One end of a spring is attached to a solid wall while the other end just reaches to the edge of a horizontal, frictionless tabletop, which is a distance h above the floor. A block of mass M is placed against the end of the spring and pushed toward the wall until the spring has been compressed a distance X, as shown above. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. Air resistance is negligible. What is the spring constant?
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- A cord is used to vertically lower an initially stationary block of mass M = 1.9 kg at a constant downward acceleration of g/3. When the block has fallen a distance d = 4.1 m, find (a) the work done by the cord's force on the block, (b) the work done by the gravitational force on the block, (c) the kinetic energy of the block, and (d) the speed of the block. (Note : Take the downward direction positive)A block with mass 2.0 kg is situated on a frictionless incline and connected to a light spring (with constant 100 N/m), as shown in the figure. The block is released from rest when the spring is unstretched. The pulley is frictionless and has negligible mass. What is the speed of the block when it has moved 0.20 m down the plane? Note: the angle shown in the figure is 37 degrees. Options 57 cm/s 68 cm/s 60 cm/s 82 cm/s 35cm/s 76 cm/sShown below is a box of mass m1 that sits on a frictionless incline at an angle above the horizontal ?. This box is connected by a relatively massless string, over a frictionless pulley, and finally connected to a box at rest over the ledge, labeled m2. If m1 and m2 are a height h above the ground and m2 > m1, solve the following. (Assume the reference point of zero gravitational potential energy to be the ground. Use any variable or symbol stated above along with the following as necessary: g.) (a) What is the initial gravitational potential energy of the system? Ui = (b) What is the final kinetic energy of the system? (Take the final state to be the moment before the mass m2 reaches the ground.)
- A cord is used to vertically lower an initially stationary block of mass M = 13 kg at a constant downward acceleration of g/5. When the block has fallen a distance d = 4.4 m, find (a) the work done by the cord's force on the block, (b) the work done by the gravitational force on the block, (c) the kinetic energy of the block, and (d) the speed of the block. (Note : Take the downward direction positive)A block with mass m = 1.09 kg is placed against a spring on a frictionless incline with angle 0 = 38.8° (see the figure). (The block is not attached to the spring.) The spring, with spring constant k = 24 N/cm, is compressed 18.1 cm and then released. (a) What is the elastic potential energy of the compressed spring? (b) What is the change in the gravitational potential energy of the block-Earth system as the block moves from the release point to its highest point on the incline? (c) How far along the incline is the highest point from the release point? (a) Number (b) Number (c) Number mmmmm 0 m k Units Units Units <As shown in the figure, a 0.490kg object is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring is 450 N/m. When it is released, the object travels along a frictionless, horizontal surface to point A, the bottom of a vertical circular track of radius R = 1.00 m, and continues to move up the track. The speed of the object at the bottom of the track is va = 12.8 m/s and the object experiences an average frictional force of 7.00 N while sliding up the track. (a) What is x? (b) If the object were to reach the top of the track, what would be it’s speed at that point? (c) Does the object actually reach the top of the track, or does it fall off before reaching the top?
- A 1.50 x 10°-kg car starts from rest and accelerates uniformly to 17.9 m/s in 11.3 s. Assume that air resistance remains constant at 400 N during this time. (a) Find the average power developed by the engine. Your response differs from the correct answer by more than 10%. Double check your calculations. hp (b) Find the instantaneous power output of the engine at t = 11.3 s, just before the car stops accelerating. Your response differs from the correct answer by more than 10%. Double check your calculations. hp Need Help? Read ItA cord is used to vertically lower an initially stationary block of mass M = 8.5 kg at a constant downward acceleration of g/9. When the block has fallen a distance d = 4.9 m, find (a) the work done by the cord's force on the block, (b) the work done by the gravitational force on the block, (c) the kinetic energy of the block, and (d) the speed of the block. (Note : Take the downward direction positive)(a) Part (a) refers to the figure below. A block of mass m = 0.1 kg is going down and inclined plane with an initial speed v₁. The inclined plane makes an angle = 30° with the horizontal and the inclined plane has a kinetic friction coefficient k 0.7. After travelling a distance L = 0.8 m, the block encounters a spring with a spring constant k 20 N/m. The block comes to rest after compressing the spring an amount x = 0.3 m. What is vi, the initial speed of the block? = x = 0 oooo 0 Initial x=0 momo 0 x Initial μk 1 Vi m Mk Part a (b) Part (b) refers to the figure below. The block then goes up the inclined plane again. After the block travels a distance x, the block leaves the spring. The block continues to go up the inclined plane and the block comes to rest after it travels a distance d past the equilibrium position for the spring. What is the distance d? x=0 Part b t 0 x=0 Final 0000 Ө μk Final Mk
- One end of a spring is attached to a solid wall while the other end just reaches to the edge of a horizontal, frictionless tabletop, which is a distance h above the floor. A block of mass M is placed against the end of the spring and pushed toward the wall until the spring has been compressed a distance X, as shown above. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. Air resistance is negligible. Determine the time elapsed from the instant the block leaves the table to the instant it strikes the floor.An inclined plane of angle ? = 20.0° has a spring of force constant k = 510 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure below. A block of mass m = 2.63 kg is placed on the plane at a distance d = 0.294 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest?In the figure, a spring with spring constant k = 180 N/m is at the top of a frictionless incline of angle e = 38°. The lower end of the incline is distance D = 0.92 m from the end of the spring, which is at its relaxed length. A 1.5 kg canister is pushed against the spring until the spring is compressed 0.22 m and released from rest. (a) What is the speed of the canister at the instant the spring returns to its relaxed length (which is when the canister loses contact with the spring)? (b) What is the speed of the canister when it reaches the lower end of the incline? (a) Number UnitšTm/s (b) Number Unitsm/s Click if you would like to Show Work for this question: Open Show Work Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER 10:37 PM ENG e to search 4/4/2021 13) 19home & 7. LEGO 08. 9. E R. Y