UNIVERSITY OF LIMPOPO
FACULTY OF SCIENCE AND AGRICULTURE
SCHOOL OF PHYSICAL AND MINERAL SCIENCES
DEPARTMENT OF PHYSICS
ASSIGNMENT 01
MODULE:
Due Date
21 MARCH :
2025
SPHS000 (INTRODUCTION TO GENERAL PHYSICS IA)
EXAMINERS:
MR M NETSIANDA
DR M GANDAMIPFA
DR MP MASHAMAITE
:
MR MA LETSOALO
THIS PAPER CONSISTS OF TEN (10) PAGES INCLUDING COVER PAGE.
INSTRUCTIONS:
1. Answer ALL twenty-five (25) questions
2. Choose the most correct answer
3. Submit your answers on the “Answer Platform for Assignment 1” on Blackboard.
4. Due date for this Assignment is on or before 21 March at 23h50
SPHS000 ASSIGNMENT 1
1. Calculate and write the answer to the correct significant figures.
187.66g – 0.2941g x (17.2145g ÷ 2.892) ÷ 4.37g
A.187.25 g
B.187.259 g
C.187.26 g
D.187.30 g
2. Convert 169 km/h to m/s
A. 46.944 m/s
B. 46.94 m/s
C. 46.9 m/s
D.47 m/s
3. Which of the following statements is an example of a Fundamental quantity? (1)
A. Polokwane is 30 km from the University of Limpopo.
B. The weight of a balloon
C.The area of a laboratory
D. The density of a packet of cement
Consider the vectors shown in Figure 1 below. The magnitudes of the vectors are in
Newtons
Use the above figure to answer questions 4 to 8.
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SPHS000 ASSIGNMENT 1
4. Vector A can be represented by …
A 39î + 21ĵ
B. 3î + 2ĵ
C. −42î + 12ĵ
D. 2î + 3ĵ
5. Vector B can be represented by
A.−15î+22ĵ
B. −2î+2ĵ
C. −î+5ĵ
D. 15î+22ĵ
6. Determine vector B −3A
A. 45î+67ĵ
B. 39î+21ĵ
C. 14î+43ĵ
D. −13î−41ĵ
7. Two vectors are given by A =3𝑖̂+3𝑗̂−2𝑘̂, B =−𝑖̂−4𝑗̂.
Find the sum of vector A and B , that is A +B. (3)
A. A+B =2𝑖̂−𝑗̂−2𝑘̂
B. A +B =𝑖̂+7𝑗̂−2𝑘̂
C. A +B =4𝑖̂−𝑗̂−2𝑘̂
D. A +B =−2𝑖̂−𝑗̂−2𝑘̂
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SPHS000 ASSIGNMENT 1
8. Two vectors are given by A =3𝑖̂+3𝑗̂−2𝑘̂, B =−𝑖̂−4𝑗̂.
Find the scalar product of A and B, that is A.B
A. 8
B. 6
C. 10
D. Zero
The diagram in Figure 2 below shows a set of eight (8) vectors.
Figure 2
Use the information above to answer questions 9 to 10.
9. Which of the following statements best describes vector R in Figure 2?
A. R = Q - S
B. R = S + W
C. R = Q – W
D. R = S + Q
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SPHS000 ASSIGNMENT 1
10. Which of the following statements best describes vector V in Figure 2?
A. V = Q - S
B. V =W + U
C. V= Q – W
D. V = P + Q
Consider the following vectors with their magnitudes as indicated.
Vectors K, M, P, and U have magnitudes of 3.5 m each while vectors L, N, Q and W
have magnitudes of 2.0 m.
Use the information above to answer questions 11 to 13.
11. Solve for vector Z where Z = 2U + 8P + 4W + K + 5Q – 3N - 7L + 6M
A. –6.0x – 3.5y
B. 6.0x + 0y
C. –3.5x + 1.5y
D. 0x – 6y
12. Calculate the magnitude of vector Z, |Z|
A. 6.0 m
B. 3.8 m
C. 3.5 m
D. 6.9 m
13. What is the direction of vector Z?
A. Along the x axis
B. 2100 counterclockwise from the x axis
C. 1570 counterclockwise from the x axis
D. Along the – y axis
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SPHS000 ASSIGNMENT 1
A ball is thrown vertically upwards with an initial velocity of 18 m/s from an edge of the
20 m high building. On its way back down, the ball just misses the edge and fall to the
ground below.
Use this information to answer questions 14 to 16
14. Choose the correct calculation for the time the ball reaches the maximum height.
𝑚
𝑚
A. 𝑣𝑥 = 0 𝑠 , 𝑣𝑥0 = 0 𝑠 𝑔 =
9.81
m/s2
9.81
m/s2
substituting
in
𝑣𝑥 = 𝑣𝑥0 + 𝑔𝑡
9.81
m/s2
substituting
in
𝑣𝑥 = 𝑣𝑥0 + 𝑔𝑡
substituting
𝑣𝑥 = 𝑣𝑥0 + 𝑔𝑡
in
𝑡 = 0.5𝑠
𝑚
𝑚
B. 𝑣𝑥 = 0 𝑠 , 𝑣𝑥0 = 18 𝑠 𝑔 =
𝑡 =2𝑠
𝑚
𝑚
C. 𝑣𝑥 = 18 𝑠 , 𝑣𝑥0 = 0 𝑠 𝑔 =
𝑡 =2𝑠
𝑚
𝑚
D. 𝑣𝑥 = 0 𝑠 , 𝑣𝑥0 = 18 𝑠 𝑔 = 9.81 m/s2 substituting in 𝑣𝑥 = 𝑣𝑥0 + 𝑔𝑡
𝑡 = 1.83 𝑠
15. Calculate the displacement of the ball when the ball reaches the ground.
A. 17 m
B. 34 m
C. 54 m
D. -20 m
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SPHS000 ASSIGNMENT 1
16. Choose the correct calculation for the velocity with which the ball reaches the ground.
𝑚
2
A. 𝑣𝑥2 = 𝑣𝑥0
+ 2𝑔𝑦, substituting y=20 m,𝑣𝑥0 = 18 𝑠
𝑔 = 9.81 m/s2
𝑣𝑥 = √182 + 392 = 26 m/s
𝑚
2
B. -𝑣𝑥2 = 𝑣𝑥0
+ 2𝑔𝑦, substituting y=-20 m,𝑣𝑥0 = 18 𝑠
𝑔 = 9.81 m/s2
𝑣𝑥 = √182 + 392 = 27 m/s
𝑚
𝑔 = 9.81 m/s2
𝑚
𝑔 = 9.81 m/s2
2
C. 𝑣𝑥2 = 𝑣𝑥0
+ 2𝑔𝑦, substituting y=20 m,𝑣𝑥0 = 18 𝑠
𝑣𝑥 = √182 + 392 = -26 m/s
2
D. 𝑣𝑥2 = 𝑣𝑥0
+ 2𝑔𝑦, substituting y=-20 m,𝑣𝑥0 = 18 𝑠
𝑣𝑥 = √182 + 392 = -26 m/s
A girl throws a stone horizontally from a hight of 2.0 m with a velocity of 20.0 m/s
towards a dog situated 14.0 away. Use this information to answer questions 17 to
19
17. Calculate the initial horizontal and vertical velocities of the stone.
A. 𝑣𝑥0 = 20.0cos00 m/s =20.0 m/s and 𝑣𝑦0 = 20.0sin00 m/s = 0.0 m/s
B. 𝑣𝑥0 = 20.0cos900 m/s =0.0 m/s and 𝑣𝑦0 = 20.0sin900 m/s = 20.0 m/s
C. 𝑣𝑥0 = 20.0sin00 m/s =0.0 m/s and 𝑣𝑦0 = 20.0sin900 m/s = 20.0 m/s
D. 𝑣𝑥0 = 20.0cos00 m/s =20.0 m/s and 𝑣𝑦0 = 20.0cos00 m/s = 20.0 m/s
18. Calculate the time the stone reaches the ground.
A. 𝑡 = 1.0 s
B. 𝑡 = 0.6 𝑠
C. 𝑡 = 1.2 𝑠
D. 𝑡 = 6.0 𝑠
19. Which of these statements is correct?
A. The stone will hit the dog because 𝑥 = 14.0 m
B. The stone will hit the dog because 𝑥 < 14.0 m
C. The stone will not hit the dog because 𝑥< 14.0 m
D. The stone will not hit the dog because 𝑥> 14.0 m
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SPHS000 ASSIGNMENT 1
20. If the dog, then moves towards the girl such that its motion is described by
𝑥 = 𝑡 2 (in meters) calculate how long will the dog take to get to where the girl is
standing.
A. 3 s
B. 3.7 s
C. 4.0 s
D. 3.0 s
21. Calculate the acceleration of the snake.
A. 4.0 m/s2
B. 3.0 m/s2
C. 2.0 m/s2
D. 1.0 m/s2
A netballer throws a ball as shown in the figure 3 below at velocity v0=14.0 m/s at an
angle of 600. Use the information above to answer questions 22 to 25.
Figure 3
22. Calculate the initial velocities of the ball
A. 𝑣𝑥0 = 7.0 m/s and 𝑣𝑦0 = 7.0 m/s
B. 𝑣𝑥0 = 12.1 m/s and 𝑣𝑦0 = 7.0 m/s
C. 𝑣𝑥0 = 7.0 m/s and 𝑣𝑦0 = 12.1 m/s
D. 𝑣𝑥0 = 7 m/s and 𝑣𝑦0 = 12 m/s
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SPHS000 ASSIGNMENT 1
23. Record the accelerations of the ball
A. 𝑎𝑥 = 2.0 m/s2 and 𝑎𝑦 = 9.8 m/s2
B. 𝑎𝑥 = 0.0 m/s2 and 𝑎𝑦 = 9.8 m/s2
C. 𝑎𝑥 = 0.0 m/s2 and 𝑎𝑦 = 2.0 m/s2
D. 𝑎𝑥 = 0.0 m/s2 and 𝑎𝑦 = -9.8 m/s2
24. Analyse which calculation is correct to determine the time the ball reach the pole.
𝑥
A. 𝑥 = 𝑣𝑥0 𝑡 where 𝑥 = 10.0 𝑚
and
𝑣𝑥0 = 7 m/s
B. 𝑥 = 𝑣𝑥0 𝑡 where 𝑥 = 10.0 𝑚
and
𝑣𝑥0 = 12.1 m/s
C. 𝑥 = 𝑣𝑥0 𝑡 where 𝑥 = 10.0 𝑚
and
𝑣𝑥0 = 7 m/s
𝑡=𝑣
𝑣𝑥0 = 12.1 m/s
𝑡=𝑣
D. 𝑥 = 𝑣𝑥0 𝑡 where 𝑥 = 10 𝑚
and
25. At what height will the ball be when it reaches the pole?
A. 𝑦 + 1.5 𝑚 >2.5 m ∴ the ball will not go into the nett
B. 𝑦 + 1.5 𝑚 <2.5 m ∴ the ball will not go into the nett
C. 𝑦= 2.5 m ∴ the ball will go into the nett
D. 𝑦 + 1.5 𝑚 =2.5 m ∴ the ball will go into the nett
OOOoooo
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𝑡=𝑣
𝑥0
= 1.4 s
𝑥
𝑡=𝑣
𝑥0
𝑥
𝑥0
= 0.8 s
=1s
𝑥
𝑥0
=1s
0
