A horizontal spring, of force constant 12 N/m, is mounted at the edge of a lab bench to shoot marbles at targets on the floor 93.0 cm below. A marble of mass 8.3 x 10-3 kg is shot from the spring, which is initially compressed a distance of 4.0 cm. How far does the marble travel horizontally before hitting the floor?
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A horizontal spring, of force constant 12 N/m, is mounted at the edge of a lab bench to shoot marbles at targets on the floor 93.0 cm below. A marble of mass 8.3 x 10-3 kg is shot from the spring, which is initially compressed a distance of 4.0 cm. How far does the marble travel horizontally before hitting the floor?

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- 7.39 - A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (Fig. P7.39). When released, the block moves on a hori- zontal tabletop for 1.00 m before coming to rest. The force con- stant k is 100 N/m. What is the coefficient of kinetic friction between the block and the tabletop? Figure P7.39 k-100 N/m m=0.50 kg H0.20m 1.00 mIn a needle biopsy, a narrow strip of tissue is extracted from a patient with a hollow needle. Rather than being pushed by hand, to ensure a clean cut the needle can be fired into the patient's body by a spring. Assume the needle has mass 5.60 g, the light spring has force constant 395 N/m, and the spring is originally compressed 8.10 cm to project the needle horizontally without friction. (The spring is fully uncompressed before the needle contacts the skin.) The tip of the needle then moves through 2.40 cm of skin and soft tissue, which exerts a resistive force of 7.10 N on it. Next, the needle cuts 3.50 cm into an organ, which exerts a backward force of 9.40 N on it. (a) Find the maximum speed of the needle. m/s (b) Find the speed at which a flange on the back end of the needle runs into a stop, set to limit the penetration to 5.90 cm. m/sA glider of mass m is free to slide along a horizontal air track. It is pushed against a launcher at one end of the track. Model the launcher as a light spring of force constant k compressed by a distance x. The glider is released from rest. (a) Show that the glider attains a speed of v = x(k/m)/2. (Submit a file with a maximum size of 1 MB.) Browse... No file selected. This answer has not been graded yet. (b) Show that the magnitude of the impulse imparted to the glider is given by the expression I = x(km)1/2. (Submit a file with a maximum size of 1 MB.) Browse... No file selected. This answer has not been graded yet. (c) Is more work done on a glider with large or a small mass? large mass small mass the work done is the same on each
- 18. A 2.0 kg mass is placed against a spring of force constant 800 Nim, which has been compressed 0.22 m, as illustrated. The spring is released, and the object moves along the horizontal, frictionless surface and up the slope. 20 kg Cakulate: (a) the maximum elastic potential energy of the spring (b) the maximum velocity of the mass C) the maximum vertical height of the mass, up the sklopeA 0.250 kg dart is fired into a stationary 1.20 kg block of wood that is on a frictionless surface (of course!). The dart and block then impact a spring with a spring constant of k = 1120 N/m and compresses it 0.360 m. (Use g = 10 m/s2, as needed. Do not enter units in numerical answers.) What is the total energy stored in the spring, in Joules, when it is fully compressed? ____ What is the speed, in m/s, of the dart-block combination after the collision? ____ How fast was the dart moving, in m/s, before it hit the block of wood?A ball of mass m = 1.65 kg is released from rest at a height h = 44.0 cm above a light vertical spring of force constant kas in Figure [a] shown below. The ball strikes the top of the spring and compresses it a distance d = 8.80 cm as in Figure [b] shown below. Neglecting any energy losses during the collision, find the following. 771 h b G (a) Find the speed of the ball just as it touches the spring. 2.94 m/s (b) Find the force constant of the spring. 2023.31 XkN/m
- Asap plzzzzzA cannon with a spring constant of 147 N/m is compressed by 20 cm to shoot marbles of mass 30 g. What is the farthest distance that it can shoot without hitting the top of the ceiling that is 3.0m above the ground?Two children are playing a game in which they try to hit a small box on the floor with a marble fired from a spring-loaded gun that is mounted on a table.The target box is horizontal distance D = 2.20 m from the edge of the tabel. Bobby compresses the spring 1.10 cm, but the center of the marble falls 27.0 cm short of the center of the box. How far should Rhoda compress the spring to score a direct hit? Assume that neither the spring nor the ball encounters friction in the gun.
- k AX A 0.40 kg block is pushed against a spring (k = 7.0 N/m) thereby compressing it by 25.0 cm, as shown in the figure above. After it is released the block travels a total distance of 23.3 cm before coming to rest. What is the coefficient of kinetic friction for the horizontal surface?A small glider is placed against a compressed spring at thebottom of an air track that slopes upward at an angle of 40.0° above thehorizontal. The glider has mass 0.0900 kg. The spring has k = 640 N/mand negligible mass. When the spring is released, the glider travels amaximum distance of 1.80 m along the air track before sliding backdown. Before reaching this maximum distance, the glider loses contactwith the spring. (a) What distance was the spring originally compressed?(b) When the glider has traveled along the air track 0.80 m from its initialposition against the compressed spring, is it still in contact with thespring? What is the kinetic energy of the glider at this point?A dart gun contains a spring of spring constant k = 16 N/m which is used to shoot a dart of mass m. The dart leaves the gun at a speed of v = 3.1 m/s after the spring is compressed 1 cm. what is the darts speed when it hits the floor (vf in m/s) if it is fired horizontally at a height of h = 2 m what angle in degree does the darts final velocity make with the horizontal?