Consider an object moving along the circular trajectory r(t) = (A cos wt,A sin ot), where A and are constants. Answer parts a through e. a. Over what time interval [0,T] does the object traverse the circle once? The interval is [0]. lic
Q: 15. A 250 m wide river flows at 0.80 m/s. A girl swims across it at 1.50m/s relative to the water.…
A: GivenWidth of the river W =250mVelocity of the stream vr = 0.80 m/sVelocity of the girl vg = 1.5m/s
Q: Two blocks connected by a cord passing over a small, frictionless pulley rest on frictionless…
A:
Q: 6. In one of Gallileo's famous "thought" experiments he imagined that a cannonball was dropped for…
A: Since the ship is moving so when the canon ball is dropped, it will have the same horizontal…
Q: A block of mass 1.7 kg is attached to a horizontal spring that has a force constant 1100 N/m as…
A:
Q: Two-point charges q1 and q2 both have a charge equal to +6.0 nC and are on the y axis at y1=+3.0 cm…
A:
Q: The magnetic field 35.5 cm away from a long, straight wire carrying current 1.95 A is 1.10 μT. (a)…
A: The formula for the magnetic field produced by a long, straight wire at a distance r from the wire…
Q: 1280 kg car pulls a 350 kg trailer. the car exerts a horizontal force of 3.6 x 103 N against the…
A:
Q: Find the mass of the solid bounded by the planes x+z=1, x-z=-1, y = 0, and the surface y=√z. The…
A:
Q: In order to increase the amount of exercise in her daily routine, Tara decides to walk up the six…
A: Given :Tara walks six flights with 12 steps each.Height of one step= 18 cm= 0.18 mMass of Tara m=…
Q: An electron is initially at rest at distance 0.15 m from a fixed charge Q = -5.00×10-⁹ C. The…
A:
Q: volume charge density ρ = 2.655 × 10−10C/m3. A spherical cavity of radius 1m is then carved out from…
A: Electric field at any point inside a spherical cavity for a uniformly charged spherical body is…
Q: Standing near a lake, you notice waves created by the wind. You measure the distance between…
A:
Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.20 mm, if the wire…
A:
Q: A teflon block (m = 80 g) is initially at rest when it is launched horizontally across a level…
A:
Q: v fast e T 6 Med. с 1 T ナ (MS-1) slow 1 6 4 Time (5) 2 ठे
A: A qualitative velocity-time graph provides information about an object's motion over time without…
Q: Question 41 All the horizontal forces acting on a crate are shown in the figure below. There is…
A:
Q: Which of the following phenomenon can be explained by the corpuscular theory of light? 1. Reflection…
A: The corpuscular theory of light states that light is made up of tiny particles, or "corpuscles,"…
Q: A 0.125 m3 container is filled with 1.25 kg of air at 30°C. What is the pressure in the container in…
A:
Q: 11. The velocity of an object is given by v = Dt³, where D is a constant in m/s* and t is time in…
A: The velocity is given by v = Dt3 where D is constant in m/s4 and t is in seconds.We know that…
Q: QUESTION 18 A second firework shell is launched with an initial velocity of 62.3 m/s at an angle of…
A:
Q: Blocks with masses of 3.0 kg. 5.0 kg. and 7.0 kg are lined up in a row on a frictionless table. All…
A: Blocks of masses 3kg,5kg,7kg15N force applied to the 3 kg block.To find: (a) force exerted by 5 kg…
Q: steel rod (ρ = 7860 kg/m3) has a length of 4.06m. It is bolted at both ends between immobile…
A:
Q: 16. The navigator of an airplane plans a flight from one airport to another 1500.0 km away, in one…
A:
Q: Practice 1: In the picture below, the red graph represents the graph of a position function f(x)…
A: And So
Q: The figure below shows a particle initially at point A traveling in the +x-direction. It turns in a…
A:
Q: Marcus, whose mass is 80 kg, is in an elevator descending at 10 m/s. The elevator takes 3.0 s to…
A:
Q: Two uncharged, conducting spheres are separated by a distance d. When charge -Q is moved from sphere…
A: The Coulomb force between two charges and separated by a distance isk is Coulomb's constant.
Q: 3-32. Determine the maximum weight W that can be supported in the position shown if each cable AC…
A:
Q: Light of wavelength 500 nm is incident normally on a diffraction grating. The third-order maximum of…
A: Given dataThe wavelength (λ)= 500 nmThe angle at which the pattern is observed θ=…
Q: moving at a speed of 1.40 solenoid has 25 turns per centimeter. m/s in circular path or (b) Find the…
A: Given:
Q: Find the angle between the vectors A and B in problem 1. See problem 1 in the picture, and kindly…
A:
Q: A hollow conducting spherical shell has an outer radius R, =14.7cm and an inner radius Ra =7.45cm.…
A:
Q: Current I = 30 A flows in a straight wire. An ion with charge Q = 3.2e-19 C is moving toward the…
A: current = i = 30 A Charge = q = 3.2 x 10-19 CDistance = r = 0.1 mspeed = V = 6 X 106 m/s
Q: Now, suppose that the curve shown in (Figure 2). What is Assume that the car's speed is level (0-0)…
A: r is radiusg is acceleration due to gravitySolving theunbanked problem where we have to find…
Q: You are standing 1.00 meter jackhammer. You experience level of 130 decibels. (Point A) from a a…
A: Write the expression for the sound intensity level at point A and substitute the corresponding…
Q: small metal cylinder rests on a circular turntable that is rotating at a constant speed as…
A: Mass of cylinder = m = 0.2 kgcoefficient of static friction = = 0.08radius = r = 0.15 m
Q: A pilot must fly a plane due north (90 degrees) to reach a destination. The plane can fly at 323…
A:
Q: The figure below shows the trajectory of a particle of mass m bound to an object of mass M by the…
A: And And
Q: 1. The Wheatstone bridge is used to determine an unknown resistance Ra by adjusting a known…
A: The wheatstone bridge is used to determine unknown resistance R3 by adjusting a known resistance R1…
Q: Argon is a monatomic gas whose atomic mass is 39.9u. The temperature of eight grams of argon is…
A:
Q: Tunnel Diode device is a. none of the options b. Basic p-n junction but with both materials very…
A: Tunnel diode device is?
Q: A 7.80 g bullet is initially moving at 530 m/s just before it penetrates a block of solid rubber to…
A: Given data:Mass of the bullet (m) = 7.8 gInitially moving (v) = 530 m/sDepth of penetration (d) =…
Q: Determine the currents 1₁, 12, 13, www R₁ = 19 H A: 5 V
A:
Q: 7. A car traveling at 15 m/s in the positive direction, slams on the brakes to avoid an accident and…
A:
Q: An angle of incline is 0 degress, the mas of M1= 6.00 kg and M2= 6.50 kg at an acceleration of 5.10…
A: mass M1 = 6 kg mass M2 = 6.50 kg acceleration a = 5.10 m/s^2 Tension in the string T = 30.6 N…
Q: 0. A particle moves along the x axis according to the equation x = -50t+20t², where x is in meters…
A: given equation
Q: A 0.53 kg piece of wood floats in water but is found to sink in alcohol (SG = 0.79), in which it has…
A: Given,mass of wood, The specific gravity of alcohol, the apparent mass of wood, The specific gravity…
Q: A 110 A current circulates around a 2.10-mm-diameter superconducting ring. What is the ring's…
A: current I=110 A diameter D=2.10 mm so radius r=1.05 mm
Q: QUESTION 13 A person standing on the edge of a high cliff throws a rock straight up with an initial…
A:
Q: E HH switch The figure above shows a circuit containing an electromotive force (a battery), a…
A:
Step by step
Solved in 3 steps
- Assume that, at the initial instant to = 0, a particle is thrown with initial speed vo and with an initial angle θo, with respect to a direction parallel to the Earth's surface. In this way, in order to carry out an analytical study of its motion in a simpler way, consider a coordinate system xoy, with its origin at the particle's launch position, and with its positive x axis oriented in the direction of the horizontal motion of the particle and with its positive y-axis oriented vertically upward. In this sense, illustrate (make the force diagrams) the projectile launch, highlighting its main characteristics, and describe algebraically what is asked:Use a graphing utility to generate the trajectory of a paper airplane whose equations of motion for t ≥ 0 arex = t − 2 sin t, y = 3 − 2 cos t Assuming that the plane flies in a room in which the floor is at y = 0, explain why the plane will not crashinto the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle.] How high must the ceiling be to ensure that the plane does not touch or crash into it?Please show me the step by step process of the integration to get the value of the velocity (v) and the position (y). make sure is detailed enough please.
- Give all a, b and c right solutions. A bullet was fired at a certain point A at an angle of 90 o from an inclined surface with slope of 5 vertical and 12 horizontal, and hit the surface at a distance of 70 m from point A measured along the inclined surface. a. What is the initial velocity(in m/s)? b. What is the maximum height (in m) reached by the bullet? c. What is the time (in sec) required for the bullet to hit the inclined plane?I. If s’(t) = v(t), and s’’(t) = a(t), use the fact that integration reverses differentiation (+C) and the given information about s(t) to find the particular solution to the following problem. If a model rocket’s velocity is given by a(t)= -32 m/s2 and v(0)= 10 and position at 1 second is 1,000 m, find s(t). Hint: Integrate a(t) to find v(t), then integratev(t) to find s(t), finding each C using the given info.Wouldnt part B just be the derivative of the equation? My answer comes out wrong when I submit it? Not sure how to do part c?
- An object thrown vertically upward from the surface of a celestial body at a velocity of24 m/s reaches a height of s=−0.3t^2+24t meters in t seconds. d. When does the object strike the ground? e. With what velocity does the object strike the ground? f. On what intervals is the speed increasing?Consider a particle whose motion is given by [x(t),y(t),z(t)] = [−1,3,−2] + t2 ⋅ [4,2,−3], 0 ≤ t ≤ 2 What is the particle's position at t = 0 ?What is the particle's position at t = 2 ?What is the particle's velocity at t=0?What is the particle's velocity at t=2?What is the particle's speed at t=0?What is the particle's speed at t=2?Suppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's hand at the same height at which it is caught by Ryan. If we ignore air resistance, the horizontal range r of the baseball is a function of the initial speed v of the ball when it leaves Nolan's hand and the angle θ above the horizontal at which it is thrown. Use the accompanying table and the equations below to estimate the partial derivatives. fx(x0,y0)= limΔx→0f(x0+Δx,y0)-f(x0,y0)Δx; fy(x0,y0) =limΔy→0f(x0,y0+Δy)-f(x0,y0)Δy Take a left-hand estimate and a right-hand estimate in each case and give the average of the two as your final answer.(a) Estimate the partial derivative of r with respect to v when v=80ft/s and θ=45∘.
- In his 1865 science fiction novel From the Earth to the Moon, Jules Verne described how three astronauts are shot to the Moon by means of a huge gun. According to Verne, the aluminum capsule containing the astronauts is accelerated by ignition of nitrocellulose to a speed of 11 km/s along the gun barrel’s length of 220 m. (a) In g units, what is the average acceleration of the capsule and astronauts in the gun barrel? (b) Is that acceleration tolerable or deadly to the astronauts? A modern version of such gun-launched spacecraft (although without passengers) has been proposed. In this modern version, called the SHARP (Super High Altitude Research Project) gun, ignition of methane and air shoves a piston along the gun’s tube, compressing hydrogen gas that then launches a rocket. During this launch, the rocket moves 3.5 km and reaches a speed of 7.0 km/s. Once launched, the rocket can be fired to gain additional speed. (c) In g units, what would be the average acceleration of the rocket…In 1780, in what is now referred to as “Brady’s Leap,” Captain Sam Brady of the U.S. Continental Army escaped certain death from his enemies by running horizontally off the edge of the cliff above Ohio’s Cuyahoga River, which is confined at that spot to a gorge. He landed safely on the far side of the river. It was reported that he leapt 22 ft across while falling 20 ft. Tall tale, or possible?a. What is the minimum speed with which he’d need to run off the edge of the cliff to make it safely to the far side of the river?b. The world-record time for the 100 m dash is approximately 10 s. Given this, is it reasonable to expect Brady to be able to run fast enough to achieve Brady’s leap?A rock is thrown upward from level ground in such a way that the maximum height of its flight, ymax, is equal to its horizontal distance d it travels before landing. (a) At what angle theta is the rock thrown? (b) Would your answer to part (a) be different on a different planet? Why? Hint for part (a): Make a sketch. Write out separate equations for vertical and horizontal motion, introducing a time variable. Relate the two equations to solve for theta.