A toy gun uses a spring to project a 5.9 g soft rubber sphere horizontally. The spring constant is 8.0 N/m, the barrel of the gun is 14 cm long, and a constant frictional force of 0.026 N exists between barrel and projectile. With what speed does the projectile leave the barrel if the spring was compressed 5.4 cm for this launch? (Assume the projectile is in contact with the barrel for the full 14 cm)
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- Neglecting air resistance, how much would I have to raise the vertical height if I wanted to double the impact speed of a falling object?A 6 000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as illustrated in Figure P6.27 (page 188). Both springs are described by Hookes law and have spring constants k1 = 1 600 N/m and k2, = 3 400 N/m. After the first spring compresses a distance of 30.0 cm, the second spring acts with the first to increase the force as additional compression occurs as shown in the graph. The car comes to rest 50.0 cm after first contacting the two-spring system. Find the cars initial speed.Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an archer pulls the bow back 50 cm and holds it in position with a force of 150 N. If the mass of the arrow is 50 g and the “spring” is massless, what is the speed of the arrow immediately after it leaves the bow?
- A toy gun uses a spring to project a 5.3 - g soft rubbersphere horizontally. The spring constant is 8.0 N/m, thebarrel of the gun is 15 cm long, and a constant frictional forceof 0.032 N exists between barrel and projectile. With whatspeed does the projectile leave the barrel if the spring wascompressed 5.0 cm for this launch?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 small anvil of massm= 10 kg is dropped from rest from a heightH= 7.0 m abovethe top of a large, vertically-oriented spring, which gets compressed from its relaxed(equilibrium) position when the anvil lands on it. The spring has spring constantk= 5000Nm. How far does the anvil compress the spring? You may treat the fullcompression distance as your ”ground”, and assume no air resistance.
- A 2.9-kg block slides with a speed of 2.1 m>son a frictionless horizontal surface until it encounters a spring.(a) If the block compresses the spring 5.6 cm before coming to rest,what is the force constant of the spring? (b) What initial speedshould the block have to compress the spring by 1.4 cm?A spring project uses a plastic ball. (a) With what speed does the projectile leave the barrel of the cannon? (b) At what point does the ball have maximum speed? (c) What is this maximum speed? When the ball is 5.30 grams. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the ball is fired and moves 15.0cm through the horizontal barrel of the cannon and the barrel exerts a constant friction force of 0.0320N on the ball. (Choose the three best answers, one for each sub question)A toy gun uses a spring to project a 4.8-g soft rubber sphere horizontally. The spring constant is 8.0 N/m, the barrel of the gun is 12 cm long, and a constant frictional force of 0.038 N exists between barrel and projectile. With what speed does the projectile leave the barrel if the spring was compressed 6.8 cm for this launch? (Assume the projectile is in contact with the barrel for the full 12 cm.)
- A 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?In a railroad yard, a 35,000-kg boxcar moving at 7.5 m/s isstopped by a spring-loaded bumper-mounted at the end of thelevel track. If k = 2.8 MN/m, how far does the spring compressin stopping the boxcar?A spring clamped to the table shoots Block 1 (110 g, wood) directly into Block 2 (80 g, steel), this perfectlyelastic collision will launch the second block up a ramp. When the spring is compressed 14 cm, the block travels upa ramp that has a height of 86 cm and then compresses another spring (310 N/m) at the top, 5 cm. What then isthe spring constant for the first spring? Assume that all surfaces are frictionless