lab report 3 - PHY2053L

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A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t 0, the resulting mass-spring system is disturbed from its rest state by the force F(t) = 170 cos(81). The force F(1) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. a. Determine the spring constant k. k = Newtons / meter b. Formulate the initial value problem for y(t), where y() is the displacement of the object from its equilibrium rest state, measured positive in the downward direction. (Give your answer in terms of y, y'.y". t) Differential equation:| help (equations) Initial conditions: y(0) and y'(0) = help (numbers) c. Solve the initial value problem for y(1). y(t) =help (formulas) d. Plot the solution and determine the maximum excursion from equilibrium made by the object on the time interval 0 st< o. If there is no such maximum, enter NONE. maximum excursion = meters help (numbers)

Quantitative Analysis - Work, kinetic energy, and gravitational energy For each of the following situations: a. Choose an initial and final state (states A and B) that will be appropriate (interesting) for analysis. b. If there is not already a physical diagram of the situation and there should be one for proper analysis, include one. c. Construct a system schema of the situation. Do not forget to include the system boundary for the system specified by the problem. Choose your system wisely. d. Construct an energy bar chart and system flow diagram (LOL plots) for each problem. e. You are allowed to add other energy storage modes. You do not have to use the energy storage modes that are printed in each LOL plot. f. Find the unknown value. 1. A heavy, 100-kg anvil is dropped from the top of a tower that is 200 m tall. Once it reached the floor, it caved 10 cm into it before stopping. Calculate the average force the ground exerted on the anvil to stop it. System/Flow E, E, E, E, Position…

02 Point material of mass 1 Kgr moves along the x-axis under the influence force F, which opposes the motion and is proportional to its square of speed with proportionality constant B=2. There is no gravity. A) Find the velocity and position of the material point for t > 0, if for t = 0 u = 2 m/s and x=0. B) Investigate your results: 1) if they satisfy the initial conditions, 2) if they have the right dimensions and 3) if in the limit t →∞ they logically give and expected results.

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A body is falling freely under the action of gravity alone in vacuum. Which of the following statements is NOT true? a. The acceleration of the object remains constant O b. Total mechanical energy increases O c. The speed of the object increases with time O d. Gravitational potential energy is transformed to kinetic energy

QUESTION 2 Problem A new type of force was discovered by physicists with the following expression: Fnew + Be* +3x where alpha & beta are constants, and x is the position. The expression above was obtained from the interaction of a massless Higgs Boson (a type of particle) and a black hole. Quantum physicists then decides to design and build a machine that is able to move the Higgs Boson from x2 to x1. How much work should the machine do to achieve this feat? (For simplicity, consider that no energy is lost in the process) Solution To determine the work done we apply the following W: dx Evaluating the above, we get W = e for the limits from x¡ to xf substituting x, and x2 as the limits, the work done is expressed as

An 1800 kg car starts from rest and accelerates to 25.0 m/s in 16.0 s. The force of air resistance on the car is constant and equal to 450 N. Find: A. the car's acceleration B. the force exerted by the engine C. the work done by the engine

QUESTION 2 Problem A new type of force was discovered by physicists with the following expression: a Fnew + Be* + 3x4 %3D where alpha & beta are constants, and x is the position. The expression above was obtained from the interaction of a massless Higgs Boson (a type of particle) and a black hole. Quantum physicists then decides to design and build a machine that is able to move the Higgs Boson from x, to x1. How much work should the machine do to achieve this feat? (For simplicity, consider that no energy is lost in the process) Solution To determine the work done we apply the following W = dx Evaluating the above, we get W = for the limits from xj to Xf substituting x1 and x, as the limits, the work done is expressed as | + Bi X1 W = x15 - x25 )

Calculate the force that a 5 kg block exerts as it rests on the Earth's surface. Assume the gravitational acceleration of Earth is 9.8 m/s2 Calculate the force that a 247 g block exerts as it rests on the Earth's surface. Assume the gravitational acceleration of Earth is 9.8 m/s?

In this problem you will measure the gravitational constant in a series of “observational experiments,” making use of Newton’s law of gravitation and second law of motion as well as Kepler’s third law of planetary motion Part (a)  Newton measured the centripetal acceleration of the moon in its orbit around Earth by comparing the force Earth exerts on the moon with the force Earth exerts on an apple. He obtained a value of ac = 2.72×10-3 m/s2. If Newton had taken the mass of Earth to be ME = 6.01×1024 kg and the mean distance between the centers of Earth and the moon to be RME = 3.85×108 m, what value would he have obtained for the gravitational constant, in units of N⋅m2/kg2?  G = 6.685 * 10( - 11 )G = 6.685E-11     ✔ Correct!     Part (b)  Since measuring the centripetal acceleration of an orbiting body is rather difficult, an alternative approach is to use the body’s rotational period instead. Enter an expression for the gravitational constant, in terms of the distance…

Part A A baseball thrown at 100 mph, about the limit of what a professional pitcher can do, slows to 94 mph on its way to the plate. What fraction of its initial kinetic energy is lost? Express your answer using two significant figures. Klost K; %3D Submit Previous Answers Request Answer

QUESTION 4 Problem A new type of force was discovered by physicists with the following expression: a Fnew + Be* + 3x where alpha & beta are constants, and x is the position. The expression above was obtained from the interaction of a massless Higgs Boson (a type of particle) and a black hole. Quantum physicists then decides to design and build a machine that is able to move the Higgs Boson from x2 to x1. How much work should the machine do to achieve this feat? (For simplicity, consider that no energy is lost in the process) Solution To determine the work done we apply the following W = dx Evaluating the above, we get W = for the limits from xj to xe substituting x1 and x2 as the limits, the work done is expressed as W = Bi x1 ( x15

Referring to the figure below: a. Set up the equations of motion that is required to solve the problem. b. Determine the magnitude of W in the figure so that the 200 lb. body will have an acceleration up the plane of 4.025 fps^2. 200 lb =0.20 30° W Ib

When is a force acting on an object considered to be conservative? a.when it obeys Newton's laws of motion b.when it acts in the direction of motion of the body c. when it results in a change in the objects kinetic energy d. when the work it does is independent of the path of motion

1. Calculate the work done on the suitcase by  F→. Express your answer with the appropriate units. 2. Calculate the work done on the suitcase by the gravitational force. Express your answer with the appropriate units. 3.Calculate the work done on the suitcase by the normal force. Express your answer with the appropriate units. 4. Calculate the work done on the suitcase by the friction force. Express your answer with the appropriate units. 5. Calculate the total work done on the suitcase. Express your answer with the appropriate units. 6. If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 3.90 mm along the ramp? Express your answer with the appropriate units.

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