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 isattached to a wall. The spring is compressed æo = 0.400 m, and a block with mass0.300 kg is attached tohorizontal surface. Electronic sensors measure the speed v of the block after it hastraveled a distance d from its initial position against the compressed spring. The measuredThe spring is then released, and the block moves along aO The spring force is always less than friction, so the block decelerates all the time.values are listed in the table below.SubmitPrevious Answersd (m) v (m/s)v Correct0.050.850.101.11Part B0.151.240.251.26Use the work-energy theorem to derive an expression for v? in terms of d. Do not substitute the value of æo into the expression.0.301.140.35 0.90Express your answer in terms of some or all of the variables k, m, d, xo, Hk, and the acceleration due to gravity g.0.400.36Ηνα ΑΣφv(t) =SubmitRequest Answer

Given : Xo=0.400m, m =0.300kg v²(t) =?

The spring force is initially greater than friction, so the block accelerates forward. But eventually the spring force decreases enough so that it is (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 r = 0.400 m, and a block with mass 0.300 kg is attached to it. The spring is then released, and the block moves along a 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 values are listed in the table below. O The spring force is always less than friction, so the block decelerates all the time. 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 0.30 1.14 Use the work-energy theorem to derive an expression for v? in terms of d. Do not substitute the value of zg into the expression. 0.35 0.90 Express your answer in terms of some or all of the variables k, m, d, r9, Hk, and the acceleration due to gravity g. 0.40 0.36 v(t) = Submit Request Answer

The spring force is initially greater than friction, so the block accelerates forward. But eventually the spring force decreases enough so that it is (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 r = 0.400 m, and a block with mass 0.300 kg is attached to it. The spring is then released, and the block moves along a 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 values are listed in the table below. O The spring force is always less than friction, so the block decelerates all the time. 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 0.30 1.14 Use the work-energy theorem to derive an expression for v? in terms of d. Do not substitute the value of zg into the expression. 0.35 0.90 Express your answer in terms of some or all of the variables k, m, d, r9, Hk, and the acceleration due to gravity g. 0.40 0.36 v(t) = Submit Request Answer

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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of k = 700 N/m. A block of mass m = 1.10 kg is attached to the spring and rests on a frictionless, horizontal surface as in the figure below. The left end of a horizontal spring is attached to a vertical wall, and the right end is attached to a block of mass m. The spring has force constant k. Three positions are labeled along the spring, and the block is pulled to the rightmost position, stretching the spring. The leftmost position, the equilibrium position, is labeled x = 0. The middle position, halfway between the leftmost and rightmost positions, is labeled x = xi⁄2. The rightmost position is labeled x = xi. (a) The block is pulled to a position xi = 6.80 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 6.80 cm from equilibrium. J(b) Find the speed of the block as it passes through the equilibrium position. m/s(c) What is the speed of the block when it is at a position xi/2 = 3.40 cm? m/s
You push a 2.00 kg block against a horizontal spring, compressing the spring by 15.0 cm. Then you release the block, and the spring sends it sliding across a frictionless tabletop for 30.0 cm. The block then moves up an 30.0°-incline plane and it moves up the incline for 65.0 cm before coming to rest. If the spring constant is 1000.0 N/m, determine the coefficient of kinetic friction between the block and the incline plane.
A person accelerates a 12 kg mass at 2.7m/(s^2) by pulling on a spring that is 1.1 m long at rest. The coefficient of friction between the two surfaces is 0.2. L 3 If the spring extends to 1.35 m, what is the spring. constant k? k = 129.6N/m ? 0%
You attach a 2.50 kg weight to a horizontal spring that is fixed at one end. You pull the weight until the spring is stretched by 0.400 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)? 25.12 Your answer is off by a factor of 2. Note that the given time is the amount of time to make one half of a period, not a full period. m/s
The string on a bow can be described as a spring. A particular bow’s string has a spring constant of 110 N/m and is pulled back 0.6 m to launch a 0.02 kg arrow. If the bow has a mass of 1 kg, what will be the speed at which the arrow is launched?
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The elastic energy stored in your tendons can contribute up to 35% of your energy needs when running. Sports scientists have studied the change in length of the knee extensor tendon in sprinters and nonathletes. They find (on average) that the sprinters’ tendons stretch 41 mm, while nonathletes’ stretch only 33 mm. The spring constant for the tendon is the same for both groups, 33 N/mm. What is the difference in maximum stored energy between the sprinters and the nonathletes?
I'm trying to find the block's velocity once it leaves the spring. A block of mass, 1.8 kg is attached and secured to an end of a spring with a spring constant of 10,000 N/cm. The other end of the spring is secured to the wall. The block is pushed against the spring, which compresses the spring to a position of x = -0.04 cm. When uncompressed, the end of the spring that is attached to the block is at a position of x = 0.00 cm. The block/spring system is then released from rest, and the block travels along a rough horizontal track for the length of the spring. At 0.00 cm the surface changes. Can you help me calculate the block's velocity once it leaves the spring? Thank you.
An orthodontic spring, connected between the upper and lower jaws, is adjusted to provide no force with the mouth open. When the patient closes her mouth, however, the spring compresses by 6.0 mm. What force is exerted if the spring constant is 160 N/m?
A 1120-kg car is being driven up a 7.03 ° hill. The frictional force is directed opposite to the motion of the car and has a magnitude of 490 N. A force F is applied to the car by the road and propels the car forward. In addition to these two forces, two other forces act on the car: its weight W and the normal force FN directed perpendicular to the road surface. The length of the road up the hill is 281 m. What should be the magnitude of F, in Newtons, so that the net work done by all the forces acting on the car is 188 kJ?
To measure the static friction coefficient between a 1.40-kg block and a vertical wall, a spring (k = 770 N/m) is attached to the block, is pushed on the end in a direction perpendicular to the wall until the block does not slip downward (see figure). If the spring is compressed by 0.048 m, what is the coefficient of static friction?
A 1.50-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of vi = 3.30 m/s when it makes contact with a light spring (Figure b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) 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 (Figure e). a) Find the distance of compression d (in m). b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d). c) Find the distance D (in m) where the object comes to rest. d) If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to rest after moving to the left?