2. A toy launcher uses a spring to project a 150. g block horizontally. The spring has a springconstant of 8.00 N/m and it is initially compressed by a distance of 25.0 cm from its equilibriumposition. The coefficient of friction between the block and the surface of the launcher is 0.500.a) Determine the block's speed when it reaches the spring's equilibrium position. (The answer0.940 m/s.)b) Determine the compression distance from equilibrium where the block reaches its greatestspeed.c) Determine the greatest speed of the block.

Answered: Image /qna-images/answer/b31f9b31-8742-45c5-b13e-62b95c14fffc.jpg

Answered: 2. A toy launcher uses a spring to…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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13. A bow made for arrows behaves just like a spring. You pull on the bow and stretch it a distance of 0.44m with a maximum force of 112.9N. Then the bow shoots a 0.0721kg arrow horizontally at a target. Calculate the speed of the arrow as it leaves the bow
4. Suppose a block of mass m slides over a surface with kinetic friction coef- ficient towards a spring with spring constant k. The block reaches the spring with spring with speed vo. (a) How far is the spring compressed at maximum compression? Give your answer in terms of m, k, lk, and vo. (b) What is an expression for the maximum value that v。 could be in order for the spring to remain maximally compressed, no matter what material the block and surface are? Give your answer in terms of m, k, pk. Hint: the coefficient of static friction is always greater than the coefficient of kinetic friction.
9. A block with a mass of 1.9 kg is held against a spring constant 249N/m. The block compresses the spring 21 cm from its equilibrium position. After the block is released, it travels along a frictionless surface and then up a frictionless ramp. The ramp's angle of inclination is 28° a. Determine the elastic potential energy stored in the spring before the mass is released. b. Calculate the speed of the block as it travels along the horizontal surface. Determine how far along the ramp the block will travel before it stop. 28°
A 0.100 kg block of ice is placed against a horizontal, compressed spring mounted on a horizontal tabletop that is 1.50 m above the floor. The spring has force constant 2000 N/m and is initially compressed 0.045 m. The mass of the spring is negligible. The spring is released, and the block slides along the table, goes off the edge, and travels to the floor. If there is negligible friction between the block of ice and the tabletop, what is the speed of the block of ice when it reaches the floor?
35. A horizontal spring attached to a wall has a force constant QC of k = 850 N/m. A block of mass m = 1.00 kg is attached to the spring and rests on a frictionless, horizontal sur- face as in Figure P8.35. (a) The block is pulled to a posi- tion x, = 6.00 cm from equilibrium and released. Find the elastic potential energy stored in the spring when the block is 6.00 cm from equilibrium and when the block passes through equilibrium. (b) Find the speed of the block as it passes through the equilibrium point. (c) What is the speed of the block when it is at a position x/2 = 3.00 cm? (d) Why isn't the answer to part (c) half the answer to part (b)? %3D miwwwwwww k x= 0 x = x;/2 x= x; Figure P8.35
Problem #1: The massless spring of a spring gun has a force constant =10N/cm. When the gun is aimed vertically, a 12-g projectile is shot to a height of 5.0 m above the end of the expanded spring. (See below.) a. What distance, d, was the spring compressed initially? b. What speed does the ball have when it is a height of 2.0m above the equilibrium position of the spring? 5.0 m d NNNNNNNN CNNNNNNN
A 3.00 kgkg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0360 mm. The spring has force constant 845 N/mN/m. The coefficient of kinetic friction between the floor and the block is 0.420. The block and spring are released from rest and the block slides along the floor. What is the speed of the block when it has moved a distance of 0.0170 mm from its initial position? (At this point the spring is compressed 0.0190 mm.) Express your answer with the appropriate units.
4. A 1.00 kg object slides to the right on a surface having a coefficient of kinetic friction 0.250. The m object has a speed of vị 3.00" when it makes contact with a light spring that has a force constant S of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d. The object is then forced toward the left by the spring and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring. a) Find the distance of compression d b) Find the speed v at the unstretched position when the object is moving to the left c) Find the distance D where the object comes to rest. k a m b ,= 0 www. v = 0 e +D→
63. A 10.0-kg block is released from rest at point in Fig- Mure P8.63. The track is frictionless except for the por- tion between points and ©, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant 2 250 N/m, and compresses the spring 0.300 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points and ©. 3.00 m 6.00 m Figure P8.63
8. A vertically mounted spring (k = 800 N/m) is compressed by 21.0 cm relative to its unstrained length. A mass (m = 0.40 kg) is placed at rest against the spring. When the spring is released, the mass is launched vertically in the air. How high from the release point can the mass reach? m
You attach a 2.10 kg weight to a horizontal spring that is fixed at one end. You pull the weight until the spring is stretched by 0.300 m and release it from rest. Assume the weight slides on a horizontal surface with negligible friction. The weight reaches a speed of zero again 0.100 s after release (for the first time after release). What is the maximum speed of the weight (in m/s)? m/s Need Help? Read It Submit Answer
A block of mass 2.9 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 470 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 13°. a) The block, starting from rest, slides down the ramp a distance 54 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest? b) After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right after it comes off the spring? c) What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed?

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