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- Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?2. A girl jogs around a horizontal circle with a constant speed. She travels one half of a revolution, a distance of 20.0 m along the circumference of the circle, in 8.00 s. a. What is the radius of the circle in meters? b. What is the period? c. What is her speed? d. What is her radial acceleration is?5. A particle travels in a circle of radius 12 m at a constant speed of 21 m/s. What is the magnitude of the acceleration? 6. The velocity of a particle in reference frame A is (4.0 î+ 5.0ĵ) m/s. The velocity of reference frame A with respect to reference frame B is 6.0 k m/s, and the velocity of reference frame B with respect to C is 2.0 j m/s. What is the velocity of the particle in reference frame C?
- 6. The speed of a particle moving in a circle of radius 2.0 m increases its speed constantly at a rate of 4.4 m / s2. At an instant when the magnitude of the total acceleration is 6.0 m / s2, what is the velocity of the particle? choose an answer A B C D E 3.9 m/s 2.9 m/s 3.5 m/s 3.0 m/s 1.4 m/s3. A ball attached to a rope is spinning in a circle with a constant speed of 8m/s. If the length of the string is 0.4m, what is the acceleration a' (magnitude and direction) of the ball in the picture? 4. A ball is initially rolling 3m/s east along a table. It undergoes an acceleration of 0.4m/s² south for 2 seconds. What is the velocity of the ball after this acceleration? Write your answer as a tuple (vx, vy). 5. Consider these three vectors: A, B, and C. a. Draw these three vectors as a chain, and find their sum. b. Write the three vectors and their sum as tuples (vx, Vy). A = B = C= " → A + B + C = y A (0,2) X B C2. An object is moving in a circular path at constant speed. If the radius of the circular path is doubled and the speed stays the same, then: a) The acceleration decreases by four times. b) The acceleration stays the same. c) The acceleration is halved. d) None of the above. 3. A 10 kg object is moving in uniform circular motion with a radius of 20 m. It takes the object 8 s to make one complete revolution. A. Find the speed of the object. B. Find the net force acting on the object.
- 3:34 PM | 0.0KB/s L O M 48 A bartleby.com = bartleby Q&A Engineering / Mechanical Engineeri... / Q&A Library / T... The Ferris wheel is rotating with a const... The Ferris wheel is rotating with a constant angular velocity w. What is the direction of the acceleration of point A? a. → b. ↑ C. v d. < e. The acceleration is zero.A ball is traveling at a constant speed (v) of 40.0 m/s in a circle with a radius (r) of 6.0 m. (Hint: The circumference C = 2πr) The centripetal acceleration is ZERO a. False b. True The total distance traveled by the ball is: How long in time does it take for the ball complete one circle? The displacement traveled by the ball is: The average speed of the ball is: The average velocity of the ball is:Concern the planet Mars, which has a radius of 3400 km On Mars, the acceleration due to gravity is 3.72 m/s2 . a. Assuming that the centripetal acceleration at the Mars equator is equal to the acceleration due to gravity, estimate the length of a day on Mars. Note: this does not give a good estimate of the length of a day on Mars! b. Using only information provided above, estimate the mass of Mars. Is this value a good estimate? c. If the radius of Mars suddenly were to double (without changing its mass), what would be the new acceleration due to gravity? Would you expect the length of a day on Mars increase, decrease, or stay the same?
- Prior to landing at the airport, an airplane flies at a constant speed in a circular course with aradius of 5000 meters. An observer notices that the plane completes each round trip in 400seconds.a. What is the speed of the airplane? b.Whats the centripetal acceleration?The Ferris wheel revolves once every two minutes. It has a radius of 60 ft and its center is located 64 ft from the ground. How fast is a passenger rising at the instant when she is 94 ft above the ground? a. 2.72 ft/s c. 0.433 ft/s b. 1.57 ft/s d. 3.79 ft/s13.5.17 Q The speedometer on your car reads a steady 35 mph. Could you be accelerating? Explain. Choose the correct answer and explanation. A. Yes. If the car is moving along a curved path (K ± 0), then an = K |v2 + 0 and a = a-T + anN #0. B. No. The car is not accelerating if the speed is constant. C. No. If the car is moving along a curved path (K= 0), then an =K |v|2 = 0 and a = a-T+anN = 0. D. Yes. On a curved path, the velocity always changes in magnitude, but it may or may not change in direction, which means that the acceleration of an object moving on a curved path can never be zero.