m = 5.20 kg is sliding across a horizontal frictionless surface with an initial speed vi = 3.30 m/s when it encounters a spring of constant k = 2697 N/m. (a) The box comes momentarily to rest after compressing the spring by some amount xc. Calculate the change in the kinetic energy of the spring. (Hint: Should this value be negative or positive?) J
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- A pogo stick has a spring with a force constant of 2.50 x 10^4 cm, which can be compressed 10.4cm. What is the maximum height in meters above the compressed position of the spring, can a child jump with the stick using only the maximum elastic potential energy in the spring, if the child and stick have a combined mass of 35 kg?A particle can move along only an x axis, where conservative forces act on it (see the figure and the table below). The particle is released at x = 5.00 m with a kinetic energy of K = 14.0 J and a potential energy of U = 0.0 J. If its motion is in the negative direction of the x axis, what are its (a) K and (b) U at x = 2.00 m and its (c) K and (d) U at x = 0? If its motion is in the positive direction of the x axis, what are its (e) K and (f) U at x = 11.0 m, its (g) K and (h) U at x = 12.0 m, and its (i) K and (j) U at x = 13.0 m? Next, the particle is released from rest at x = 0. What are (k) its kinetic energy at x = 5.0 m and (I) the maximum positive position xmax it reaches? F, x (m) 4 6. 8 10 12 Range Force F = +(3.00 N)i F, = +(5.00 N)i O to 2.00 m 2.00 m to 3.00 m 3.00 m to 8.00 m F = 0 F, = -(4.00 N)i F, = -(1.00 N)i 8.00 m to 11.0 m 11.0 m to 12.0 m 12.0 m to 15.0 m F = 0In the figure, a 2.6 kg block is accelerated from rest by a compressed spring of spring constant 660 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction -0.272. The frictional force stops the block in distance D 7.9 m. What are (a) the increase in the thermal energy of the block-floor system, (b) the maximum kinetic energy of the block, and (c) the original compression distance of the spring? DURRES No friction
- A large block with a mass of 8.5 kg slides along a horizontal surface without friction. The block runs into ahorizontal spring with a spring constant of 260 N/m and compresses the spring by 50 cm before coming to astop.(a) How fast is the block moving when it just hit the spring?(b) What is the potential energy of the spring, the kinetic energy of the block, and the total mechanicalenergy of the system when the block is halfway to its stopping position?In the figure, a spring with spring constant k = 180 N/m is at the top of a frictionless incline of angle e = 38°. The lower end of the incline is distance D = 0.92 m from the end of the spring, which is at its relaxed length. A 1.5 kg canister is pushed against the spring until the spring is compressed 0.22 m and released from rest. (a) What is the speed of the canister at the instant the spring returns to its relaxed length (which is when the canister loses contact with the spring)? (b) What is the speed of the canister when it reaches the lower end of the incline? (a) Number UnitšTm/s (b) Number Unitsm/s Click if you would like to Show Work for this question: Open Show Work Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER 10:37 PM ENG e to search 4/4/2021 13) 19home & 7. LEGO 08. 9. E R. YA spring with constant k=200 N/m is fixed to the top of an incline that makes an angle of 40.0 degrees with the horizontal. A projectile with mass 1.10 kg is projected up the plane, form an initial horizontal position that is d from the end of the uncompessed spring. a) If the incline is frictionless and the initial kinetic energy of the projectile is 17.0 J, how much will the spring be compressed? b) If there is a coefficient of friction of 0.200 and the spring must compress by 1.50 cm at the moment when the projectile stops (say, to trigger an event like a switch) then what must the initial speed of the projectile be? All other conditions are same as in the setup.
- A box of mass 2.0 kg, traveling horizontally, hits an uncompressed spring with an initial velocity, Vo, and compresses the spring to a maximum distance of 0.05 meters (at the maximum distance the box stops). The value of the spring force constant is k= 50 N/m. There is no friction in the system. Use the work-energy theorem (chapter 6) to find the initial velocity, Vo, of the box.A 3.6 g marble is fired vertically upward using a spring gun. The spring must be compressed 2.9 cm if the marble is to just reach a target 18 m above the marble's position on the compressed spring. (a) What is the change AU in the gravitational potential energy of the marble-Earth system during the 18 m ascent? (b) What is the change AU in the elastic potential energy of the spring during its launch of the marble? (c) What is the spring constant of the spring? (a) Number (b) Number ogres (c) Number Units Units UnitsIn the figure below the block has m = 3.0 kg and the spring has k = 350 N/m. If the block, initially at rest, is released from a height of 0.8 m, what is the maximum compression of the spring? Ignore friction.
- Question 7 m 0Q000 -Xo +Xo A block of mass m is on a rough horizontal surface and is attached to a spring with spring constant k. The coefficient of kinetic friction between the surface and the block is u. When the block is at position a = 0, the spring is at its unstretched length. The block is pulled to position I = +x0, as shown above, and released from rest. The block then travels to the left and passes through a = 0 before coming momentarily to rest at position a = Which of the following is a correct expression for the kinetic energy of the block as it first travels through position a=0? ka umgroA 2.0 kg block is pressed up against a spring (k = 44 N/m) that is attached to a wall as shown. The block is held so that there is 1.2 J stored in the spring and then the block is released from rest. If there is no friction, what is the speed of the block when the energy stored in the spring is 0.0 J?A 2.0 kg object is acted upon by a spring force characterized by the function F=-6x, (this means k = -6N/m). The speed of the object at x=3.0 m is 8.0 m/s. Determine the positive value for x where the speed of the object will be 4.9 m/s. Hint: The work done between values of x will be 1/2kx22-1/2kx12. Set this equal to the change in kinetic energy associated with the change in speed.