A bullet of mass m and speed v passes completely through a pendulum bob of mass M as shown in the figure below. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod of length L and negligible mass. What is the minimum value of v such that the bob will barely swing through a complete vertical circle? (Use any variable or symbol stated above along with the following as necessary: g.) 2MgL v = m -------M
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- It is a sunny day, and we have decided to do lab outside instead of staying cooped up. Ceylani goes to the top of Jordan Hall, and throws a ball of mass 4.87 kg down from the top of Jordan which is 124 m tall. Her lab partner, Tray, is waiting at the bottom to collect the ball and return it, for more data trials. The ball has a speed of 3.8 m/s when Ceylani throws it straight down. What is the speed of the ball as it reaches the ground? Your Answer: units AnswerThe 29-1b rectangular plate is at rest on a smooth horizontal floor. It is given the horizontal impulses as shown in (Figure 1). Assume I = 20 lb. s. Figure 0.5 ft 5 lb.s 60% 2 ft -0.5 ft-- Part A Determine its angular velocity. Express your answer in radians per second to three significant figures. IVE ΑΣΦΑ ↓↑ vec w = 37.747 Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Submit ***** Determine the magnitude of the velocity of the mass center. Express your answer in feet per second to three significant figures. VG = 22.2 ft/s Previous Answers ? rad/sTwo objects (m, = 4.50 kg and m, = 3.30 kg) are connected by a light string passing over a light, frictionless pulley as in the figure below. The 4.50-kg object is released from rest at a point h = 4.00 m above the table. (a) Determine the speed of each object when the two pass each other. m/s (b) Determine the speed of each object at the moment the 4.50-kg object hits the table. m/s (c) How much higher does the 3.30-kg object travel after the 4.50-kg object hits the table? Need Help? Read It
- A Vulcan spaceship has a mass of 6.50 × 104 kg and a Romulan spaceship is twice as massive. Both have engines that generate the same total force of 9.50 × 106 N. If each spaceship fires its engine for the same amount of time, starting from rest and ignoring any change in mass due to whatever is expelled by the engines, calculate the energy of the Vulcan spaceship if the engines are fired for 102 s.Mechanic Physics: Please make sure this is right In the figure, a ball of mass m = 56 g is shot with speed vi = 23 m/s (in the negative direction of an x axis) into the barrel of a spring gun of mass M = 263 ginitially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. (a) What is the speed of the spring gun after the ball stops in the barrel? (b)What fraction of the initial kinetic energy of the ball is stored in the spring?I. With external gravitational field In this second part you are asked to analyze rocket propulsion with the present of gravitational field g. This appears for instance when the rocket is launching from the surface of a planet. (1) Describes why you are not allowed to use the momentum conservation here. (2) Evaluate the speed of the rocket measure by inertial observer on the ground as a function of time v(t) if the speed of the gas propulsion with respect to the rocket is vret and the burning rate is constant constant! dm dt (3) Plot v(t) that you obtained from point (2) above, for three different values of gravitational field (assuming similar initial mass), which is: Imoon = 1.62 m/s? • Gearth = 9.81 m/s? Ijupiter = 24.79 m/s? in a single plot, if the burn dm ate is constant = 1500 kg/s. Analyze your result and dt describes how the speed increases for each situation! 20:18 Ai 11/03/2022
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