An object of mass m₁ = 4.00 kg is tied to an object of mass m₂ = 3.00 kg with String 1 of length 1 = 0.500 m. The combination is swung in a vertical circle on a second string, String 2, of length 1 = 0.500 m. During the motion, the two strings remain in line with one another as shown. At the top of its motion, m₂ is traveling at v = 4.00 m/s. a. Draw the force diagrams for both objects when at the top of the swing. m1 String 1 String mo b. Given that m2 is traveling at v₂ = 4.00 m/s at the top, what must be the velocity of m₁ at this point? You should be able to reason it out.

An astronaut orbiting the Earth is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 700 km above the Earth's surface, where the free-fall acceleration is 8.28 m/s2. Take the radius of the Earth as 6400 km. Determine the speed of the satellite. x m/s Determine the time interval required to complete one orbit around the Earth, which is the period of the satellite. X min

Length l=0.6m. M is brought to uniform circular motion

A 0.7-kg mass attached to the end of a string swings in a vertical circle (radius = 2.3 m). When the mass is at the lowest point on the circle, the speed of the mass is 15 m/s. What is the magnitude of the force of the string in newtons (i.e. tension in the string) on the mass at this position?

An airline passenger drops a coin while the plane is moving horizontally at 250 m/s. v = 250 m/sh = 1.3 m      How far does the coin travel horizontally in meters with respect to the Earth if it falls 1.3 m?

An object of mass m; = 4.00 kg is tied to an object of mass m2 = 2.80 kg with String 1 of length e = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length e = 0.500 m. During the motion, the two strings are collinear at all times as shown in the figure. At the top of its motion, m, is traveling at v = 5.90 m/s. String 1 e String 2 (a) What is the tension in String 1 at this instant? (b) What is the tension in String 2 at this instant? N (c) Which string will break first if the combination is rotated faster and faster? O string 1 O string 2

A ball of mass m = 0.275 kg swings in a vertical circular path on a string of length L = 0.850 m as shown.  At the lowest point in its vertical path the ball is 1.5 m from the ground. If the string is cut when the ball is at the bottom of the string moving with a speed of 7.5 m/s, how far in the x-direction does the ball move before hitting the ground?

A ball is tied to a string and whirled in a horizontal circle at a constant 4 revolutions per second. Categorize the kinematic properties according to whether they are constant and zero, constant and nonzero, or not constant in value.   v: linear speed (scalar)  v→: linear velocity (vector) ar: radial (centripetal) acceleration (scalar) a→r: radial (centripetal) acceleration (vector) ω: angular speed (scalar)  ω→: angular velocity (vector) α: angular acceleration (scalar)  α→: angular acceleration (vector)

A particle travels in a circular orbit of radius r = 143.8 m. Its speed is changing at a rate of at = 16.1 m/s2 at an instant when its speed is v = 45.3 m/s. What is the magnatude of the  total aceleration of the particle in m/s^2?