A 11.2 kg weather rocket generates a thrust of 220 N. The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is 600 N/m, is anchored to the ground.
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- A small ball is attached to one end of a spring that has an unstrained length of 0.222 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 4.52 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0102 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless? Number i eTextbook and Media Units +The left end of a 1.200 m-long board is raised 0.300 m above the level table and a 0.800 kg cart (frictionless wheels) is placed on the ramp near the top (left) end. The cart is held in place by a compression spring that pushes into the cart horizontally. [ a) compute the ramp's distance along the horizontal. ] b) compute the spring Force magnitude. [c) compute the ramp Force magnitude. ] [ d) calculate the cart's acceleration if released from the spring. ] 2.450 N 7.840 N 2.024 N my answer is very different than any of these others 30.364 N 8.097 N 1.960 NA mass of 0.4 kg is held against compressed spring and released from rest while upon a horizontal, frictionless surface. The spring constant of the spring is 890 N/m and the mass leaves the spring with a speed of 7.51 m/s. Assume that the spring pushes the mass across the surface. By what amount was the spring initially compressed relative to its equilibrium position?
- The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k-2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 0=0°. The spring's length at the state 2 is L2=4 m. _(kg-m²) (two decimal (9) The mass moment of inertial about the IC center is IIC=_ places) L₂ State 2 State 1A cube, whose mass is 0.700 kg, is attached to a spring with a force constant of 110 N/m. The cube rests upon a frictionless, horizontal surface (shown in the figure below). A cube labeled m is attached to the right end of a horizontal spring, and the left end of the spring is attached to a wall. The spring is stretched horizontally such that the cube is displaced by a distance A to the right of its equilibrium position. The cube is pulled to the right a distance A = 0.110 m from its equilibrium position (the vertical dashed line) and held motionless. The cube is then released from rest. (a) At the instant of release, what is the magnitude of the spring force (in N) acting upon the cube? N (b) At that very instant, what is the magnitude of the cube's acceleration (in m/s2)? m/s2 (c) In what direction does the acceleration vector point at the instant of release?7. A 5.00-kg solid ball of radius 0.250 meters is pressed back against a spring having a spring constant of 1625 N/m, compressing the spring by 20.0 cm. The solid ball is released, and the object rolls 1.00 meter on a frictionless horizontal surface (without slipping) and then rolls up a rough 3.00 meter long incline plane (with an angle of 10.0 degrees to the horizontal). The ball eventually comes to rest at the top of the incline plane. When the ball rolls down the incline plane and compresses the spring, how much will the ball compress the spring? 3.00 m 1.00 m
- A 0.454-kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 23.0 N/m. The block rests on a frictionless surface. A 5.90×10−2-kg wad of putty is thrown horizontally at the block, hitting it with a speed of 8.96 m/s and sticking.How far does the putty-block system compress the spring?A 0.650 kgkg block is attached to a spring with spring constant 14.0 N/mN/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 46.0 cm/scm/s. What is the block's speed at the point where x=0.20 A?A block of mass, 1.5 kg is attached and secured to an end of a spring with a spring constant of 10,000 N/cm. The other end of the spring is secured to the wall. The block is pushed against the spring, which compresses the spring to a position of x = -0.04 cm. When uncompressed, the end of the spring that is attached to the block is at a position of x = 0.00 cm. The block/spring system is then released from rest, and the block travels along a rough horizontal track for the length of the spring. At 0.00 cm the surface changes. Can you help me calculate the block's velocity once it leaves the spring? Thank you.
- A plank of wood (of length L meters) is balanced on a fulcrum that is situated directly underneath the middle of the plank. On the far-left end of the plank is a vertical spring (that has a spring constant of 1000 N/m) that has one end attached to the ground, and the other end is attached to the bottom of the plank. A block of mass 5 kg is placed on top of the far-right side of the plank. Assume the plank-system is in equilibrium. How much is the spring stretched by after the block has been placed on the right-side of the plank? O 0.196 m O 0.147 m O 0.049 m 0.098 mA cube, whose mass is 0.720 kg, is attached to a spring with a force constant of 110 N/m. The cube rests upon a frictionless, horizontal surface (shown in the figure below). A cube labeled m is attached to the right end of a horizontal spring, and the left end of the spring is attached to a wall. The spring is stretched horizontally such that the cube is displaced by a distance A to the right of its equilibrium position. The cube is pulled to the right a distance A = 0.140 m from its equilibrium position (the vertical dashed line) and held motionless. The cube is then released from rest. (a) At the instant of release, what is the magnitude of the spring force (in N) acting upon the cube? N (b) At that very instant, what is the magnitude of the cube's acceleration (in m/s2)? m/s2 (c) In what direction does the acceleration vector point at the instant of release? Away from the equilibrium position (i.e., to the right in the figure). Toward the equilibrium position (i.e., to…A block of mass ?=3.70 kgm=3.70 kg slides along a horizontal table with velocity ?0=4.00 m/sv0=4.00 m/s. At ?=0x=0, it hits a spring with spring constant ?=43.00 N/mk=43.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.400μ=0.400. How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.