The figure shows a thin rod, of length L= 2.20 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 8.10 kg is attached to the other end. The rod is pulled aside to angle 00 = 8 and released with initial velocity V 0. (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same if the mass is increased?
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- The figure shows a thin rod, of length L = 2.20 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 9.70 kg is attached to the other end. The rod is pulled aside to angle θ0 = 5.4° and released with initial velocity v→0 = 0. (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same ifthe mass is increased?The figure shows a thin rod, of length L = 2.30 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A heavy ball of mass m = 100 kg is attached to the other end. The rod is pulled aside to angle θ0 = 5.1° and released with initial velocity v→0 = 0. (a) What is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain the same ifthe mass is increased? (a) Number Enter your answer for part (a) in accordance to the question statement Units Choose the answer for part (a) from the menu in accordance to the question statement This answer has no units° (degrees)mkgsm/sm/s^2NJWN/mkg·m/s or N·sN/m^2 or Pakg/m^3gm/s^3times (b) Choose the answer for part (b) from the menu in accordance to the question statement increasedecreaseremain the sameA rod of length L=3.00 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A ball of mass m = 10.0 kg is attached to the other end. The rod is pulled aside to angle θ0 = 70° and released with initial velocity ? = 5.00 m/s. (a) What is the speed of the ball at the lowest point? (b) what is the speed of the ball when θ = 10°?
- A matchbox car track begins at a height y=1.0, goes down hill to y=0, goes around a vertical loop of radius 0.2 m and then goes back up a smaller hill to end at a height y=0.3 m. The speed of the car at the end of the track is closest to which value?Given the following information: Mass: 3.65kgg: 9.81m/s2Linear velocity in x = -0.25 m/sLinear velocity in y = 2.426 m/smoment of inertia = 0.06395 kg*m2angular velocity = 5.2 rad/ s2height of the center of mass = 0.41m Calculate the total energy of the segment.A ball of mass m moves in uniform circular motion with radius r and speed v. After one cycle, what is the work done by the force that causes the radial acceleration? (πmv^2)/2 (2mv^2)/π πmv^2 2πmv^2 0
- A lawnmower engine brings a 1 m-long by 0.1 m-wide cutting blade of mass 2.55 kg from rest to an angular speed of 1800 rpm in 1.27 seconds. What is the average power supplied by the engine during this period? 2910 W 2940 W 2970 W 3000 W 3030 WA 3.0-kg mass slides on a frictionless horizontal surface with a speed of 3.0 m / s when it collides with a 1.0-kg mass initially at rest as shown in the figure. The two masses stick to each other and slide on a frictionless circular wheel portion of radius 0.40 m. At what maximum height h, above the horizontal, do the masses reach? Answers: a) 0.18 m b) 0.15 m c) 0.21 m d) 0.26 m e) 0.40 mFor a satellite orbiting the earth, the distance D from the center of the Earth is a powerfunction of the period P. Let k denote the power. So D = cP 0.669 . If the distance from the center of the Earth to one satellite is twice that of a second, how do their periods compare?
- A small rock with mass 0.22 kg is released from rest at point A, which is at the top edge of a large, hemispherical bowl with radius R = 0.58 m . Assume that the size of the rock is small compared to R, so that the rock can be treated as a particle, and assume that the rock slides rather than rolls. The work done by friction on the rock when it moves from point A to point B at the bottom of the bowl has magnitude 0.22 J. Between points A and B, how much work is done on the rock by the normal force? Between points A and B, how much work is done on the rock by gravity? What is the speed of the rock as it reaches point B? Of the three forces acting on the rock as it slides down the bowl, which (if any) are constant and which are not? Explain. Just as the rock reaches point B, what is the normal force on it due to the bottom of the bowl?To form a pendulum, a 0.092 kg ball is attached to one end of a rod of length 0.62 m and negligible mass, and the other end of the rod is mounted on a pivot. The rod is rotated until it is straight up, and then it is released from rest so that it swings down around the pivot. When the ball reaches its lowest point, what are (a) its speed and (b) the tension in the rod? Next, the rod is rotated until it is horizontal, and then it is again released from rest. (c) At what angle from the vertical does the tension in the rod equal the weight of the ball? (d) If the mass of the ball is increased, does the answer to (c) increase, decrease, or remain the same?A puck of mass m = 47.0 g is attached to a taut cord passing through a small hole in a frictionless, horizontal surface (see figure below). The puck is orbiting with initial speed vi = 1.60 m/s in a circle of radius ri = 0.310 m. The cord is then slowly pulled from below, decreasing the radius of the circle to r = 0.130 m. How much work is done (in J) by the hand in pulling the cord so that the radius of the puck's motion changes from 0.310 m to 0.130 m?