A stone of mass m is attached to a string and is rotated in a vertical circle of radius r. at bottom of the track, the tension in the string is 4 times the weight of the stone. The velocity of the stone at this point is : O a. (3g r)1/2. O b. (g r)/2. Oc. 3g r. O d. 3(g r)1/2.
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- In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?A 1-kg particle is attached to the end of a rope. It rotates in a vertical circle of radius 1 m. When the particle is at the lowest point (bottom) of the circle, its speed is 10 m/s. The tension in the rope at this point is: A. 109.8 N B. 45.7 N C. 12.5 N D. 90.2 N E. Zero O A B D O EA 1-kg particle is attached to the end of a rope. It rotates in a vertical circle of radius 1 m. When the particle is at the lowest point (bottom) of the circle, its speed is 10 m/s. The tension in the rope at this point is: А. 109.8 N B. 45.7 N С. 12.5 N D. 90.2 N E. Zero
- 8 A stone of mass m is attached to a string and is rotated in a vertical circle of radius r. at bottom of the track, the tension in the string is 3 times the weight of the stone. The velocity of the stone at this point is: ut of 2(g n)/2 O b. (2g n)/2. a. question (g n)/2 d. 2g r. vious page Jump toA 0.5 kg mass attached to the end of a string swings (l) in a vertical circle of radius 2 m. When the mass is at the lowest point on the circle, the speed of the mass is 12 m/s. The magnitude of the tension force in the string at that moment is: А. 31.5 N В. 36.7 N C. 56.2 N D. 40.9 N E. 23.7 NAn object tied to the end of a rope swings in a vertical circle (R = 1.2 m), as shown. At an instant when θ = 30 °, the velocity of the object is 5.1 m / s and the tension in the string has a magnitude of 20 N. What is the mass of the object?a. 1.5b. 0.80c. 1.2d.2.0
- 4 A bucket of mass 2.00 kg is whirled in a vertical circle of radius 1.20 m. At the lowest point of its motion the tension in the rope supporting the bucket is 25.0 N. Find the speed of the bucket. A. 2.32 m/s B. 1.27 m/s C. 1.80 m/s D. 2.52 m/s E. None of the aboveA puck of mass m = 1.50 kg slides in a circle of radius r = 20.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 2.50 kg by means of a cord that extends through a hole in the table. What speed keeps the cylinder at rest in m/s? M Lütfen birini seçin: O A. 1.81 ОВ. 193 O C. 1.27 O D. 1.45 O E. 1.32A mass m 0.15kg attached to the end of string and rotating in a vertical circle of radius R 0.5 m. If its speed at the top is 3 m/s, what is the tension in the string at the top (in N)? g 10m/s. %3D a 1.2 b. 2.2 C. 3.3 d. 4.4
- 6. A 0.20-kg object attached to the end of a string swings in a vertical circle (radius = 80 cm). At the top of the circle the speed of the object is 4.5 m/s. What is the magnitude of the tension in the string at this position?A mass m 0.15kg attached to the end of string and rotating in a vertical circle of radius R 0.5 m. If its speed at the top is 3 m/s, what is the tension in the string at the top (in N)? g 10m/s. a. 1.2 b. 22 C. 3.3 d. 4.4 R.A newly discovered planet has twice the mass and three times the radius of the earth. What is the freefall acceleration at its surface, in terms of the free-fall acceleration g at the surface of the earth? a. 2/9 g b. 2/3 g c. 3/4 g d. 4/3 g