A sprinter running on a circular track has a velocity of constant magnitude 9.20 m/s and a centripetal acceleration of magnitude 3.80 m/s2.What are (a) the track radius and (b) the period of the circular motion?

Q: A particle moves horizontally in uniform circular motion, over a horizontal xy plane. At one…

A: Given at coordinates (3.20m,4.60m)  velocity v=-4.40i^m/s acceleration a=+10.4j^m/s2 to find x and y…

Q: A particle travels clockwise around a circular path as shown below. The speed of the particle is…

A: See below

Q: At t;= 4.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular…

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Q: The radius of the Car tires is 30.3 cm. It is traveling at 78 km/h when the driver applies the…

A: Given, radius = 30.3 cm=30.3×10-2 mvelocity = 78 km/h= 21.66 m/sdeceleration =-27 m/s2

Q: At t₁ = 3.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular…

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Q: car drives around a circular track of diameter 156 m at a constant speed of 33.0 m/s. During the…

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Q: Problem of the Week: Suppose a high-powered catapult fires a pumpkin due north with initial speed 80…

A: Let u denotes the initial speed towards the north, θ denotes the angle, a denotes the net…

Q: At t₁ = 3.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular…

A:

Q: A car drives around a circular track of diameter 156 m at a constant speed of 33.0 m/s. During the…

A: Given: Initial velocity: v=33 m/s Angle: θ=102° = 102180π rad Diameter: d=156 m Radius:  r=d2=156…

Q: A particle travels clockwise around a circular path as shown below. The speed of the particle is…

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Q: If a particle moving in a circular path of radius 8.1 m has a velocity function v = 3.5t 2 (units:…

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Q: shows an overhead Roundabout management. Figure view of a single-lane roundabout where access is…

A: Solution: Given: R = radius of circular path = 45 m a = acceleration of car 1 = 3.0 m/s2 v = final…

Q: A particle moves in a circular path according to the clockwise equation θ(t)=π/4+3t+2t2, where θ is…

A: Here angular velocity = 4t+3 rad/sec And angular acceleration is = 4 rad/sec^2 so object speed is…

Q: A simple pendulum (a mass swinging at the end of a string) wings back and forth in a circular arc.…

A: Since the mass travels in an arc of a circle, the radial acceleration is ar=v2R At the end point the…

Q: An astronaut on a distant planet kicks a soccer ball at an angle of 45.1 degrees above horizontal,…

A: According to the u=11.5m/s θ=45.1 ° ay=2.87m/s We need to find Range Sy=uyt+12ayt2

Q: At t₁ = 1.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular…

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Q: Starting from rest, a car speeds up along a curve at a rate of 2.00 m/s ^ 2 . If the curve has a…

A: When a car goes around a curve, its acceleration is constantly changing ( in direction) which…

Q: In pursuit of both adventure and treasure, the pirate Jack Sparrow sails his ship on the open ocean.…

A: The ship starts at x= +400 km, y= -200km and undergoes three displacements D1, D2 and D3. Initial…

Q: 1. The velocity of a particle is given by v = {16t²i + 4t³j + (5t + 2)k} m/s, where t is in seconds.…

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Q: Determine the acceleration of the particle moving in a circular path described by ? = 4?3+?2+6, S in…

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Q: A purse at radius 1.90 m and a wallet at radius 2.85 m travel in uniform circular motion on the…

A: Given that, A purse and a wallet are moving in a uniform circular path on the same radial line,…

Q: (a) Can a particle moving with instantaneous speed 7.00 m/s on a path with radius of curvature 2.00…

A: The detailed solution is given below. If it helps, please give a helpful rating. Thank you.…

Q: The car in the drawing is moving clockwise (from point 1 to point 2) around a circular section of…

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Q: An astronaut on a distant planet kicks a soccer ball at an angle of 41.4 degrees above horizontal,…

A: Given data:  Initial velocity (V0) = 19.9 m/s Angle (θ) = 41.4°,above the horizontal Acceleration…

Q: At t1 = 3.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular…

A: Acceleration at t1 = 3 s a1→ = 6 m/s2 i^  + 4 m/s2 j^ Acceleration at t2 = 4 s a2→ = 4 m/s2 i^  - 6…

Q: Starting from rest, a race car moves straight up an incline with a 37.0° angle at a constant…

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Q: A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At…

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Q: A 1.60 kg lead ball is tied to a rope and spun in a circular path of radius 1.20 m. The ball obtains…

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Q: A point moves on a circular path with its position from rest defined by s = t^3 + 5t, where s and t…

A: S=t3+5tacceleration, a=8.39 ms2time, t=0.66 s

Q: A particle moves uniformly in a circular plane xy. At one time, the particle moves past the point…

A: At point :

Q: (a) Can a particle moving with instantaneous speed 5.00 m/s on a path with radius of curvature 3.00…

A: Given that:- Particle moving on circular path...

Q: Steven is flying at 250 knots in his Spitfire. He knows that he can withstand a maximum acceleration…

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Q: Lately, Jason has been taking drivers' ed so that he can get his license. However, he's also been…

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Q: Problem 2: An object rolls off a tabletop with a horizontal velocity vox = 12 m/s. The table is at a…

A: a) Consider vertical motion    Sy=So+uyt+12ay.t2   0 = -1.7+ot+12x9.81t2   1.7=12x9.81xt2…

Q: path with velocity equation v(t)=0.06t^2 + 0.15t, starting from rest. it took him 3.25 seconds to…

A: We know that We have given that the equation of the velocity is given as  v(t) = 0.06t2+0.15 t  it…

Q: acceleration of the wallet?

A: Given: Radius of circle in which purse is placed, is rp=2.20 m Radius of circle in which wallet is…

Q: Position of a linearly moving particle s = (t3 - 8.625t2 - 22.125t + 11.625) m. When t is in seconds…

A:

Q: An object travels in a vertical circle of 1.50 m radius. When the object is traveling downward and…

A: The radius of the vertical circle is The angular position of the object from the lowest position is…

Q: The velocity of a particle (in meters per second) is given by v = 16t'i + 4tj + (5t + 2)k, wheret is…

A:

Q: A bomber flies horizontally with a speed of 347 m/s relative to the ground. The altitude of the…

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Q: A cat rides a merry-go-round turning with uniform circular motion. At time t1 = 1.70 s, the cat's…

A: At time t1 = 1.70 s Cat's velocity, v1 = (3.90 m/s)î + (2.50 m/s)ĵ  At time t2 = 5.30 s Cat's…

Q: It moves at constant speed v. At time t₂ = 3 s, the particle's acceleration is a₂ = 31-7ĵ m/s². What…

A: We can start by using the given accelerations at times t1 and t2 to find the angle between them.…

Q: A car drives around a circular track of diameter 67 m at a constant speed of 35.5 m/s. During the…

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Q: A rocket starts from rest and moves upward from thesurface of the earth. For the first 10.0 s of its…

A: Given data ay=2.8 m/s3 tt=10 sec

Projectile Motion