M₁ M₂ Two blocks, which can be modelled as point masses, are connected by a massless string which passes through a hole in a frictionless table. A tube extends out of the hole in the table so that the portion of the string between the hole and M1 remains parallel to the top of the table. The blocks have masses M1 = 1.2 kg and M2 = 2.3 kg. Block 1 is a distance r = 0.85 m from the centre of the frictionless surface. Block 2 hangs vertically underneath.
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- The figure shows Atwood's machine, in which two containers are connected by a cord (of negligible mass) passing over a frictionless pulley (also of negligible mass). At time t = 0 container 1 has mass 1.2 kg and container 2 has mass 2.7 kg, but container 1 is losing mass (through a leak) at the constant rate of 0.21 kg/s. At what rate is the acceleration magnitude of the containers changing at (a)t = 0 and (b)t = 5 s? (c) When does the acceleration reach its maximum value? (a) Number (b) Number (c) Number Units Units Units Click if you would like to Show Work for this question: Open Show WorkAt a time when mining asteroids has become feasible, astronauts have connected a line between their 3070-kg space tug and a 5580-kg asteroid. They pull on the asteroid with a force of 307 N. Initially the tug and the asteroid are at rest, 436 m apart. How much time does it take for the ship and the asteroid to meet?Block A with a mass of 1.2 kg is at rest on a flat, horizontal, frictionless table 1 m from the edge. A string is tied to Block A at one end, and the other is tied to Block B, which has a mass of 2.6 kg. While Block A is being held in place on the table, Block B is lowered over the edge of the table and allowed to hang freely. When Block A is released, it slides to the edge of the table. Assume that the string has an insignificant mass. How much time does it take for Block A to reach the edge of the table?
- The figure below shows four objects at the corners of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the top left and going clockwise, the masses of the objects are m, = 2.50 kg, m, = 2.50 kg, m, = 4.30 kg, and ma = 2.10 kg. m, m2 6.00 m m m3 4.00 m (a) What is the moment of inertia (in kg · m2) of the system about the x-axis? kg · m2 (b) What is the moment of inertia (in kg · m2) of the system about the y-axis? kg · m2 (c) What is the moment of inertia (in kg · m2) of the system about an axis through O and perpendicular to the page (that is, the z-axis)? kg • m2 Need Help? Read It Page 2 oThe three masses shown in (Figure 1) are connected by massless, rigid rods. Assume that m₁ = 180 g and m2 = 300 g. Figure A y 200 g 12 cm B m₂ 10 cm C m₁ -X 1 of 1 Part A What is the x-coordinate of the center of mass? Express your answer with the appropriate units. ► View Available Hint(s) x = Submit Part B Value y = μA What is the y-coordinate of the center of mass? Express your answer with the appropriate units. ► View Available Hint(s) Submit Value Provide Feedback μA Units ? Units ?Block 1 with mass 66 kg is sitting on a horizontal frictionless surface as shown below. It is attached to a string of negligible mass that goes over a pulley with negligible mass and negligible friction. The other end of the string is attached to block 2 with mass 254 kg. Find the magnitude of the common acceleration of the two blocks! A. a = 37.75 m/s² B. a = 13.25 m/s² C. a = 5.76 m/s² D. a = 0 m/s² E. a = 7.79 m/s² 1 2
- The figure below shows four objects at the corners of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the top left and going clockwise, the masses of the objects are m, = 3.50 kg, m2 = 2.50 kg, m3 = 4.30 kg, and m, = 1.90 kg. m, m2 6.00 m m3 + 4.00 m→ (a) What is the moment of inertia (in kg • m2) of the system about the x-axis? kg • m2 (b) What is the moment of inertia (in kg · m2) of the system about the y-axis? kg • m (c) What is the moment of inertia (in kg · m2) of the system about an axis through O and perpendicular to the page (that is, the z-axis)? kg · m2A tennis ball weighing 0.560 N moves along a trajectory as a function of time r = (10 m/s)t2i - (2 m/s)t3j at t=1s, it collides with a rock with a time duration of 3 ms, during the collision the net force on the ball is constant and equal to (- 320N)i+(100N)j . a. What are the x- and y-components of the impulse of the net force applied to the ball? b. What are the x- and y-components of the final velocity of the ball?Please do part b
- Two blocks are connected by a massless string which passes through a hole on a frictionless table. A tube extends out of the hole in the table so that the portion of the string between the hole and M1 remains parallel to the top of the table. The blocks have masses M1 = 1.9 kg and M2 = 2.2 kg. Block 1 is a distance r = 0.65 m from the center of the frictionless surface. Block 2 hangs vertically underneath. 1)Assume that block two, M2, does not move relative to the table and that block one, M1, is rotating around the table. What is the speed of block one, M1, in meters per second? 2) how many seconds does it take for M1 to make one revoltuionPart A A rocket is at 0.019 of the distance between Earth and the Sun, closer to Earth. What is the ratio between the force on the rocket due to the Sun and the force on the rocket due to Earth? The mass of the Sun is 2.0 × 10³⁰ kg and the mass of Earth is 5.97 × 1024 kg.At an instant when a soccer ball is in contact with the foot of the player kicking it, the horizontal or x component of the ball's acceleration is 700 m/s2 and the vertical or y component of its acceleration is 750 m/s2. The ball's mass is 0.32 kg. What is the magnitude of the net force acting on the soccer ball at this instant?