Phys 1011 Worksheet I focuses on fundamental concepts in physics, including dimensions, units, vector addition, and motion analysis. It provides a series of conceptual questions and problems designed for introductory physics students. Topics covered include vector components, acceleration, and the relationship between velocity and displacement. This worksheet is ideal for students preparing for exams in introductory physics courses, enhancing their understanding of key principles and problem-solving techniques.

Key Points

  • Explores fundamental physics concepts such as dimensions and units.
  • Includes vector addition and motion analysis questions.
  • Covers acceleration, velocity, and displacement relationships.
  • Designed for introductory physics students preparing for exams.
Suud Fuad
11 pages
Language:English
Type:Worksheet
Physics
Suud Fuad
11 pages
Language:English
Type:Worksheet
Physics
375
/ 11
1
Addis Ababa University
College of Natural and Computational Sciences
Department of Physics
Phys 1011 Worksheet I
Conceptual Questions
1. Explain the difference between dimensions and units.
2. Can you add or subtract quantities with different units? Can you multiply or divide
quantities with different units?
3. If
is the vector sum of
and
󰇍
,
󰇍
, what must be true about the directions
and magnitudes of
and
󰇍
if ? What must be true about the directions and
magnitudes of
and
󰇍
if ?
4. If
for a vector in the xy-plane, does it follow that

? What can you say
about
and
?
5. Can you find a vector quantity that has a magnitude of zero but components that are
different from zero? Explain. Can the magnitude of a vector be less than the magnitude
of any of its components? Explain.
6. The figure below shows a position-versus-time graph for the motion of objects A and B
as they move along the same axis. (a) At the instant t = 1 s, is the speed of A greater
than, less than, or equal to the speed of B? Explain. (b) Do objects A and B ever have the
same speed? If so, at what time or times? Explain.
7. You toss a small ball vertically up in the air. How are the velocity and acceleration
vectors of the ball oriented with respect to one another during the ball’s flight up and
down?
8. If the acceleration of an object is zero and its velocity is nonzero, what can you say
about the motion of the object?
9. A ball is dropped from rest from the top of a building of height h. At the same instant, a
second ball is projected vertically upward from ground level, such that it has zero speed
when it reaches the top of the building. When the two balls pass each other, which ball
has the greater speed, or do they have the same speed? Explain. Where will the two
balls be when they are alongside each other: at height above the ground, below this
height, or above this height? Explain.
2
10. The figure below shows the position-versus-time graph for a moving object. At which
letter point or points: (a) Is the object moving the slowest? (b) Is the object moving the
fastest? (c) Is the object at rest? (d) Is the object moving to the left?
11. Under what conditions is average velocity equal to instantaneous velocity?
12. Under what conditions does the magnitude of the average velocity equal the average
speed?
13. Can an object’s acceleration be in the opposite direction to its motion? Explain.
14. Give examples of motion in which the directions of the velocity and acceleration vectors
are (a) opposite, (b) the same, and (c) mutually perpendicular.
15. ''In general, the normal force is not equal to the weight." Give an example where the two
forces are equal in magnitude and at least two examples where they are not.
16. To push a box up an inclined plane, is the force required smaller if you push horizontally
or if you push parallel to the incline? Why?
17. Can the magnitude of the displacement of a particle be less than the distance traveled by
the particle along its path? Can its magnitude be more than the distance traveled?
Explain.
18. Two stones are thrown vertically upward from the ground, one with three times the
initial speed of the other. (a) If the faster stone takes 10 s to return to the ground, how
long will it take the slower stone to return? (b) If the slower stone reaches a maximum
height of H, how high (in terms of H) will the faster stone go? Assume free fall.
19. (a) An object has an acceleration of 3 m/s
2
when the only force acting on it is F
o
. What is
its acceleration when this force is doubled? (b) A second object has an acceleration of 9
m/S
2
under the influence of the force F
o
. What is the ratio of the masses of the two
objects? (c) If the two objects are glued together, what acceleration will the force F
o
produce?
Problems
1. How many significant figures are in each of the following numbers?
(a) 4.01 (b) 4.010 (c) 4 (d) 2.00001 (e) 0.00001 (f) 1.10042 (g) 2310000
3
2. Two different forces, acting on the same object, are measured. One force is 2.0031 N
and the other force, in the same direction, is 3.12 N. These are the only forces acting on
the object. Find the total force on the object to the correct number of significant figures.
3. Given the equation  and  
,  

, and ,
what is w, in scientific notation and with the correct number of significant figures?
4. The length and width of a rectangular room are measured to be 3.955 ± 0.005 m and
3.050 ± 0.005 m. Calculate (a) the relative and percentage errors in measuring the
length and width; (b) the area of the room and its uncertainty in square meters.
5. A car engine moves a piston with a circular cross section of 7.500 ± 0.002 cm diameter a
distance of 3.250 ± 0.001 cm to compress the gas in the cylinder. (a) By what amount is
the gas decreased in volume in cubic centimeters? (b) Find the uncertainty in this
volume.
6. Apply the appropriate rule for significant figures to calculate the following: (a) 1.58 x
0.03, (b) 1.4 + 2.53, (c) 2.34 x 10
2
+ 4.93 (Answer (a) 0.05, (b) 3.9, (c) 2.39 x 102)
7. In the following equations, the distance x is in meters, the time t is in seconds, and the
velocity v is in meters per second. What are the SI units of the constants
and
?
(a)
, (b)
, (c)

, (d)
󰇛
󰇜,
(e)

󰇛
󰇜
8. Calculate the following, round off to the correct number of significant figures, and
express your result in scientific notation: (a) (200.9)x(569.3),
(b) (0.000000513)x(62.3 x 10
7
), (c) 28,401 + (5.78 X 10
4
), (d) 63.25 / (4.17 x 10
-3
).
9. A cell membrane has a thickness of about 7 nm. How many cell membranes would it
take to make a stack 1 in high?
10. The volume of an irregularly shaped solid can be determined from the volume of water
it displaces. A graduated cylinder contains 19.9 mL of water. When a small piece of
galena, an ore of lead, is added, it sinks and the volume increases to 24.5 mL. What is
the volume of the piece of galena in cm
3
, m
3
, and in L?
11. Calculate the result of each of the following problems to the correct number of
significant digits:
(a)



(b)
󰇛

󰇜󰇛

󰇜

(c)  
 
(d)




12. A laboratory instructor gives a sample of amino-acid powder to each of four students, I,
II, III, and IV, and they weigh the samples. The true value is 8.72 g. Their results for three
trials are
I: 8.72 g, 8.74 g, 8.70 g II: 8.56 g, 8.77 g, 8.83 g III: 8.50 g, 8.48 g, 8.51 g IV: 8.41 g, 8.72 g, 8.55 g
(a) Calculate the average mass from each set of data, and tell which set is the most accurate.
(b) Precision is a measure of the average of the deviations of each piece of data from the
average value. Which set of data is the most precise? Is this set also the most accurate?
(c) Which set of data is both the most accurate and most precise?
(d) Which set of data is both the least accurate and least precise?
/ 11
End of Document
375

Figures

You toss a small ball vertically up in the air. How are the velocity and acceleration
Under what conditions is average velocity equal to instantaneous velocity?
Phys 1011 Worksheet I: Conceptual Questions and Problems — Fig 1
Phys 1011 Worksheet I: Conceptual Questions and Problems — Fig 2
Starting from a pillar, you run 200 m east (the + x-direction) at an average speed of 5.0
The radius of the earth's orbit around the sun (assumed to be circular) is 1.50 X 10
A box is given a push so that it slides across the floor. How far will it go, given that the
Phys 1011 Worksheet I: Conceptual Questions and Problems — A box is given a push so that it slides across the floor. How far will it go, given that the
A certain spring stores 10.0 J of potential energy when it is stretched by 2.00 cm from its
Repeat Problem 45 assuming a coefficient of friction
A pendulum consists of a 2-kg bob attached to a light string of length 3 m. The bob is struck
approach each other on a horizontal table with the same

You May Also Like

FAQs

what is Phys 1011 Worksheet I about

The Phys 1011 Worksheet I focuses on conceptual questions and problems related to introductory physics topics.

  • It includes questions on dimensions and units.
  • It covers vector addition and subtraction.
  • It explores motion, velocity, and acceleration concepts.
  • It addresses forces and energy principles.

how to solve problems in Phys 1011 Worksheet I

To solve problems in the Phys 1011 Worksheet I, you should first understand the underlying physics concepts.

  • Identify the key principles relevant to the problem, such as Newton's laws or kinematics.
  • Break down the problem into smaller, manageable parts.
  • Use diagrams to visualize the scenario, especially for vector problems.
  • Apply appropriate formulas and check your units for consistency.

what are some key topics in Phys 1011 Worksheet I

Key topics in the Phys 1011 Worksheet I include fundamental physics concepts that are essential for understanding motion and forces.

  • Dimensions and units of measurement.
  • Vector addition and subtraction.
  • Motion in one and two dimensions.
  • Forces, including gravitational and normal forces.
  • Energy concepts, including kinetic and potential energy.

how to understand vector addition in Phys 1011 Worksheet I

Understanding vector addition in the Phys 1011 Worksheet I involves grasping how to combine vectors both graphically and mathematically.

  • Use the tip-to-tail method for graphical addition.
  • For mathematical addition, break vectors into components.
  • Apply the Pythagorean theorem for magnitude and trigonometry for direction.

what is the significance of acceleration in Phys 1011 Worksheet I

Acceleration is a crucial concept in the Phys 1011 Worksheet I, as it describes how an object's velocity changes over time.

  • It is a vector quantity, meaning it has both magnitude and direction.
  • Understanding acceleration helps in analyzing motion under various forces.
  • It is essential for solving problems related to free fall and projectile motion.

how to calculate average velocity in Phys 1011 Worksheet I

Calculating average velocity in the Phys 1011 Worksheet I involves determining the total displacement divided by the total time taken.

  • Average velocity = Total Displacement / Total Time.
  • Ensure that displacement is a straight line from the initial to final position.
  • Units should be consistent, typically in meters per second (m/s).

what are the main formulas in Phys 1011 Worksheet I

The Phys 1011 Worksheet I includes several fundamental formulas that are essential for solving physics problems.

  • Newton's Second Law: F = ma (Force equals mass times acceleration).
  • Kinematic Equations for uniformly accelerated motion.
  • Energy formulas: KE = 1/2 mv² (Kinetic Energy) and PE = mgh (Potential Energy).

how to approach conceptual questions in Phys 1011 Worksheet I

Approaching conceptual questions in the Phys 1011 Worksheet I requires a solid understanding of physics principles.

  • Read each question carefully to identify the key concepts involved.
  • Use diagrams to visualize the problem when applicable.
  • Think critically about how different physics concepts are interconnected.

what is the role of forces in Phys 1011 Worksheet I

Forces play a fundamental role in the Phys 1011 Worksheet I, influencing the motion of objects.

  • Understanding the types of forces, such as gravitational and frictional, is essential.
  • Newton's laws of motion provide the framework for analyzing how forces affect motion.
  • Force diagrams can help in visualizing and solving problems related to forces.