a 500g mass is swung from a string horizontal circle from a string. There is an angle of depression of 15 between the horizontal and the string. If the mass is moving at 3.5m/s, determine the radius of the circular motion
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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?Questions 1-4: A 2-kg mass is moving in a circular path on the end of a 0.50-m string. The mass moves in a horizontal circle with a speed of 4.0 m/s. A. 0.50m 12.0kg a,A small body of mass m-2 kg swings in a vertical circle at the end of a cord of length R-10 cm, if the cord makes an ange of e-37 degees with the vertical and v-1 ms then the magritude of total aceration in ms the body s pen by ges to this answer. 37° R m. mg O 5.8 O 8 O 15 O 11.7 O 10 A Moving to the next question prevents changes to this answer.
- 7. A mass attached to a string is twirled overhead in a horizontal circle of radius R every 0.3 S. The path is directly 0.5 m above the ground. When released, the mass Jands 2.6 m away. What was the velocity of the mass when it was released and what was the radius of the circular path?A 25.0-g metal washer is tied to a 60.0-cm-long string and whirled around in a vertical circle at a constant speed of 6.00 m/s. Calculate the tension in the string when it is at the top of the path.In Kill Bill Vol. 1 Gogo Yubari swings a meteor hammer (with mass 2.1 kg) on a chain (of length 2.1 m and negligible mass) around in a circle above her head. The hammer goes all the way around Gogo’s head 3 times every second. Determine the angle the chain makes with the horizontal as the weapon is swung around. Also determine the tension in the chain.
- a 0.25 kg stone tied to a rope is swung to make a circular motion in a vertical plane . If the circle is of radius 300cm, what is the minimum uniform speed of the stone that will keep the rope tautTwo planets P₁ and P₂ orbit around a star S in circular orbits with speeds v₁ = 43.4 km/s, and v₂ = 57.0 km/s respectively. If the period of the first planet P₁ is 790 years what is the mass, in kg, of the star it orbits around? kg Determine the orbital period, in years, of P2. yrA rocket lifts a payload upward from the surface of Earth. The radius of Earth is R, and the weight of the payload on the surface of Earth is W. The force of Earth's gravity on the payload is W/2 when the rocket's distance from the center of Earth is R V2R 2R 2/2R 4R Other:
- A 0.2-kg ball is attached to a rope and is swung in a horizontal surface that has negligible friction. The circular path is moves in has a radius of 0.6 m. If the ball makes 150 revolutions per minute, the tension force of the string is:Suppose a vertical tunnel () is dug along the diameter of the earth assuming a sphere of uniform mass having density p. If a body of mass m is thrown in this tunnel, its acceleration at a distance y from the center is given by Select one: O a. 4πрy/3 O b. 4πGpmy/3 O c. 4πGpy/3 O d. 3πGpy/4. m y M MA 0.50-kg object moves on a horizontal frictionless circular track with a radius of 2.5 m. An external force of 3.0 N, always tangent to the track, causes the object to speed up as it goes around. If it starts from rest, then at the end of one revolution the radial component of the force of the track on it is: