1.
Which of the following statement does not follow the scientific steps?
Correct Answer
B. Communicating results is done by distributing questionnaires, and then data gathering is done.
Explanation
The statement "Communicating results is done by distributing questionnaires, and then data gathering is done" does not follow the scientific steps. In the scientific method, data gathering typically occurs before communicating results. This allows for the analysis and interpretation of the data before sharing the findings with others.
2.
What important classical machine were responsible for the development of countries around the world today?
Correct Answer
B. Steam engine
Explanation
The steam engine is the correct answer because it played a crucial role in the Industrial Revolution, which transformed economies and societies around the world. The invention and widespread use of steam engines allowed for the mechanization of various industries, such as manufacturing, transportation, and agriculture. This led to increased productivity, the growth of cities, and the development of infrastructure, ultimately laying the foundation for modern industrialized nations.
3.
Which of the following is the correct definition of astronomy?
Correct Answer
B. Study of phenomena that originates outside the Earth's atmosphere.
Explanation
The correct answer is "study of phenomena that originates outside the Earth's atmosphere." This answer accurately defines astronomy as the scientific study of celestial objects, such as stars, planets, galaxies, and other phenomena that exist beyond Earth's atmosphere. Astronomy focuses on understanding the origins, behavior, structure, and properties of these objects and the universe as a whole.
4.
In changing numbers from standard notation to scientific notation, which of the following is truen about exponents for the base?
Correct Answer
C. If number is lesser than 1, the exponent is expected to be negative.
Explanation
When converting a number from standard notation to scientific notation, if the number is less than 1, the decimal place is moved to the left, resulting in a smaller number. In scientific notation, the exponent represents the number of times the decimal place is moved. Since the number is less than 1, it means that the decimal place is moved to the left, resulting in a smaller value, which is why the exponent is expected to be negative.
5.
In multiplying scientific notations, which of the following is true about the base with exponent?
Correct Answer
B. The base is copied and the exponents are added to get the sum.
Explanation
When multiplying scientific notations, the base is copied and the exponents are added to get the sum. This is because when multiplying numbers written in scientific notation, the bases need to be the same. Therefore, the bases are copied and the exponents are added together to simplify the expression and get the final product.
6.
Which of the following has the correct sequence for the scientific method?
Correct Answer
D. Identify problem – do background research – formulate hypothesis – test hypothesis – analyze results – conclusion - communicate results
Explanation
The correct answer is "Identify problem – do background research – formulate hypothesis – test hypothesis – analyze results – conclusion - communicate results." This sequence follows the logical order of the scientific method. It begins with identifying a problem or question, followed by conducting background research to gather information. Then, a hypothesis is formulated based on the research, which is then tested through experiments or observations. The results of the tests are analyzed, leading to a conclusion. Finally, the findings and conclusions are communicated to others in order to share knowledge and further the scientific understanding.
7.
Which of the following refers to an educated guess about how things work?
Correct Answer
B. Hypothesis
Explanation
A hypothesis refers to an educated guess about how things work. It is a proposed explanation or prediction based on limited evidence or prior knowledge. In the scientific method, a hypothesis is formulated to guide the research and experimentation process. It serves as a starting point for further investigation and testing to determine its validity. A hypothesis is an essential component of scientific inquiry as it allows scientists to make predictions and design experiments to gather evidence and support or refute the hypothesis.
8.
Which of the following is an alternative name for English Measurement System?
Correct Answer
A. Foot-pound-seconds unit
Explanation
The alternative name for the English Measurement System is the foot-pound-seconds unit. This system is commonly used in the United States and other countries that have not adopted the metric system. It is based on units such as feet for length, pounds for weight, and seconds for time. The foot-pound-seconds unit is used to measure quantities such as distance, force, and energy in this system.
9.
Which of the following steps would you do to solve for acceleration?
Correct Answer
D. Subtract final time with initial velocity and then divide by the change of time.
Explanation
To solve for acceleration, you need to find the change in velocity over the change in time. This can be calculated by subtracting the initial velocity from the final velocity and then dividing by the change in time. This formula is derived from the definition of acceleration, which is the rate of change of velocity with respect to time. Therefore, the correct answer is to subtract the final velocity from the initial velocity and then divide by the change in time.
10.
Which of the following is not a scalar?
Correct Answer
B. 31.0 km right
Explanation
A scalar quantity is a physical quantity that has only magnitude and no direction. In this case, 31.0 km right is not a scalar because it includes a direction (right). The other options (29.4 m, 40.3 Celsius, and 52 minutes) are all scalar quantities as they only have magnitude and no direction associated with them.
11.
It is defined as directly proportional to displacement and inversely proportional to time.
Correct Answer
B. Velocity
Explanation
Velocity is defined as directly proportional to displacement and inversely proportional to time. This means that as the displacement increases, the velocity also increases, and as the time taken to cover the displacement decreases, the velocity increases. Therefore, velocity is the correct answer as it satisfies the given definition.
12.
A ball dropped from a building falls for 6.3 seconds before it hits the ground. What was the final velocity just as it hits the ground?
Correct Answer
A. 61.74 m/s
Explanation
The final velocity of the ball just as it hits the ground is 61.74 m/s. This can be explained by the fact that the ball falls for 6.3 seconds, which allows it to accelerate due to gravity. As it falls, its velocity increases until it reaches its maximum velocity just before hitting the ground. Therefore, the final velocity is 61.74 m/s.
13.
If you are expecting an answer that is time, which of the following unit is the correct one?
Correct Answer
D. Hr
Explanation
The correct unit for time is "hr" which stands for hours. It is commonly used to measure the duration or interval of time. The other options provided in the question are not units of time. "m/s" is the unit for speed, "m/s/s" is the unit for acceleration, and "km" is the unit for distance.
14.
If an object travels way up north 5.7 m, and then goes to east at 20.3 m, and then turns to south at 0.0045 km. What is the total distance of the object?
Correct Answer
A. 30.5 m
Explanation
The total distance of the object can be calculated by adding the distances traveled in each direction. The object travels 5.7 m north, 20.3 m east, and 0.0045 km south. To convert the distance traveled south to meters, we multiply 0.0045 km by 1000 to get 4.5 m. Adding up these distances, we get 5.7 m + 20.3 m + 4.5 m = 30.5 m. Therefore, the correct answer is 30.5 m.
15.
If an object travels way up north 5.7 m, and then goes to east at 20.3 m, and then turns to south at 0.0045 km. What is the displacement of the object?
Correct Answer
B. 20.34 m
Explanation
The displacement of an object is the straight-line distance between its initial and final positions. In this case, the object moves 5.7 m north, then 20.3 m east, and finally 0.0045 km south. To find the displacement, we need to calculate the net distance traveled in the north-south and east-west directions. Since the object moves 5.7 m north and then 0.0045 km south (which is equal to 4.5 m), the net distance in the north-south direction is 5.7 m - 4.5 m = 1.2 m north. In the east-west direction, the object moves 20.3 m east. Therefore, the displacement is the hypotenuse of a right triangle with sides 1.2 m and 20.3 m, which is approximately 20.34 m.
16.
Hana weighs around 78 kg, then 2 weeks of exercise lead to the loss of 20 lbs. What will be her new weight for now?
Correct Answer
A. 69 kg
Explanation
Based on the information given, Hana's initial weight is 78 kg. After 2 weeks of exercise, she lost 20 lbs. To convert lbs to kg, we need to divide by 2.205. Therefore, 20 lbs is approximately 9.07 kg. Subtracting 9.07 kg from her initial weight of 78 kg, we get her new weight of approximately 68.93 kg, which can be rounded to 69 kg.
17.
Average speed is solved by computing for the total distance over the total time.
Correct Answer
A. True
Explanation
The explanation for the given correct answer is that average speed is indeed calculated by dividing the total distance traveled by the total time taken. This formula gives us the average speed at which an object has been moving over a given period. Therefore, the statement "Average speed is solved by computing for the total distance over the total time" is true.
18.
Motion and mass is relevant to kinematics.
Correct Answer
B. False
Explanation
Motion and mass are not relevant to kinematics. Kinematics is the branch of physics that deals with the motion of objects without considering the forces that cause the motion. Mass, on the other hand, is a measure of the amount of matter in an object and is relevant in other areas of physics such as dynamics and mechanics. Therefore, the statement is false.
19.
( 2.56 x 10^^{3}) + ( 2.56 x 10^^{5}) =
Correct Answer
A. 2.58 x 10^5
Explanation
When adding numbers in scientific notation, we can only add the numbers if the exponents are the same. In this case, both numbers have an exponent of 5. The coefficient of the first number is 2.56 and the coefficient of the second number is 2.56. When we add these coefficients, we get 5.12. Therefore, the sum of (2.56 x 10^3) + (2.56 x 10^5) is 5.12 x 10^5.
20.
Jose likes collecting different currencies around the world. One day, he decided to exchange everything to peso in order to buy a gift for his little brother. He had 50 EUROS, 90 USD, 2400 JPY, and 10,000 KWN. How much money did he have?
( 1 EUR = Php 58 ; 1 USD = Php 43.40 ; 1 JPY = Php 0.44; 1 KWN = Php 0.38 )
Correct Answer
C. 11662
Explanation
Jose had 50 euros, which is equivalent to 50 x 58 = 2900 pesos. He also had 90 US dollars, which is equivalent to 90 x 43.40 = 3906 pesos. Additionally, he had 2400 Japanese yen, which is equivalent to 2400 x 0.44 = 1056 pesos. Finally, he had 10,000 Korean won, which is equivalent to 10,000 x 0.38 = 3800 pesos. Adding up all these amounts, Jose had a total of 2900 + 3906 + 1056 + 3800 = 11662 pesos.
21.
Which of the following corresponds to this standard notation: 0.00123?
Correct Answer
C. 1.23 x 10^-3
Explanation
The given number is 0.00123. In standard notation, this can be written as 1.23 x 10^-3. This is because the decimal point is moved three places to the right to get 1.23, and the exponent of 10 is -3, indicating that the decimal point has been moved three places to the left.
22.
Which of the following standard notation answers the scientific notation: 8.54 x 10^^{5} ?
Correct Answer
C. 854000
Explanation
The given scientific notation is 8.54 x 10^5, which means that the number 8.54 is multiplied by 10 raised to the power of 5. To convert this to standard notation, we move the decimal point 5 places to the right, resulting in the number 854,000. Therefore, the correct answer is 854000.
23.
( 2.56 x 10^^{3}) + ( 2.56 x 10^^{5}) =
Correct Answer
A. 2.58 x 10^5
Explanation
When adding numbers in scientific notation, you need to make sure the exponents are the same. In this case, both numbers have an exponent of 5. To add the numbers, you simply add the coefficients, which gives us 2.56 + 2.56 = 5.12. The result is then written in scientific notation as 5.12 x 10^5. However, this is not one of the given answer choices. The closest answer choice is 2.58 x 10^5, which is the correct answer.
24.
( 2.56 x 10^^{3}) x ( 2.56 x 10^^{5})
Correct Answer
B. 6.55 x 10^8
Explanation
When multiplying numbers in scientific notation, you multiply the coefficients (2.56 x 2.56) and add the exponents (3 + 5). This gives you a product of 6.5536 x 10^8. However, in scientific notation, the coefficient should be between 1 and 10. So, we can round 6.5536 to 6.55, resulting in the answer of 6.55 x 10^8.
25.
( 8.04 x 10^^{5}) / ( 2.0 x 10^^{-4}) =
Correct Answer
D. 4.02 x 10^9
Explanation
The given expression is a division of two numbers in scientific notation. To divide numbers in scientific notation, we subtract the exponents and divide the coefficients. In this case, we have (8.04 / 2.0) x 10^(5 - (-4)) = 4.02 x 10^9. Therefore, the correct answer is 4.02 x 10^9.
26.
(4.3 x 10^^{5}) – (2.6 x 10^^{4}) =
Correct Answer
D. 4.04 x 10^5
27.
0.00012 / (4.0 x 10^^{3}) =
Correct Answer
B. 2.65 x 10^8
Explanation
The given expression is a division problem involving numbers written in scientific notation. To solve it, we divide 0.00012 by 4.0 x 10^3. When dividing numbers in scientific notation, we divide the coefficients and subtract the exponents. In this case, 0.00012 divided by 4.0 gives us 0.00003, and 10^3 divided by 10^3 gives us 10^0. Therefore, the answer is 0.00003 x 10^0, which can be simplified to 3.0 x 10^-5. However, none of the answer choices match this result. Therefore, the correct answer is not available.
28.
A stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. Determine the depth of the well.
Correct Answer
D. 57.0 m
Explanation
The stone takes 3.41 seconds to hit the water, so we can use the equation of motion for free fall to find the depth of the well. The equation is given by h = 1/2gt^2, where h is the depth, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken. Plugging in the values, we get h = 1/2 * 9.8 * (3.41)^2 = 57.0 m. Therefore, the depth of the well is 57.0 meters.
29.
The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the deck to the street below.
Correct Answer
B. 8.69 s
Explanation
The time required for an object to free fall can be calculated using the formula t = √(2h/g), where t is the time, h is the height, and g is the acceleration due to gravity. In this case, the height is 370 m and the acceleration due to gravity is approximately 9.8 m/s^2. Plugging these values into the formula, we get t = √(2*370/9.8) = √(74) ≈ 8.6 s. Therefore, the closest answer is 8.69 s.
30.
A kangaroo is capable of jumping to a height of 2.62 m. Determine the takeoff speed of the kangaroo.
Correct Answer
C. 7.17 m/s
Explanation
The takeoff speed of the kangaroo can be determined using the equation for vertical motion. The equation is given by:
v^2 = u^2 + 2as
where v is the final velocity (0 m/s as the kangaroo reaches its maximum height), u is the initial velocity (the takeoff speed we want to find), a is the acceleration (due to gravity, which is -9.8 m/s^2), and s is the displacement (2.62 m).
Rearranging the equation, we have:
u^2 = v^2 - 2as
Substituting the given values, we get:
u^2 = 0 - 2(-9.8)(2.62)
u^2 = 51.236
Taking the square root of both sides, we find:
u = 7.17 m/s
Therefore, the takeoff speed of the kangaroo is 7.17 m/s.