In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 5.00 cos (4t+ (4t + 1/7) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. cm (b) At t = 0, find velocity of the piston. cm/s (c) At t = 0, find acceleration of the piston. cm/s² (d) Find the period and amplitude of the motion. period amplitude S cm
Q: A balloon filled with helium gas has an average density of ρb = 0.31 kg/m3. The density of the air…
A: The objective of the question is to express the weight of the balloon in terms of its density and…
Q: A 10.0 m see-saw platform is tilted upwards left to right at an angle of 30.0° with the horizontal.…
A: Length of the see-saw platform: Angle of tilt with the horizontal: Force (F) is applied at the right…
Q: Coulomb's Law 1. ke is the Coulomb force constant. It is the proportionality constant in the Coulomb…
A: The objective of the question is to find the units of the Coulomb force constant (ke) and to…
Q: how much force do the expanding gases in a gun barrel exert on a 6.0g bullet as it accelerates from…
A: The objective of the question is to calculate the force exerted by the expanding gases in a gun…
Q: Light from a pencil is refracted through a double convex (converging) thin lens. The pencil is at a…
A: (a) The diagram is in explanation.(b) The distance of the image from the lens is 15cm. (c) μ=3(d)…
Q: Given the following system of point charges: a positive point charge +q is placed in the middle,…
A: W=−6.43JExplanation:Step 1: Calculate the potential energy between each charge pair Let us denote…
Q: The angular acceleration of a wheel is a = 7.0t4 - 7.0t², with a in radians per second-squared and t…
A: The objective of the question is to find the expressions for the angular velocity and the angular…
Q: The drawing shows an A-shaped ladder. Both sides of the ladder are equal in length. This ladder is…
A:
Q: Q3) (ABET) The wire shown in the figure is uniformly charged with positive charge density. Show and…
A:
Q: The uniform solid block in the figure has mass 38.6 kg and edge lengths a = 0.780 m, b = 1.82 m, and…
A: 50.45 kg.m2Explanation:
Q: ✓ The earth's mass is 90 times that of moon and their diameters are in the ratio 4 : 1. What is the…
A: The objective of the question is to find the value of the acceleration due to gravity (g) on the…
Q: Problem 12: A simple and common technique for accelerating electrons is shown in the figure, which…
A: N/C
Q: In which situation below will the electromagnetic wave be more successful in inducing acurrent in…
A: So the answer is (a)Explanation:This is a question from Electromagnetic induction. In figure (a) E…
Q: A 0.400kg of ice is initially at temperature of -15.0 deg C. How much heat is required to melt one…
A:
Q: swimming pool has dimensions 26.0 m x 11.0 m and a flat bottom. The pool is filled to a depth of…
A:
Q: -) Calculate the pressure di = 13.6 Dw= 9.806 KN/m³: SGmercury = between A and B. A+ water 30 cm…
A:
Q: Baffles are provided in heat exchangers to increase the a. Fouling factor b. Heat transfer area c.…
A:
Q: Prove that the “cycle” consisting of only two adiabatic steps (reversible expansion and then…
A: The objective of the question is to prove that a thermodynamic cycle consisting of only two…
Q: AP Physics 1 Torque, Angular Momentum Problems 1. In a hurry to catch a cab, you rush through a…
A: (1): Torque on the body is given by:τ=rFsin(θ)where, r is the perpendicular distance from the…
Q: Using nodal analysis, find the sign and magnitude of vo (in Volts) for the circuit shown 60 200
A: The schematic diagram of the circuit is;
Q: 1. Drops frequently form above the ocean by the mechanical disruption of waves in strong winds. How…
A:
Q: (Figure 1) illustrates an Atwood's machine. Let the masses of blocks A and Bbe 8.50 kg and 1.00 kg ,…
A: a)The acceleration of block A is 2.97s2m in downward direction.b)The acceleration of block B is…
Q: NAME: DATE: ELECTROMAGNETISM magnetic electromagnetic electric ferromagnetic primary electromagnet…
A: 1. All magnets consist of a pair of poles, called a dipole which consist of a north and a south…
Q: A 159-turn circular coil of radius 3.99 cm and negligible resistance is immersed in a uniform…
A: Given: Number of turns Radius of coil Initial magnetic field Final magnetic field Change in magnetic…
Q: Sound levels measure in decibels using the function d, B, equals, 10, left bracket, log, I, plus,…
A:
Q: Problem 3: A yo-yo has a center shaft with a 0.25 cm radius. a) If the string is held fixed and the…
A:
Q: chapter 25: Problem 9: A beam of light moves through a slab of glass as shown in the figure. The…
A: All parts are solved below.Please give helpful rating.Explanation:
Q: The figure shows a cross section through a very large nonconducting slab of thickness d=9.40 mm and…
A:
Q: An accumulator with U1=150 V and negligible internal resistance is connected to a voltage divider as…
A: The objective of the question is to calculate the voltage across the load in different scenarios…
Q: Problem 7: Consider the situation in the figure - a student diver in a pool and an instructor on…
A: The apparent depth of the diver's head below water is 0.340 m. Explanation:Step 1:
Q: A battery with e m f = 4.00 V and no internal resistance supplies current to the circuit shown in…
A: Solution:Given:The emf of the battery is ϵ=4VWhen the switch S is open then the current in the…
Q: A bicycle racer is going downhill at 12.9 m/s when, to his horror, one of his 2.27 kg wheels comes…
A: Part A : 30.8287 m/s Part B : 2157.43 JExplanation:
Q: A concave spherical mirror has a radius of curvature whose absolute value is 17.2 cm . An object is…
A: The objective of this question is to calculate the image distance and magnification of an object…
Q: Two identical bar magnets are placed rigidly and anti-parallel to each other as shown. At what…
A:
Q: An MRI technician moves his hand from a region of very low magnetic field strength into an MRI…
A: The objective of this question is to find the average electromotive force (emf) induced in the…
Q: yo-yo with an inner cylinder of r = 3.5 cm and outer radius of R = 6.50cm is at rest on a theta = 30…
A: Detailed explanation is given below, any further doubts can be asked. ThankyouExplanation:
Q: A piece of copper wire has a resistance per unit length of 5.40 × 10³/m. The wire is wound into a…
A: Write the provided data.Here, is the resistance per unit length, r is the radius, and V is the…
Q: include units
A: a)The rotational inertia is 0.0248267kgm2b)The kinetic rotational energy is…
Q: Question on parapola applications in pre-calculus 11. Question: A basketball hoop is hung on a wall,…
A: The objective of this question is to find the distance from the wall to the middle of the basketball…
Q: A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes 43.0…
A: Approach to solving the question: Detailed explanation: Examples: Key references:
Q: 6. Acceleration due to gravity and centripetal acceleration of the moon The Moon remains in its…
A: The objective of the question is to understand why the Moon remains in its orbit around the Earth…
Q: Problem 7: A merry-go-round (uniform disk) has a mass of 120 kg and a radius of 1.8 m. It is…
A:
Q: Problem 4: To get it spinning, you exert a force of 180 N perpendicular to the radius of a 0.28 m…
A:
Q: Current Attempt in Progress A flywheel is a solid disk that rotates about an axis that is…
A: The objective of the question is to find out the speed at which a flywheel would have to rotate to…
Q: Three resistors are connected as shown below. R1 = 3.0 Ω, R2 = 6.0 Ω, and R3 = 8.0 Ω. The voltage…
A: I1 = 4.0 AExplanation:To solve the problem, we will first treat R1 and R2 as a single entity, R12,…
Q: phy.1
A: The objective of the question is to find the magnitude of the magnetic field. The force required to…
Q: A golf ball is moving at speed vo to the East. After deflecting off a tree, it moves at a speed of…
A: The objective of the question is to determine which of the given statements are true regarding the…
Q: During a transcranial magnetic stimulation (TMS) treatment, a magnetic field, typically of magnitude…
A: The objective of this question is to calculate the magnitude of the average induced electromotive…
Q: Then, why the answers are different when I use different formulas, dB= 10log (I/ I0) and I= I0…
A: We need to explain why the answers are different when the student used different formulas, dB= 10log…
Q: A narrow beam of ultrasonic waves reflects off the liver tumor as shown in the figure. The speed of…
A:
Step by step
Solved in 2 steps
- The velocity of a rocket is given as a function of time by v(t) = A(1 – e-bt) for 0 , t , 30 s, where the constants A = 150 and b = -0.15. [ d/dx (e-ax dx) = -a e-ax; ∫ e-ax dx = -1/a e-ax ] a) What are the SI units of A and b? b) What is the speed of the rocket at t = 10 s? c)Find the displacement of the rocket in the first 10 s ( from t = 0 s to t = 10 s)1. A 1.35 kg object moves as function of time as follows: x=5 cos(1.27t+π/5), where distance is measured in metres and time in seconds.Milk is poured into a bowl at a constant rate of 17.0 cm3/s. The bowl has a circular cross section, but does not have a uniform diameter. (That is, different horizontal cross sections taken at different heights of the bowl have different diameters.) (a) As the milk fills the bowl, the milk level reaches a point where the diameter of the bowl is d1 = 1.45 cm. What is the rate (in cm/s) at which the milk level rises at this diameter? (b) As the milk continues to fill the bowl, the milk level reaches a point where the diameter of the bowl is d2 = 5.30 cm. What is the rate (in cm/s) at which the milk level rises at this diameter?
- You want to calculate the area of your dorm room which is in a rectangular shape. You measure the length and the width of the room as L = 5.6 ± 0.1 m, W = 4.2 + 0.1 m. What is the absolute error in the area in m² units?ers, tra 33(0.001) cm = 0.283 cm Before making a measurement, check to ensure that the reading is zero when the jaws are closed. Otherwise the zero error must be allowed for when the reading is taken. 1 How many millimetres are there in a 1cm, b 4cm, c 0.5 cm, d 6.7 cm, e 1m? 2 What are these lengths in metres: a 300 cm, b 550 cm, c 870cm, d 43 cm, e 100mm? 3 a Write the following as powers of ten with one figure before the decimal point: 100 000 3500 428 000 000 504 27056 b Write out the following in full: 103 2 x 106 6.92 x 104 1.34 x 10² 109 4 a Write these fractions as powers of ten: 1/1000 7/100 000 1/10 000 000 3/60000 b Express the following decimals as powers of ten with one figure before the decimal point: 0.5 0.084 0.000 36 0.001 04 do Questions 213 1 cm. rately Figu 11Angular momentum (L) of a thin slice rotating around an axis is given by 1. L = mr"wm where w is angular velocity, defined as w = 2nf The SI unit of L is kg.m²/s. r is the radius, m is the mass and fis the frequency. Find the values of n and m by doing dimensional analysis.
- Why is it km and not meters, if c = 3x10^8 m and G has meter in the constantAfter Dan makes a basket, Josephine claims she can find the amount of time the ball was in the air (from the time it leave's Dan's hand to the time it enters the basket). 10 ft Josephine says she can do this by using Dan's equation ( h (t) = - 16t2 +18t + 8) and setting the equation equal to zero. Dan doesn't think Josephine's thinking is correct. Who do you agree with? Explain your reasoning using mathematical evidence. 0/10000 WordI need help with a math question: Given that x = position, v = velocity, a = acceleration, m = mass. Which of the following will have units of kg * m/s^2 and why? m ∫ a dt m ∫ v dt 1/2m dv^2/dx m ∫ x dt 1/2m dv^2/dt m dx/dt m dv/dt m da/dt 1/2m ∫ v^2 dt I am including an image/reference table. Thanks!
- Iron has a density of 7.87 g/cm3, and the mass of an iron atom is 9.27 * 10-26 kg. If the atoms are spherical and tightly packed, (a) what is the volume of an iron atom and (b) what is the distance between the centers of adjacent atoms?身 The (Figure 1) shows two thin beams joined at right angles. The vertical beam is 16.0 kg and 1.00 m long and the horizontal beam is 21.0 kg and 2.00 m long. Neglect the lateral dimensions of the beams. レ <. Figure 1.00m 0- 00mlYour heart continually pumps 5 gallons of blobd throughout your cardiovascular system. The blood moves fastest when exiting the heart at 6.3 miles per hour, and the speed decreases linearly by 0.25 miles per hour as it moves through the body. Using t as the independent variable, write an equation for the speed, S(t), of the blood at any time t. s(t) =