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August 2025
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Physics 101 Mechanics Q&A Archive of August 16, 2025

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August 16 of 2025

c) A projectile of mass 200 g covers a maximum vertical distance of 10 m when it is launched at an angle of \( 30^{\circ} \) from the horizontal ground. How linet wit the projectile be in the air? 问 वf A helicopter on flood relief mission is trevelling horthontally with a apeed of 30 \(…

Find the dot product of \( A=5 t+3 j+2 k \) and \( B=-4 t+4 j+7 k \) if the meen became them is \( 60^{\circ} \). 间 QUESTION 2 stops at \( x_{f}=-5 \mathrm{~m} \) when \( t_{f}=2 \mathrm{~s} \). Determine the following duing the gree ter interval; i) the displacement uf the average…

EGR2306: APPLIED MECHANICS ASSIGNMENT Q1. The screw eye in Fig. Q1 is subjected to two forces \( \mathrm{F}_{1} \) and \( \mathrm{F}_{2} \). Determine the magnitude and direction of the resultant force using rriangle rule and parallelogram rale. (213N, 54.8") Fig. Q1. Fig. Q2. Q2. Two forees…

(e) Let a force \( \boldsymbol{F}=(5 t+A, J+4 \bar{k}) \mathrm{N} \) act on an object over a displacement \( R=(3 t-j+2 \bar{k}) \mathrm{m} \). Given that the force \( F \) has a magnitude of \( F \) [2] Determine or otherwise as indicated, (i) the value of \( A_{y} \). (ii) the unit vector…

mu doce off and find yourself is by meters due west. Determine how for you Bas walked while you were loss in the deep thought. (d) Define a unit vector 四 (e) Let a force \( \left.F=\left(5 t+\lambda_{2}\right)+4 k\right] N \) act on an object over a displacement \( R=(3 \hat{i}-j+2 \hat{k})…

Example Determine the magnitude and sense of the moment due to the 200 N force shown below about A .

TELEGRAM 05:36 ASSIGNMENT CTPS SP015_... CTPS ASSIGNMENT SP015 SEMESTER I SESSION 2025/2026 KOLEJ MATRIKULASI KEDAH SET 2 1 A wheel starts to rotate from rest about a fixed axis with constant angular acceleration. The angular velocity of the wheel increases until it reaches \( 12 \mathrm{rad}…

7. (8 points) A electromagnetic wave of light has a wavelength of 500 nm . What is the energy (in Joules) of the photon representing the particle interpretation of this light?

6.15 Calculate the electron heat capacity at 1000 K in \( \mathrm{Na}, \mathrm{Al} \) and Cu metals using the following data: \begin{tabular}{ccc} & Electron density & Fermi energy \\ & \( n\left(\times 10^{28} \mathrm{~m}^{-3}\right) \) & \( \varepsilon_{\mathrm{F}}(\mathrm{cV}) \) \\ Na &…

Determine the vertical rise \( h \) of the load \( W \) during 13 seconds if the hoisting drum draws in cable at the constant rate of \( 156 \mathrm{~mm} / \mathrm{s} \). Answer: \( h= \) \( \square \) i mm

Collars \( A \) and \( B \) slide along the fixed right-angle rods and are connected by a cord of length \( L=9.5 \mathrm{~m} \). Determine the acceleration of collar \( B \) when \( y=2.8 \mathrm{~m} \) if collar \( A \) is given a constant upward velocity \( v_{A}=2.53 \mathrm{~m} /…

At a certain instant, the velocity of cylinder \( B \) is \( 1.20 \mathrm{~m} / \mathrm{s} \) down and its acceleration is \( 2.63 \mathrm{~m} / \mathrm{s}^{2} \) up. Determine the corresponding velocity and acceleration of block \( A \). The velocity and acceleration of \( A \) are positive if…

4. A bird sees a fish below the surface of a lake. It dives in a straight line at \( 45.0^{\circ} \) in order to catch the fish. The bird's diving speed is fast enough that it continues to move in approximately a straight line while in the water. \[ \begin{array}{c} n_{1} \sin \theta_{1}=n_{2}…

Q6 (a) Determine the stability of a system with characteristics equation \[ \begin{array}{l} S^{5}+4 S^{4}+2 S^{3}+8 S^{2}+S+4=0 \\ 2 S^{5}+S^{4}+6 S^{3}+3 S^{2}+S+1=0 \end{array} \]

Practice Fest 63 Page 1. \[ \text { 1. } \frac{5^{2}+5}{5}= \] A) 5 B) 6 C) 10 D) 25 E) 26 2. Express \( 27.8913 \times 100 \) in scientific notation. A) \( 0.278913 \times 10^{3} \) C) \( 2.78913 \times 10^{2} \) B) \( 0.278913 \times 10^{4} \) E) \( 27.8913 \times 10^{2} \) D) \( 2.78913…

Q6 (a) Determine the stability of a system with characteristics equation \[ \begin{array}{l} S^{5}+4 S^{4}+2 S^{3}+8 S^{2}+S+4=0 \\ 2 S^{5}+S^{4}+6 S^{3}+3 S^{2}+S+1=0 \end{array} \]

10. The sides of a triangle have lengths of \( 24.7 \mathrm{~cm}, 19.3 \mathrm{~cm} \), and 8.6 cm . What is the distance around the triangle? 11. If a pencil weighs 12 g , how many milligrams would 9 pencils weigh? 12. How many \( 22-\mathrm{in} \). pieces can be cut from 11 ft of string? 13.…

Q5(b) Fig Q5b is a block diagram of a space vehicle attitude control system. Assuming the time constant \( T \) of the controller to be 3 sec and the ratio of torque inertia \( (K / J) \) to be \( 2 / 9 \mathrm{rad}^{2} / \mathrm{sec}^{2} \). Find the damping ratio of the system. FIGQ5b

Q5 (a) Consider the system shown in Fig Q5a. Determine the value of K such that the damping ratio \( \xi \) is 0.5 . Then obtain the rise time \( \left(t_{r}\right) \),peak time ( \( T_{r} \) ),maximum overshoot \( M_{\mathrm{P}} \) and settling time ( \( t_{s} \) ) in the unit step response.

Q5 (a) Consider the system shown in Fig Q5a. Determine the value of K such that the damping ratio \( \xi \) is 0.5 . Then obtain the rise time ( \( t_{r} \) ),peak time ( \( T_{r} \) ),maximum overshoot \( M_{P} \) and settling time ( \( t_{s} \) ) in the unit step response.

Memo No. Date a the electrie field a distance \( z \) above one end of a straight line segment of hight \( h \) as show figure befow which carries a uniform line. charge \( \lambda \cdot \operatorname{Hint}(z \gg L) \)

21. Ball A is dropped vertically downwards from rest from height \( h \) and ball \( B \) is thrown horizontally with speed \( v \) from height \( h \) which of the statements is true? A. Ball A reaches first B. Ball B reaches first C. Both balls reach at the same time D. Ball B travels in a…

Mechanics

Prablever 207 Neglecting viscous disdparion had hasuenting a linenr lempersture wriation, determine the beal Nuscel number 7.35 Engine eil ast \( 17^{\circ} \mathrm{C} \) flows aver a flat plate. The free wrom welocity is I mich. The plate is beated in 30 * C , atarting at 10 cm from the…

Find text or tools Share Ask AI Assistant \begin{tabular}{|l|l|} \hline & QUESTIONS \\ \hline & \\ \hline 1. & \begin{tabular}{l} The criteria for heat transfer among the following is the difference in hot and cold fluid. \( \qquad \) between the \\ a) temperature \\ b) pressure \\ c) density…

A \( 120-\mathrm{mm} \)-wide steel bar with a butt-welded joint, as shown, will be used to carry an axial tension load of \( P=180 \mathrm{kN} \). If the normal and shear stress on the plane of the butt weld must be limited to 80 MPa and 45 MPa , respectively, determine the minimum thickness…

Due Date: Monday 18 \( { }^{\text {th }} \) August 2025 @ 4:06 pm \( \qquad \) Question 1 15 Marks A \( 1.00-\mathrm{kg} \) glider attached to a spring with a force constant of \( 25.0 \mathrm{~N} / \mathrm{m} \) oscillates on a frictionless, horizontal air track. At \( t=0 \), the glider is…

A ball is thrown vertically upwards with a speed of \( 20 \mathrm{~m} / \mathrm{s} \), and 2 s after that a stone is thrown vertically upwards with a speed of \( 24 \mathrm{~m} / \mathrm{s} \), At what height do they meet?

(a) \( 9 \mathrm{~m} / \mathrm{s} \) (b) \( 2.2 \mathrm{~m} / \mathrm{s} \) (c) \( 2 \mathrm{~m} / \mathrm{s} \) (d) \( 3 \mathrm{~m} / \mathrm{s} \) 36. Spider-Man steps from the top of a tall building. He falls froely from rest to the ground a distance of \( h \). He fa distance of \( h / 4…

35. If a flea can jump straight up to a height of 0.440 m , what is its initial speed as it leaves the ground? (a) \( 9 \mathrm{~m} / \mathrm{s} \) (b) \( 2.2 \mathrm{~m} / \mathrm{s} \) (c) \( 5 \mathrm{~m} / \mathrm{s} \) (d) \( 3 \mathrm{~m} / \mathrm{s} \) 36. Spider-Man steps from the top…

34. An antelope moving with constant acceleration covers the distance between two points 70.0 m apart in 7.00 s . Its speed as it passes the second point is \( 15.0 \mathrm{~m} / \mathrm{s} \). What is its speed at the first point? (a) \( 35 \mathrm{~m} / \mathrm{s} \) (b) \( 20 \mathrm{~m} /…

11. You find yourself pacing, in a deep thought about a physics problem. First you walk 12 meters due east. Then, you walk 6 meters due north. Then you doze off and find yourself 50 meters from your starting place, \( 30^{\circ} \) north of east. How far did you walk while you were not paying…

OGUN STATE INSTITUTE OF TECHNOLOGY, IGBESA Information Communication Technology THIRD SEMESTER 2023/2024 EXAMINATION ACADEMIC SESSION DEPARTMENT OF STATISTICS (ND1 Civil Engineering Department PT Students) \( 1|\mid \) i |||| C|SCO Networking Acadomy COURSE TITLE: CALCULUS COURSE CODE: NTH…

EXERCISE 16.1.2 1. The right-angle rule (or square) shown in figure hangs at rest from a peg as shown. It is made of a uniform metal sheet. One arm is L cm long, while the other is 2 L cm long. Find the angle \( \theta \) at which it will hang ( \( \sin \theta= \) .....?) a. \( \frac{1}{4}…

OGUN STATE INSTITUTE OF TECHNOLOGY, IGBESA Information Communication Technology THIRD SEMESTER 2023/2024 EXAMINATION ACADEMIC SESSION DEPARTMENT OF STATISTICS (ND1 Civil Engineering Department PT Students) \( 1|\mid \) i |||| C|SCO Networking Acadomy COURSE TITLE: CALCULUS COURSE CODE: NTH…

Ex 1 Consider a circular hole of radius ' \( a \) ' in an infante uniformly changis flat plate resupping Mir oy plane with sinface change densily \( \sigma \). Find the force on a change \( q \) lying in the I asys (will: condinati 2 ) alone the center of the circular tole. Gepintrical…

Instruction - This assignment consists of five (3) questions. Question 1 A fisherman in a boat on a lake counts crests of a wave passing the boat at a time interval of \( \frac{1}{2} \mathrm{~s} \) between successive crests. Each crest takes 1.5 s to travel the length of the boat ( 4.5 m ).…

Ex 1 Consider a circular hole of radius ' \( a \) ' in an infante uniformly changis flat plate resupping Mir oy plane with sinface change densily \( \sigma \). Find the force on a change \( q \) lying in the I asys (will: condinati 2 ) alone the center of the circular tole. Gepintrical…

11. The Nichrome unit \( (\rho=660) \) in a toaster has a resistance of 24 ohms. That is the resistance of a copper conductor of equal cross-sectional area, but 10 times as long as the Nichrome wire?

please explain the answer to the question in the image attached

Consider a circular hole of radius ' \( a \) ' in an infinite uniformly changs flat plate oceupring thi ay plane will sinface change densily \( \sigma \). Find the force \( m \) a change \( q \) bying in the I axis (will coordinati 2 ) above the centin of the circular hole.

Consider a circular hole of radius ' \( a \) ' in an infinite unifornly changs flat plate ocerpring thi ay plane with sirface change density \( \sigma \). Find the force \( m \) a change \( q \) bying in the \( I \) axis (will: coordinati 2 ) above the centin of the circulan hole.

A \( 120-\mathrm{mm} \)-wide steel bar with a butt-welded joint, as shown, will be used to carry an axial tension load of \( P=180 \mathrm{kN} \). If the normal and shear stress on the plane of the butt weld must be limited to 80 MPa and 45 MPa , respectively, determine the minimum thickness…

Consider a circular hole of radius ' \( a \) ' in an infinite uniformly changs flat plate oceupping the sy plane with sinface change denity \( \sigma \). Find the force \( m \) a change \( q \) bying in the I axis (will: coordinati 2 ) above the centin of the circulan thre.

Q.3. Define Instantaneous center of rotation (ICR). Crank \( A B \) of the engine system has a constant clockwise angular velocity of 200 rpm , which makes the angle \( 60^{\circ} \) with horizontal level. For the crank position shown in figure below, determine the angular velocity, angular…

Consider the situation in Figure 3.2. The uniform 600 N beam is r Figure 3.2 i) State two conditions of static equilibrium. ii) Draw the free body diagram of the system. iii) Find the tension in the tie rope.

2. When a lift is moving upward with acceleration of \( 5 \mathrm{~m} / \mathrm{s}^{2} \) then percentage change in the weight of the person in the lift is \( x \% \). If the lift is moving down with acceleration \( 5 \mathrm{~m} / \mathrm{s}^{2} \) then percentage change in the weight of \(…

5. Calculate the number of free electrons in a \( 100-\mathrm{ft} \) length of copper wire if its diameter is 0.46 in .

c) Consider the circuit shown in Figure 7.3, the batteries have negligible internal resistance. Use Kirchhoff's Laws to find: i) the currents \( I_{2} \) and \( I_{3} \) [4] \( \checkmark \) ii) the value of \( R \). [2] Figure 2.3 \[ \begin{array}{c} I_{1}=I_{2}+I_{3} \\ I_{2}…

5. Calculate the number of free electrons in a \( 100-\mathrm{ft} \) length of copper wire if its diameter is 0.46 in .

4) IDEAL AND REAL GASES: (a) In terms of specific heat, differentiate between an ideal and a perfect gas? And state Vander Waals' equation for a perfect gas. (b) Nitrogen of \( \mathbf{5 0 . . .} \mathbf{m}^{\mathbf{3}} \) volume is contained in a high altitude tank and is put into operation by…

2) VAPOUR POWER CYCLE (a) With illustrative diagrams (Schematic and T-S), discuss on one of the methods of improving the performance of a steam turbine system showing clearly the energy balance in the system process. (b) Identify the setback of the Carnot cycle and its improvement on the Ideal…

(iii) The Thermal Efficiency of the plant. For Air, take \( \mathbf{C}_{\mathbf{p}}=\mathbf{1 . 0 0 5} \mathbf{k J} / \mathbf{k g K} \) and \( \mathbf{y}=\mathbf{1 . 4} \). For the gases in the Combustion Chamber and Turbine, take \( \mathbf{C}_{\mathbf{p}}=1.14 \mathbf{k J} / \mathbf{k g K}…

Q 4b (i) if \( \Theta_{1}=3 \mathrm{rad} \) (clockwise) calculate the displacement of wheel 2,3 and 4. (ii) if \( \mathrm{w}_{1}=15 \mathrm{rad} / \mathrm{s} \). Calculate \( \mathrm{w}_{3} \) and \( \mathrm{w}_{4} \) (iii) if \( T_{1}=10 \mathrm{Nm} \) Calculate \( T_{2} \) and \( T_{3} \)

please complete the following question while strictly adhering to the expectations, and scientific/mathematical conventions of the SPH3U Course at all times: Near a Siberian Gulag, a надзиратели is supervising a Заключённый as he pushes a sled loaded with remains of deceased inmates for mass…

\[ B=\frac{\mu_{0} I}{2 \pi a_{\hat{p}}} \cdot \frac{l}{\sqrt{l^{2}+a^{2}}} \] \[ \text { 4) } \frac{4 \pi \times 10^{-7} \times 5}{2 \pi \times 6} \times s \]

Q5(a)State Routh-Hurwitz criterion for stability and apply this criterion determine (i)no of roots with positive real parts (ii)no of roots with zero real parts (iii)no of roots with negative real parts for the system below.

156 The vertical post is secured by three cables. The cables are pre-tensioned so that the resultant of the cable forces \( \mathbf{F}, \mathbf{Q} \), and \( \mathbf{P} \) is directed along the \( z \)-axis. If \( F=120 \mathrm{lb} \), find \( P \) and \( Q \). Fig. P1.56

2. Mulenga drifis 4 lcm east and then 3 km north in 5 minutes. Bithad is hes average (a) speed in \( \mathrm{m} / \mathrm{s} \) ? (b) veloaty \( 1 \mathrm{~m} / \mathrm{m} \) ?

\( 12: 30 \mathrm{pm} \) Refraction and Lenses Problem-Sets physicsclassroom.com - Show Answer Problem 2: Consider the three diagrams below. Measure the angle of incidence and of refraction (in degrees) for each of the three diagrams. Diagram B \( { }^{\top} \) Diagram C 71 - Audio Guided…

Readiness Crop Production and Management 1 2 3 4 5 6 7 8 9 10 \( \qquad \) is a separation technique used only when the components of a solid-solid mixture have different sizes. (A) Winnowing (B) Sieving (c) Threshing 10. Magnetic separation

Crop Production and Management 1 2 3 4 5 6 7 8 9 10 Which organism, usually living in the roots of bean plants, helps in the nitrogen replenishment of the soil? (A) Algae (B) Fungus C Bacterium (D) Virus Previous Question

A fully inflated balloon is placed in a jar connected to an evacuation pump, as shown. What would happen, if the air inside the jar is pumped out? 1. The balloon may shrink. 2. The number of gas particles in the balloon increases. 3. The pressure inside the jar decreases. (A) Only 1 B. Only…

https://app.acadally.com/student/boosterquizใhome=1\&start=1\&resourceValue=0\&pagestatus= Identify the statement(s) that holds true for an inflated balloon. 1. The air inside the balloon exerts pressure on the outer surface of its wall. 2. The atmospheric air exerts pressure on the outer…

When drinking a cold drink kept in a glass through a straw, why does the cold drink rise through the straw when the air is sucked out? (A) Because atmospheric pressure inside the straw and on the surface of the cold drink in the glass increases equally. (B) Because atmospheric pressure inside…

1 2 3 4 5 6 When drinking through a straw, why does the liquid rise when the air is sucked out? (A) Because the air pressure inside the straw increases relative to the atmospheric pressure on the liquid surface. (B) Because the air pressure inside the straw decreases relative to the…

1 2 3 4 5 6 Identify the statement(s) that holds true for an inflated balloon. 1. The air inside the balloon exerts pressure on the inner surface of its wall. 2. The atmospheric air exerts pressure on the outer surface of the wall of the balloon. 3. The knot of the balloon allows the air to…

Why are we not crushed under the immense force exerted on our bodies by atmospheric pressure? (A) Human body is resistant to external forces due to a strong skeleton. (B) Due to the equal pressure inside our bodies. (c) Due to the unbalanced forces acting on our bodies. D Atmospheric pressure…

1 2 3 4 5 6 Which of the following phenomena would not be possible in the absence of atmospheric pressure? (A) Friction between two surfaces in contact. (B) Pressure acting on objects underwater. (c) Rising of a liquid in a pipe when sucked from an open container. (D) Variation of liquid…

36. Water is accelerated by a nozzle to an average speed of \( 20 \mathrm{~m} / \mathrm{s} \), and strikes a stationary vertical plate at a rate of \( 10 \mathrm{~kg} / \mathrm{s} \) with a normal velocity of \( 20 \mathrm{~m} / \mathrm{s} \). After the striking the plate, the water stream…

https//app.acadally.com/student/boosterquiz?home=1\&start=1\&resourceValue=0\&pagestatus= The given figure shows a camel. It exerts a pressure of \( 2,000 \mathrm{~N} / \mathrm{m}^{2} \) on the ground. What is the force exerted by the camel on the ground, if the area of one foot is 0.25 \(…

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