A toy gun uses a spring to project a 6.2-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 0.039 N exists between barrel and projectile. With what speed does the projectile leave the barrel if the spring was compressed 5.7 cm for this launch? (Assume the projectile is in contact with the barrel for the full 12 cm.)

22. A block of mass m-1 kg is held compressing a spring a distance z 0.5 m on a smooth horizontal table. The force constant for the spring is k-100 N/m and the table is h-1 m above the ground. If the block is released from rest, what is the speed in m/s of the block just before hitting the ground? (a) 4.90 (b) 5.39 (c) 6.00 (d) 6.71 (8) 7.48

The spring force is initially greater than friction, so the block accelerates forward. But eventually the spring force decreases enough so that it is le (decelerates). In a physics lab experiment, one end of a horizontal spring that obeys Hooked's law is attached to a wall. The spring is compressed æo = 0.400 m, and a block with mass 0.300 kg is attached to horizontal surface. Electronic sensors measure the speed v of the block after it has traveled a distance d from its initial position against the compressed spring. The measured The spring is then released, and the block moves along a O The spring force is always less than friction, so the block decelerates all the time. values are listed in the table below. Submit Previous Answers d (m) v (m/s) v Correct 0.05 0.85 0.10 1.11 Part B 0.15 1.24 0.25 1.26 Use the work-energy theorem to derive an expression for v? in terms of d. Do not substitute the value of æo into the expression. 0.30 1.14 0.35 0.90 Express your answer in terms of some…

A spring-loaded toy gun is aimed vertically and fired after a spherical projectile of mass m = 28.0 g is loaded by compressing the spring with force constant k = 830 N/m a distance of 9.20 cm. As the projectile travels a total distance of 56.0 cm along the barrel of the gun, it experiences a friction force of 2.00 N. What is the height reached by the projectile above its initial location with the spring compressed?