. Yellow car:
   Mass = 500 kg, Speed = 12 m/s
   \[ KE = \frac{1}{2} \times 500 \times (12)^2 = 0.5 \times 500 \times 144 = 36000 , \text{J} \]

4. Red car:
   Mass = 500 kg, Speed = 3 m/s
   \[ KE = \frac{1}{2} \times 500 \times (3)^2 = 0.5 \times 500 \times 9 = 1125 , \text{J} \]

Now, let's summarize the calculated kinetic energies:

• Green car: 110250 J
• Blue car: 225000 J
• Yellow car: 36000 J
• Red car: 1125 J

The object with the greatest kinetic energy is the:

Blue car with a mass of 500 kg moving at 30 m/s.