Answered: A particle is performing uniform… | bartleby

Related questions

Question

A particle is performing uniform circular motion around the origin of
an xy coordinate system moving clockwise with a speed of 3 m/s. At one
instant, its position vector is 7 = (-1 m)î + (1 m)j. At that instant, what
is the acceleration å of the particle in unit vector notation.

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

An object travels in a vertical circle of 1.43 m radius. When the object is traveling downward and is 28.0° from its lowest point, its total acceleration is a = (18.51 + 16.2ĵ) m/s². At this instant, determine the following. (Take the angle 28.0° clockwise from the axis of the circle that intersects the center and the lowest point. Assume that the +x axis is to the right and the +y axis is up along the page.) esc 7 (a) magnitude of the radial acceleration m/s² (b) magnitude of the tangential acceleration m/s² (c) speed of the object m/s (d) velocity of the object (Express your answer in vector form.) m/s v= 1 ² F1 Q A 1 N 2 Q F2 W S 3 X # H option command 80 F3 E D $ 4 C 990 GOD F4 R F % 67 8 5 F5 V T MacBook Air 6 G F6 Y B & 7 H 4 F7 U N 00 * 8 J FB 1 ( 9 M F9 K O O < A I -10 L || ! P V F11 1 + { [ 2 412 1 - option command
A particle moves horizontally in uniform circular motion, over a horizontal xy plane. At one instant, it moves through the point at coordinates (4.00 m, 4.00 m) with a velocity of -5.00 m/s i and an acceleration of -12.5 (m/s^2) j . What are the (a) x and (b) y coordinates of the center of the circular path?
A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 17 m/s at an angle θ = 27 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. With what speed, vf in meters per second, does the stone strike the ground?
A golf ball is driven with the initial conditions shown in the figure. If the wind imparts a constant horizontal deceleration of 3.9 ft/sec2, determine the values of r, r˙, r¨, θ, θ˙, and θ¨ when t = 1.18 sec. Take the r-coordinate to be measured from the origin.
The figure shows thes initial position i and the final position f of a particle. 4 m i 3 m 3 m 4 m 4m 3 m 5m 3m 2 m 1m What is the initial position vector in unit-vector notation? n 2 m/ Xy 1m! 4m 5m 3 m x .i 3m m î+ i m + i mk
A particle moves in a circular path according to the clockwise equation θ(t)=π/4+2t+4t2, where θ is the angle between the particle's position vector and the x axis, oriented positively counterclockwise. θ is measured in radians and t in seconds. Which of the images below represents the velocity vectors v (in red) and acceleration a (in blue) of the particle at time t=0? Choose between an option : A, B, C, D, E, F, G, or H
A plane flies 493 km east from city A to city B in 45.0 min and then 983 km south from city B to city C in 1.30 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east). (a) Number i Units (b) Number Units (c) Number i Units (d) Number i Units (e) Number Units II
A remote-controlled car is moving around in a level (horizontal) parking lot. The velocity of the car as a function of time is given by: 3 = [5.0m/s – (0.018m/s³)t²]î + [2.0m/s + (0.55m/s²)t]j where î and ĵ are unit vectors representing two perpendicular directions on the horizontal ground (think of them as the East and North directions, if that helps you). b). What are the magnitude and direction of the car's velocity at t = 8.0 s? c). What are the magnitude and direction of the car's acceleration at t = 8.0 s? (Don't be intimated by the velocity function! Look at the î and ĵ components, and work each component separately to begin with, before combining components together to get any resultant vectors, if needed.)
An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.
A carnival merry-go-round rotates about a vertical axis at a constant rate. A man standing on the edge has a constant speed of 3.30 m/s and a centripetal acceleration of magnitude 2.01 m/s². Position vector locates him relative to the rotation axis. (a) What is the magnitude of 7? What is the direction of 7 when a is directed (b) due east and (c) due south? (a) Number (b) (c) Units
A particle moves along a circular path having a radius of 1.1 m. At an instant when the speed of the particle is equal to 3.22 m/s and changing at the rate of 6.46 m/s², what is the magnitude of the total acceleration of the particle?
A particle confined to the xy-plane is in uniform circular motion around the origin. The x- and y-coordinates of the particle vary with time as follows: x(t) = r sin(cot) y(t) = r cos(cot). where >= 2.60 m and c = 2.15 s-¹. What are the x- and y-components of the particle's acceleration at an instant when x = 1.00 m and y = 2.40 m. Give your answers by entering numbers into the empty boxes below. ax || || X x² ms ms-2.

SEE MORE QUESTIONS