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Physics 101 Mechanics
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Physics 101 Mechanics
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May 23, 2023
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May 23 of 2023
The following diagram shows Andre's route through a maze. He started from the lower right entrance. 1. What are the coordinates of the first two and the last two points of his route? 2. How far did he walk from his starting point to his ending point? Show how you know.
Un cuerpo de \( 2 \mathrm{~kg} \) parte del punto A por la pista de la figura. Si \( \mu=0 \), calcular: a) La velocidad del cuerpo en el punto B,C, y D b) Si la constante elástica del resorte es \( \mathrm{k}=280 \mathrm{~N} / \mathrm{m} \), cuánto se comprime el resorte
Application If a rock was thrown horizontally, \( 14 \mathrm{~m} / \mathrm{s} \) off of a \( 65 \mathrm{~m} \) high cliff, how long would it take to hit the ground? How much horizontal distance would it travel? Draw a diagram and calculate below.
A solid cylinder with mass m and radius R is held in position on a 30° slope by means of a horizontal string; see figure below. Determine the minimum friction angle φ required between the cylinder and the slope for static equilibrium.
Example 1.22. If the surface tension at air-water interface is \( 0.069 \mathrm{~N} / \mathrm{m} \), what is the pressure difference between inside and outside of an air bubble of diameter \( 0.009 \mathrm{~mm} \) ?
I was able to solve the first part and get 424N, but Im a bit stuck on the second part
A 7.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? N/m
A 50.0 kg skier with an initial speed of 14.0 m/s coasts up a 2.50 m high rise as shown in the following figure. Find her final speed at the top (in m/s), given that the coefficient of friction between her skis and the snow is 0.0800. (Hint: Find the distance traveled up the incline assuming…
of \( 200 \mathrm{~m} / \mathrm{s} \). Find the displacement of a particle at a distance of \( 0.7 \mathrm{~m} \) from the origin Also find the phase difference between the point where wave reaches from the origin \[ \begin{array}{ll} =0.01 \mathrm{~m} & y=0.0 \sin \left[2…
exchanger? (e) With the same compressor capacity as in (c), what is the refrigerating capacity of the system with the heat exchanger?
(a) Calculate the coefficient of performance of the system without the heat exchanger but with the condensing temperature at \( 30 \mathrm{C} \) and an evaporating temperature of \( -10 \mathrm{C} \). (b) Calculate the coefficient of performance of the system with the heat exchanger? (c) If the…

A vector has a y-component of 37 and it's direction is 9.2 ^ a north of west. What is the magnitude of the vector?
A force F has the components Fx = 20 lb, Fy = -30 lb, Fz = 60 lb. Determine its magnitude f and the angles ux, uy, uz it forms with the coordinate axes.
The two measuring jugs below each contain some orange juice. a) Which of the jugs contains more juice? b) How much more juice, in millilitres \( (\mathrm{ml}) \), does this jug contain?
Calculate the magnitude of the tension \( \mathrm{T} \) and the anghe 9 for which the ore bolt ail be uncer a resultant downward force of \( 16,7 \mathrm{kN} \). Assume \( \mathrm{F}=9.9 \mathrm{kN}, \mathrm{P}=5.5 \mathrm{kN}, \phi=40^{\circ} \) Arswers:
Calculate the magnitude of the tersion \( T \) and the angle \( \theta \) for which the che Bort wit be under a resultant downward force of \( 16.7 \mathrm{kN} \). Assume \( F=9.9 \mathrm{kN}, P=5.5 \mathrm{kN}, \phi=40^{\circ} \)
This assignment consists of 3 queations and 7 QUESTION 1 Prudence wants to paint the tront of the touse. She has mo identica windows as weil as a circular went ntab the roof Use Fortakie, to answer the questions that follow. Aren \( =L \times B \) \[ \text { Arca }=2 \pi \times…
On considère la caractéristique d'un conducteur ohmique \( D_{1} \) représentée dans la figure 1 : 1. S'agit-il d'un dipôle passif ou actif ? Justifier votre réponse. Calculer la résistance \( R_{1} \) du conducteur ohmique \( D_{1} \). On branche le conducteur précédent dans le circuit de la…
\( \underline{2^{e ? m e}} \) année collégial \( \begin{array}{r}\text { Série } \\ \text { tension électrique } \\ \hline\end{array} \) Exercice1 On réalise le montage électrique suivant : 1) Nommer l'appareil permettant de mesurer: a) La tension éecrique aus bomes de la lampe \( L_{1} \). Pe…
18 An object of weight \( 15.0 \mathrm{~N} \) is pulled along a horizontal surface at a constant velocity of \( 2.00 \mathrm{~m} \mathrm{~s}^{-1} \). The force pulling the object is \( 12.0 \mathrm{~N} \) at \( 30.0^{\circ} \) to the horizontal, as shown. What is the power used to move the…
17 A trolley of mass \( 600 \mathrm{~kg} \) is initially at point \( P \) on a slope, at a height of \( 80 \mathrm{~m} \) above ground level, as shown. The trolley is released from rest and moves along the slope, first coming to rest at point Q, at height \( h \) above ground level. The total…
RE: answer to problem 11 in "Mechanics" by Keith R Symons I see how you get the integrated expression for -bt/m but how do you get the v(t)? Please provide a step-by-step solution. Thank you!
(Gawaing Pasulat \# 3) Basahing mabuti ang ulat, suriin ito at iwasto ang pagkakamali. Gawing basehan ang ulat na nasa itaas. Nakita na ang isa sa nawawalang apat na antigong biyulin ng "violin king" ng Lipan na si Ernesto Vallejo. Sinasabi na puno ng trahedya ang naging buhay ng limot na…
Type question here (Keep it short & clear to get the best answer)
The system is in equilibrium. The crate has mass \( 100 \mathrm{~kg} \). What is the tension in \( A B \) ? Select one: \( 700 \mathrm{~N} \) \( 712 \mathrm{~N} \) \( 694 \mathrm{~N} \) \( 685 \mathrm{~N} \) Check
Las . Conservision of m 1. A \( 10 \mathrm{~kg} \) bowling ball is moving at a velocity of \( 20 \mathrm{~m} / \mathrm{s} \). What will be the Velocity of \( 10 \mathrm{~kg} \) after the collision of the two balls ?
Current issue in singapore
1. A 5000 Rural transit is traveling from Agora terminal at a speed of \( 60 \mathrm{~m} / \mathrm{s} \) to \( 80 \mathrm{~m} / \mathrm{s} \) going to Malabalay City. What is the impulse?
1. A 9000 Rural transi is traveling from Agora terminal at a speed of \( 60 \mathrm{~m} / \mathrm{s} \) to Bomis going to Maiabalay Cay. What is the impuise?
- What views did Franklin have as stated in the excerpt? - What actions did Franklin take to achieve his views? - What words are unique to Franklin's excerpt?
A 1200 kg car travels along a street at 18 I m/ s. When it comes to an intersection, it does not stop and it collides with a 2500 kg truck travelling at 11 j m/s. The car and the truck become completely entangled in the collision. What is the magnitude and direction of the velocity of the…
Q.3. An abandoned municipal bridge collapsed recently in Samta Nagar. Write a report based on the headline 'Saved from a Catastrophe', describing the situation and the issues faced by the people. \( [5] \)
2. Make use of the following hints and write a short story in about 120 words. Give your story a suitable title and make it interesting by including some dialogue and adding details to characters and places. Jenny had tears in her eves - her result was out - topped the school - very happy -…
Example 5 Starting from rest, a Formular One car accelerates uniformly at \( 25 \mathrm{~m} / \mathrm{s}^{2} \) for \( 30 \mathrm{~s} \). What distance does it cover in the (i) last one second of motion. (ii) seventeenth second of motion. Solution The distance in the last one second of motion…
Fixamples Starting from rest, a Formular One car accelenates oniformly at \( 25 \mathrm{~m} / \mathrm{s}^{2} \) for \( 30 \mathrm{~s} \). What distance ches it cover in the (i) last Gne secrad of motics. (ii) seventerith seccid of motion. Sourion
- Solve the following problems, Show the given, your solution, and box your final answer with the appropriate unit of measurement. 1. A volleyball is served at an angle of \( 35^{\circ} \) with an initial speed of \( 5 \mathrm{~m} / \mathrm{s} \). What is the maximum height reached by the ball?
You made a machine that can punch 10mm hole on a 3mm steel plate. Let say that the shear strength of steel is 2.5x108 Pa. What is the amount of force exerted by the puncher on the steel?
single hair strand can resist up to 260x106 Pa and its diameter is 50x10-6 m. How many strands of hair is needed to withstand a person weighing 50kg?
Given G = 6.67x10-11 N m2 kg-2 1. Four identical masses of 800 kg each are placed at the corners of a square whose side length is 10.0 cm. Determine the nett gravitational force on one of the masses, due to the other three.
CASE 2: THROWN DOWNWARD FORMULA: \( v_{i}=- \) (negative) \( \mathrm{d}=\mathrm{v}_{\mathrm{i}} \mathrm{t}-1 / 2 \mathrm{gt}^{2} \) \[ \begin{array}{l} \mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^{2} \quad \mathrm{t}=\mathrm{v}_{\mathrm{f}}-\mathrm{v}_{\mathrm{i}} /-\mathrm{g}…
A coin is tossed Vertically upward. at \( 3 \mathrm{~m} / \mathrm{s} \) a. Calculate the maxim um height before if falls back. b. How long will it take take to return to the
CASE 2: THROWN DOWNWARD FORMULA: \( v_{i}=- \) (negative) \( d=v_{i} t-1 / 2 \mathrm{gt}^{2} \) \( v_{f}=v_{i}-g t \)
What is the acceleration of an object moving on a circular path of 1.5 m if it has an acceleration of 3.5 m/s2 and an angular acceleration of 1.2 rad/s2?
3. The point of support of a simple pendulum of length \( b \) moves on a massless rim of radius \( a \) rotating with constant angular velocity \( \omega \). Obtain the expression for the Cartesian components of the velocity and acceleration of the mass \( m \). Obtain also the angular…
3.(a)(i)Consider a state \[ \left|\psi>=\frac{1}{\sqrt{15}}\right| \phi_{1}>+\frac{1}{\sqrt{3}}\left|\phi_{2}>+\frac{1}{\sqrt{5}}\right| \phi_{3}> \] where \( \left|\phi_{1}>,\right| \phi_{2}> \) and \( \mid \phi_{3}> \) are three orthonormal eigen states of an operator \( \hat{B} \) such that…
2. The point of support of a simple pendulum of mass \( m \) and length \( b \) is driven horizontally by \( \mathrm{x}=\operatorname{asin} \omega t \). Find the pendulum's equation of motion.
1. A 100 cm metal bar expands by 2.30 mm when heated by 100 Co. Another bar, also 100 cm long, expands by 1.10 mm when heated to the same change in temperature. A third bar, of the same original length but composed of each material laid end-to-end, expands by 1.46 mm. Determine the lengths of…
An astronaut is standing on the surface of Mars where the acceleration due to gravity is 3.8 m/s^2. She holds a 300 g ball a distance of 1.00m above the surface of Mars and drops it. How long (in s)does it take to fall?
an automobile starting from rest speeds up to 12.35 m per sec with a constant acceleration of 1.25 m/s 2 , runs at this speed for a time, and finally comes to rest with a deceleration of 1.62 m s 2 ⁄ . if the total distance traveled is 1005 ft
Defining an energy conversion efficiency, ne, as the ratio of the converted energy to the original energy, tabulate and graph, ne, as a function of the height of the fluid, h, for your experimental data
Two blocks are connect by a massless string that passes over a frictionless pulley, as shown in the figure below. Block 2 falls vertically, causing block 1 to slide along a frictionless table, as shown. Using the concept of energy conservation, find the speed of the blocks after they have moved…
Find the magnitude of gravitational force a 66.5kg person would 
how much would a 90 kg astronaut weigh on ceres
In an amusement park, a car rolls along a track as shown in the figure below. If the car starts by rolling forward from rest at the top of the first hill, what will the car's velocity be when it arrives at point (B) if we neglect any friction.
A 100-g toy car moves along a curved frictionless track. At first, the car runs along a flat horizontal segment with an initial velocity of 2.96 m/s. The car then runs up the frictionless slope, gaining 0.124 m in altitude before leveling out to another horizontal segment at the higher level. …
A child with a mass of 23.4 kg sits in a sled at the top of a hill that is 10.9 m high. Assuming no energy is lost to friction as the child slides down a hill. What is the child's kinetic energy at the bottom of the hill?
Calculate the amount of work (in Joules) required for your heart to pump 1.65 g of blood from heart level to your head over a distance of 20 cm. Ignore the energy returned to the system by "falling" blood in the veins.
Question 1 4 pts Which of the following are requirements for simple harmonic motion? (choose all that apply) The restoring force is directly related to the distance from equilibrium. The restoring force is directed away from equilibrium. The restoring force is inversely related to the distance…
A solid cylinder with mass m and radius R is held in position on a 30° slope by means of a horizontal string; see figure below. Determine the minimum friction angle φ required between the cylinder and the slope for static equilibrium.
I was able to solve the first part and get 424N, but Im a bit stuck on the second part
A 7.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? N/m
A vector has a y-component of 37 and it's direction is 9.2 ^ a north of west. What is the magnitude of the vector?
A force F has the components Fx = 20 lb, Fy = -30 lb, Fz = 60 lb. Determine its magnitude f and the angles ux, uy, uz it forms with the coordinate axes.
The two measuring jugs below each contain some orange juice. a) Which of the jugs contains more juice? b) How much more juice, in millilitres \( (\mathrm{ml}) \), does this jug contain?
A 1200 kg car travels along a street at 18 I m/ s. When it comes to an intersection, it does not stop and it collides with a 2500 kg truck travelling at 11 j m/s. The car and the truck become completely entangled in the collision. What is the magnitude and direction of the velocity of the…
What is the acceleration of an object moving on a circular path of 1.5 m if it has an acceleration of 3.5 m/s2 and an angular acceleration of 1.2 rad/s2?
An astronaut is standing on the surface of Mars where the acceleration due to gravity is 3.8 m/s^2. She holds a 300 g ball a distance of 1.00m above the surface of Mars and drops it. How long (in s)does it take to fall?
Two blocks are connect by a massless string that passes over a frictionless pulley, as shown in the figure below. Block 2 falls vertically, causing block 1 to slide along a frictionless table, as shown. Using the concept of energy conservation, find the speed of the blocks after they have moved…
In an amusement park, a car rolls along a track as shown in the figure below. If the car starts by rolling forward from rest at the top of the first hill, what will the car's velocity be when it arrives at point (B) if we neglect any friction.
A 100-g toy car moves along a curved frictionless track. At first, the car runs along a flat horizontal segment with an initial velocity of 2.96 m/s. The car then runs up the frictionless slope, gaining 0.124 m in altitude before leveling out to another horizontal segment at the higher level. …
A child with a mass of 23.4 kg sits in a sled at the top of a hill that is 10.9 m high. Assuming no energy is lost to friction as the child slides down a hill. What is the child's kinetic energy at the bottom of the hill?
Calculate the amount of work (in Joules) required for your heart to pump 1.65 g of blood from heart level to your head over a distance of 20 cm. Ignore the energy returned to the system by "falling" blood in the veins.