A large merry-go-round completes one revolution every 10.5 s. Compute the acceleration of a child seated on it, a distance of 5.05 m from its center. Magnitude: Direction:

Q: A particle is moving around in a circle and its position is given in polar coordinates as x = Rcosθ,…

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Q: If the speed of an object in uniform circular motion is tripled and the radial distance remains…

A: If an object moves in a uniform circular motion  then  Centripetal acceleration a= v^2/r Where  v is…

Q: Can anything be said about the speed of a particle whose acceleration is always orthogonal to its…

A: Step 1 The acceleration is orthogonal to the velocity, Multiply by two on both sides

Q: Find the magnitude of a passenger's acceleration at the top of the wheel.

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Q: An object traveling on a circular path at a constant speed of 3.7 m/s is experiencing a centripetal…

A: SOlution: given that v = 3.7 m/s a = 5.2 m/s

Q: For an object moving in a uniform circular motion, the direction of the instantaneous acceleration…

A: When an object is moving in uniform circular motion, the speed is constant. But the velocity of the…

Q: The Moon orbits the Earth in an approximately circular path. The position of the Moon as a function…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A baseball pitcher throws a ball at 89.0 mi/h in the horizontal direction. How far does the ball…

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Q: How fast would a car have to round a turn with a radius of 70 m for its acceleratio

A: During the turn,the centripetal force acting on the car will be the force responsible for the…

Q: the Moon goes around the Earth in 27.3 days, in a nearly circular orbit with a radius of 3.8 x 10^5…

A: Given data: Radius of circular orbit r = 3.8×105 km = 3.8×108 m Time taken to complete one…

Q: For an object undergoing a uniform circular motion with radius 5.7 m and period 4.35 sec, the…

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Q: A newly established colony on the Moon launches a capsule vertically with an initial speed of 1.281…

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Q: A soccer player kicks a ball, giving it an initial velocity of 30.5 m/s in the horizontal direction…

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Q: A golfer hits a golf ball with an initial velocity of 101 mph. the range R of the ball as a function…

A: Initial velocity, of ball, Vo = 101 mph Range of the ball, R(theta) = 673 sin(2theta) ft Required…

Q: Tigure DeloW ground level a speed of 5.88 m/s at an angle 0 45.0° above the horizontal.

A: Marble 2 Horizontal and vertical forces components are: V2 x is v2 cos 45° = 5.88×12=4.16 m/s V2 y…

Q: A particle moves along a circular path having a radius of 3.13 m. At an instant when the speed of…

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Q: Let r(t)= (5t)i+(t^2+5)j for t = 1. Sketch the path of the object along with the velocity and…

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Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…

A: Given data:  Initial speed = v Radius = r New speed (v1) = 1.175 v Required: Percentage increase in…

Q: A runner runs around a circular track. He completes one lap at a time of t = 292 s at a constant…

A: We know, Speed(v) = distance(S)/time(t)

Q: A particle which moves with curvilinear motion has coordinates in millimeters which vary with the…

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Q: A material point, originally located at (3 feet, 2 feet, 5 feet), is subjected to an acceleration at…

A: The expression for velocity in Cartesian vector form is,…

Q: You kick a ball with an intial velocity whose magnitude is 11.3 m/s and whose direction is 78°. How…

A: Initial velocity is v0=11.3 m/s Angle of projection is θ=78o Acceleration due to gravity is g=9.80…

Q: A cylinder is given a push and then rolls up an inclined plane. If the origin is the starting point,…

A: The initial push to the cylinder provides it some initial speed. The gravitational force in the…

Q: A particle is moving along a curved path. At a certain instant when the slope is 0.75, ax = 2 m/s2…

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Q: For an object moving in a uniform circular motion, the direction of the instantaneous acceleration…

A: Direction of acceleration in uniform circular motion:

Q: A point moving a long a curve whose position vector is R(t)=(t sin t +cost)i+(sin t-t cost)j+4 k;…

A: SOlution: given that position vector r = (tsint+cost)i+(sint-tcost)j+4k

Q: An airplane makes a gradual 270° turn (heading goes from north to west to south to east) while…

A:

Q: A particle is sliding in a circular path, using polar coordinates where r = 2 and 0 =21 so that the…

A: Polar coordinate (r) = 2 m θ = 2 t

Q: When an object moves in uniform circular motion, the direction of its accele is directed toward the…

A: Uniform circular motion is the motion of an object around a circular path with a constant speed.

Q: speed of 14 meters per second rizontal circular path of radius 10. m hat is the magnitude of the…

A: 29) velocity,V=14m/s radius, R=10m acceleration ,a=v2/R                      =>a=196/10…

Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

A: Given value--- x=7sin((pi/8)t), y=-7cos((pi/8)t) We have to find--- How long (in sec) does it…

Q: A boat travels around a circular path, p = 40m, at a speed that increases with time. The boat has a…

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Q: A boat has an initial speed of 19 ft/s. It then increases its speed along a circular path of radius…

A: Given data: Initial speed of boat is, u=19 ft/s. Radius of circular path is, ρ=80 ft. Rate of…

Q: uber eats driver-completes her route by traveling 167 m in a direction 30⁰ north of east, 140 m 20 ⁰…

A:

Q: A car drives around a circular track of diameter 199 m at a constant speed of 35.6 m/s. During the…

A: Given- Diameter d=199 m  Radius R=d2=1992=99.5 m Constant speed v= 35.6 m/s Angle θ=1680

Q: An object moves around a circular track of a diameter of 40 cm with an acceleration of 25. Find the…

A: Given: The centripetal acceleration of the object is 25 m/s2. The diameter of the circular track is…

Q: At a certain instant, the magnitude of velocity and acceleration of a point shown below are V = 10.0…

A: The diagram of the system is as shown below:                                       The radial…

Q: Convert the acceleration due to gravity 980 cm/s^2 to FPS.

A:

Q: A particle moves in a curve path according to the law s = t^3 – 40t^2 + 8t + 100 where s is in meter…

A: Consider the given data as below. A particle moves in a curve path according to the low,…

Q: man walks 95 km East the 55 km North. Calculate his resultant displacement and direction

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Q: A car rounds a 20-m radius curve at 10 m/s. The magnitude of its acceleration is? Option 1 Option 2…

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Q: x = 4.6t^2 - 1.9t^3 From t = 0.0 s to t = 4.0 s, what distance does the particle move? (For vector…

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Q: At what times in the interval 0 ≤ t ≤ π are the velocity and acceleration vectors of the motion r(t)…

A: Given:-             rt = i+ 5 cos t j +3 sin t  k

Q: Compute the normal acceleration when he reaches the bottom of the profile (m/s^2)

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Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…

A: Radial acceleration is given by,  ar=v2r Speed is increased 19%.So, new speed is,  vnew=v+19v100…

Q: A car drives around a circular track of diameter 140 m at a constant speed of 33.3 m/s. During the…

A: Given: The diameter of the circular track is 140 m. The constant speed of the car is 33.3 m/s.

Q: A ball is released from rest at the top of an incline whose height 13.6 centimeters and base 57.2…

A:

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.