w / mass = 16 / velocity (m/s) = 2
x / mass = 15 / velocity (m/s) = 3
y / mass = 13 / velocity (m/s) = 20
z / mass = 2 / velocity (m/s) = 30
11 answers
Inertia is a measure of an object's resistance to changes in its state of motion, and it is directly related to mass. Specifically, inertia is proportional to mass; greater mass means greater inertia.
To determine which object has the least inertia, we look at their masses:
Object z has the least mass (2 kg). Therefore, object z has the least inertia among the four objects.
The half-life of a radioactive substance is the time it takes for half of the sample to decay. In this case, the half-life of element X is 5 days.
After each half-life, the amount remaining is halved:
After 5 days (1 half-life): \[ \text{Remaining amount} = \frac{100 \text{ g}}{2} = 50 \text{ g} \]
After another 5 days (10 days total, or 2 half-lives): \[ \text{Remaining amount} = \frac{50 \text{ g}}{2} = 25 \text{ g} \]
So, after 10 days, the amount of element X remaining is 25 grams.
The correct answer is: a) 25 g.
The acceleration of an object is determined by Newton's second law of motion, which states that \( F = ma \), where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration. If the two rockets have the same mass but one is accelerating at a higher rate, it must be producing more force.
Given this information, let's evaluate the options:
a) One rocket has more fuel than the other: This may affect the total force produced over time, but it does not directly account for the immediate acceleration unless it translates to more power at a given moment. Therefore, this is not a definitive reason.
b) One rocket is more streamlined than the other: While being more streamlined can reduce drag and allow for higher acceleration, it doesn't account for the force being generated by the engines directly.
c) One rocket engine produces more force than the other: This is the most direct explanation for the difference in acceleration since more force would directly lead to a higher acceleration, given equal mass.
d) One rocket is more badly designed than the other: This is vague and does not provide a scientific basis or specific reason for the acceleration difference.
Thus, the most accurate and straightforward conclusion based on the question is:
c) One rocket engine produces more force than the other.
To find the mass of the second rocket that accelerates at half the rate of the first rocket, we can start by applying Newton's second law of motion, which states:
\[ F = ma \]
Where:
Step 1: Calculate the acceleration of the first rocket.
Given:
Using the formula \( F = ma \):
\[ a_1 = \frac{F}{m_1} = \frac{100 , \text{N}}{0.8 , \text{kg}} = 125 , \text{m/s}^2 \]
Step 2: Determine the acceleration of the second rocket.
The second rocket accelerates at half the rate of the first rocket:
\[ a_2 = \frac{1}{2} a_1 = \frac{1}{2} \times 125 , \text{m/s}^2 = 62.5 , \text{m/s}^2 \]
Step 3: Calculate the mass of the second rocket using the same force.
Using the same engine force (\( F \)) of 100 N for the second rocket:
\[ a_2 = \frac{F}{m_2} \implies m_2 = \frac{F}{a_2} \]
Substituting the values:
\[ m_2 = \frac{100 , \text{N}}{62.5 , \text{m/s}^2} = 1.6 , \text{kg} \]
Thus, the mass of the second rocket is 1.6 kg.
The correct answer is: b) 1.6 kg.
The phase change that involves a gas turning into a liquid is called condensation.
Here's a brief explanation of the other terms for clarity:
a) Condensation: This is the process where a gas loses energy and changes into a liquid (e.g., water vapor turning into liquid water).
b) Boiling: This is a process where a liquid turns into a gas (e.g., water turning into steam).
c) Sublimation: This is the phase change where a solid transitions directly into a gas without becoming a liquid first (e.g., dry ice turning into carbon dioxide gas).
d) Freezing: This refers to the process where a liquid changes into a solid (e.g., liquid water turning into ice).
So, the correct answer is: a) Condensation.
Let's match the terms from Column A with the correct elements from Column B based on their properties, specifically their group number, period, and number of valence electrons:
a. 1 valence electron
b. 4th group
c. 4th period
d. 6 valence electrons
Sulfur (S):
Sodium (Na):
Calcium (Ca):
Carbon (C):
This assignment summarizes the basic properties of these elements as they relate to their positions in the periodic table and their electron configurations.
1 answer
1 answer
1 answer
11 answers