Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. SHe spins the bucket in a vertical circle of radius 1.5 m. b.) What is the equation for the net force on the glass at the top of the circle in terms w, Fn, m, v, and r? c.) The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. How fast must she spin the bucket to prevent this from from happening? d.) The string will break if the tension on it is more than 100 N. Over what range of speeds can she keep the glass in the bucket and prevent the string from breaking?

Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. SHe spins the bucket in a vertical circle of radius 1.5 m. b.) What is the equation for the net force on the glass at the top of the circle in terms w, Fn, m, v, and r? c.) The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. How fast must she spin the bucket to prevent this from from happening? d.) The string will break if the tension on it is more than 100 N. Over what range of speeds can she keep the glass in the bucket and prevent the string from breaking?

Name: Angela has a bucket of mass 2 kg tied to a string. She places a drinki
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. SHe spins the bucket in a vertical circle of radius 1.5 m. b.) What is the equation for the net force on the glass at the top of the circle i

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 42P: Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011...

See similar textbooks

Similar questions

Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.
A small car with mass 1250 [??] travels at constant speed on the inside of a track that is a vertical circle with radius 7.00 [?] (see figure on the right). The normal force exerted by the track on the car when it is at the top of the track (point B) is 6.58 × 103 [?]. a. What is the normal force on the car when it is at the bottom of the track (point A)? b. What is the velocity ?⃗ of the car at point B?
A space habitat for a long space voyage consists of two cabins each connected by a cable to a central hub as shown (See Figure P7.26) The cabins are set spinning around the hub axis, which is connected to the rest of the spacecraft to generate artificial gravity. (A) What forces are acting on an astronaut in one of the cabins? (B) Write Newton's second law for an astronaut lying on the floor of on habitats, relating the astronaut's mass m, his velocity v, his radial distance from the hub r, and the normal force n. (C) What would n have to equal if the 60.0 kg astronaut is to experience half his normal Earth weight? (D)Calculate the necessary tangential speed of the habitat from Newton's second law. (E) Calculate the angular speed from the tangential speed. (F) Calculate the period of rotation from the angular speed. (G) If the astronaut stands up, will his head be moving faster, slower, or at the same speed as his feet? Why? Calculate the tangential speed at the top of his head is he…
A small car with mass 1250 [kg] travels at constant speed on the inside ofa track that is a vertical circle with radius 7.00 [m] (see figure on the right).The normal force exerted by the track on the car when it is at the top ofthe track (point B) is 6.58 × 10^3 [N]. a. What is the normal force on the car when it is at the bottomof the track (point A)?b. What is the velocity of the car at point B?
The moon orbits the earth with a tangential velocity of 1,022 m/s, and the orbital radius of the moon around the earth is 3.85 x 10° m. The mass of the moon is 7.35 x 1022 kg. a. What is the orbital period of the moon around the earth? Convert to days. b. What is the net force acting on the moon? Date: c. Using Newton's law of universal gravitation, estimate the mass of the earth using your answer from part (b) above.
A child ties a 0.3 kg stone to one end of a string. Holding the other end, the child whirls the stone in a vertical circle of radius 0.9 m. a. At the top of the circle, the speed of the stone is 8 m/s. What is the tension in the string? Draw the free body diagram. b. At the bottom of the circle, the speed of the stone is 9 m/s. What is the tension in the string? Draw the free body diagram. c. The string can withstand a maximum tension of 40 N before it breaks. The child whirls the stone faster and faster. At what point on the circle does the string break? Show this point on a circle, then draw the trajectory of the stone after breaking. Make sure you clearly show the direction of the stone immediately after the string breaks. d. What is the speed of the stone as the string breaks?
A space habitat for a long space voyage consists of two cabins each connected by a cable to a central hub as shown in Figure P7.26. The cabins are set spinning around the hub axis, which is connected to the rest of the spacecraft to generate artificial gravity. (a) What forces are acting on an astronaut in one of the cabins? (b) Write Newton’s second law for an astronaut lying on the “floor” of one of the habitats, relating the astronaut’s mass m , his velocity v , his radial distance from the hub r , and the normal force n, (c) What would n have to equal if the 60.0-kg astronaut is to experience half his normal Earth weight? (d) Calculate the necessary tangential speed of the habitat from Newton’s second law. (e) Calculate the angular speed from the tangential speed. (f) Calculate the period of rotation from the angular speed. (g) If the astronaut stands up, will his head be moving faster, slower, or at the same speed as his feet? Why? Calculate the tangential speed at the top of his…
The moon orbits the earth with a tangential velocity of 1,022 m/s, and the orbital radius of the moon around the earth is 3.85 x 10^8m. The mass of the moon is 7.35 x 10^22 kg. a). What is the orbital period of the moon around the earth? Convert to days. b). What is the net force acting on the moon? c). Using Newton’s law of universal gravitation, estimate the mass of the earth using your answer from part(b) above.
A conical pendulum consists of a ball (m=3 kg) fixed to the end of a massless cord (l=5 m). The ball of the conical pendulum is traveling in uniform circular motion at v=3 m/s. a) What is the acceleration of the ball? What is the net force? b) What is the angle that the string is making with respect to the vertical line? The problem is that the radius r isn't given. My best guess is that b) should be solved before a). Hope this helps. :)
The space debris left from old satellites and their launchers is becoming a hazard to other satellites. (a) Calculate the speed of a satellite in an orbit 590 km above Earth’s surface. (b) Suppose a loose rivet is in an orbit of the same radius that intersects the satellite’s orbit at an angle of 90º relative to Earth. What is the velocity of the rivet relative to the satellite just before striking it? (c) Given the rivet is 2.00 mm in size, how long will its collision with the satellite last? (d) If its mass is 0.450 g, what is the average force it exerts on the satellite? (e) How much energy in joules is generated by the collision? (The satellite’s velocity does not change appreciably, because its mass is much greater than the rivet’s.)
The space debris left from old satellites and their launchers is becoming a hazard to other satellites. (a) Calculate the speed of a satellite in an orbit 590 km above Earth’s surface. (b) Suppose a loose rivet is in an orbit of the same radius that intersects the satellite’s orbit at an angle of 90º relative to Earth. What is the velocity of the rivet relative to the satellite just before striking it? (c) Given the rivet is 2.00 mm in size, how long will its collision with the satellite last? (d) If its mass is 0.450 g, what is the average force it exerts on the satellite? (e) How much energy in joules is generated by the collision? (The satellite’s velocity does not change appreciably, because its mass is much greater than the rivet’s.) Please answer items D and E. A, B, and C, were already answered previously
A dancer is standing on one leg on a drawbridge that is about to open. The coefficients of static and kinetic friction between the drawbridge and the dancer's foot are μs and μk, respectively. n⃗ represents the normal force exerted on the dancer by the bridge, and F⃗g represents the gravitational force exerted on the dancer, as shown in the drawing.(Figure 1). For all the questions, we can assume that the bridge is a perfectly flat surface and lacks the curvature characteristic of most bridges. Before the drawbridge starts to open, it is perfectly level with the ground. The dancer is standing still on one leg. What is the horizontal component of the friction force f⃗? (Express your answer in terms of some or all of the variables n, μs, and/or μk.) (Figure 2). The drawbridge then starts to rise. The dancer continues to stand on one leg. The drawbridge stops just at the point where the dancer is on the verge of slipping. What is the magnitude f of the frictional force now? (Express…