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7. A particle moves in the anticlockwise direction along a circle with a radius of 13 cm at the c...
1. An airplane if flying horizontally at a constant height of 6 km above a fixed observation poin...
1. An airplane if flying horizontally at a constant height of 6 km above a fixed observation point. At a certain moment the angle of elevation θ is 30° and decreasing and the speed of the plane is 4 km/h. (a) How fast is 0 decreasing at this moment? (b) How fast is the distance between the plane and the observation point is changing at this moment? 2. Trajectory of a particle is described by parametrical equations as t,y P,...
4. A particle starts from an initial position with coordinates To = 8 + 5ſm, at...
4. A particle starts from an initial position with coordinates To = 8 + 5ſm, at time t= 0, with a velocity of V. = 3i-8 m/s. The particle moves in the r-y plane with a constant acceleration, à = -21 - m/s. (a) At the instant the y-coordinate of the particle's position is -10 m, find the x- coordinate of its position. (b) Calculate the x- and y-components of the particle's position when the particle reaches its turning point...
(1 point) You bicycle along a straight flat road with a safety light attached to one foot. Your b...
(1 point) You bicycle along a straight flat road with a safety light attached to one foot. Your bike moves at a speed of 30 km/hr and your foot moves in a circle of radius 22 cm centered 32 cm above the ground, making one revolution per second. (a) Find parametric equations for r and y which describe the path traced out by the light, where y is distance (in cm) above the ground and x the horizontal distance (in...
The radius r of a circle is increasing at a rate of 7 centimeters per minute.
The radius r of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of change of the area when r = 30 centimeters.The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change of the volume when r = 12 inches.(b) Find the rate of change of the volume when r = 30 inches.
A particle P travels with constant speed on a circle of radius r = 2.40 m...
A particle P travels
with constant speed on a circle of radius r = 2.40 m (see
the figure) and completes one revolution in 20.0 s. The particle
passes through O at time t = 0.
At t = 5.00 s, what is the particle's position vector?
Give (a) magnitude and (b)
direction (as an angle relative to the positive direction of
x.
At t = 7.50 s, what is the particle's position vector?
Give (c) magnitude and (d)
direction...
A particle moves on a counter clockwise, origin-centered circular path in the x y-plane at a...
A particle moves on a counter clockwise, origin-centered circular path in the x y-plane at a constant rate. The radius of the circle is r, the mass of the particle is m, and the particle completes one revolu tion in time τ a) Neatly draw the following things 1. The path of the particle 2. A dot on the path when the particle is at 00 90° and 210° where 0 is mea sured from the x-axis (posi tive counter-clockwise)...
1. When a point on the edge of a DVD (radius 6.0 cm) moves along an...
1. When a point on the edge of a DVD (radius 6.0 cm) moves along an arc of length 120 cm, through what multiple of π rad does the disk turn? 2. With an angular velocity of 3.4π rad/s, how much time is required to complete 11 complete revolutions? 3. The blades of a kitchen blender rotate counterclockwise at 2.2x10^4 rpm (revolutions per minute) a top speed. It takes the blender 2.1 seconds to reach this top speed after being...
Student Name 1. A particle confined to motion along the x axis moves with constant acceleration...
Student Name 1. A particle confined to motion along the x axis moves with constant acceleration fromx = 2.0 m to x 8.0 m during a 2.5-s time interval. The velocity of the particle at x - 8.0 m is 2.8 m/s. What is the acceleration during this time interval? 2. The polar coordinates of a point are r=5.50 m and Angle 240°. What are the Cartesian coordinates of this point? 3. On occasion, the notation A= [A, O] will...
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the b...
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the body is at the rightmost point of the circle. A. Compute the centripetal force acting on the body at time t. B. Compute the magnitude of that force. HINT. Start with finding the angular velocity o [rad/s] of the body (the rate of...
Please help! :) Discussion #3 1. Consider the motion of an object that can be treated...
Please help! :)
Discussion #3 1. Consider the motion of an object that can be treated as a point particle and is traveling counter-clockwise in a circle of radius R. This motion can (and will for the purposes of these discussion activities) be described and analyzed using a Cartesian (x-y) coordinate system with a spatial origin at the center of the particle's circular trajectory (the physical path its motion traces out in space). (a) Draw a diagram of the position...
1. An airplane if flying horizontally at a constant height of 6 km above a fixed observation point. At a certain moment the angle of elevation θ is 30° and decreasing and the speed of the plane is 4 km/h. (a) How fast is 0 decreasing at this moment? (b) How fast is the distance between the plane and the observation point is changing at this moment? 2. Trajectory of a particle is described by parametrical equations as t,y P,...
4. A particle starts from an initial position with coordinates To = 8 + 5ſm, at time t= 0, with a velocity of V. = 3i-8 m/s. The particle moves in the r-y plane with a constant acceleration, à = -21 - m/s. (a) At the instant the y-coordinate of the particle's position is -10 m, find the x- coordinate of its position. (b) Calculate the x- and y-components of the particle's position when the particle reaches its turning point...
(1 point) You bicycle along a straight flat road with a safety light attached to one foot. Your bike moves at a speed of 30 km/hr and your foot moves in a circle of radius 22 cm centered 32 cm above the ground, making one revolution per second. (a) Find parametric equations for r and y which describe the path traced out by the light, where y is distance (in cm) above the ground and x the horizontal distance (in...
A particle P travels
with constant speed on a circle of radius r = 2.40 m (see
the figure) and completes one revolution in 20.0 s. The particle
passes through O at time t = 0.
At t = 5.00 s, what is the particle's position vector?
Give (a) magnitude and (b)
direction (as an angle relative to the positive direction of
x.
At t = 7.50 s, what is the particle's position vector?
Give (c) magnitude and (d)
direction...
A particle moves on a counter clockwise, origin-centered circular path in the x y-plane at a constant rate. The radius of the circle is r, the mass of the particle is m, and the particle completes one revolu tion in time τ a) Neatly draw the following things 1. The path of the particle 2. A dot on the path when the particle is at 00 90° and 210° where 0 is mea sured from the x-axis (posi tive counter-clockwise)...
Student Name 1. A particle confined to motion along the x axis moves with constant acceleration fromx = 2.0 m to x 8.0 m during a 2.5-s time interval. The velocity of the particle at x - 8.0 m is 2.8 m/s. What is the acceleration during this time interval? 2. The polar coordinates of a point are r=5.50 m and Angle 240°. What are the Cartesian coordinates of this point? 3. On occasion, the notation A= [A, O] will...
(1 point) A body of mass 10 kg moves in the xy-plane in a counterclockwise circular path of radius 3 meters centered at the origin, making one revolution every 11 seconds. At the time t 0, the body is at the rightmost point of the circle. A. Compute the centripetal force acting on the body at time t. B. Compute the magnitude of that force. HINT. Start with finding the angular velocity o [rad/s] of the body (the rate of...
Please help! :)
Discussion #3 1. Consider the motion of an object that can be treated as a point particle and is traveling counter-clockwise in a circle of radius R. This motion can (and will for the purposes of these discussion activities) be described and analyzed using a Cartesian (x-y) coordinate system with a spatial origin at the center of the particle's circular trajectory (the physical path its motion traces out in space). (a) Draw a diagram of the position...
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