You are working on a design for a runaway truck ramp as indicated in the figure below. The hill is covered in gravel so that the truck's wheels will slide up the hill instead of rolling up the hill. The coefficient of kinetic friction between the tires and the gravel is µz. This design has a spring at the top of the ramp that will help to stop the trucks. This spring is located at height h. The spring will compress until the truck stops, and then a latch will keep the spring from decompressing (stretching back out). The spring can compress a maximum distance xmax because of the latching mechanism. Your job is to determine how strong the spring must be. In other words, you need to find the spring constant so that a truck of mass m, moving at an initial speed of |vol, will be stopped. a. Draw energy bar diagrams for whatever system you are using both at the initial time and the final time (when the spring is completely compressed).

Below is a conservation of energy problem. The solution to this problem is provided. Assess whether the solution provided is correct or incorrect AND EXPLAIN WHY. = 4.6 kg block is at rest against a horizontal spring that is compressed by 0.40 m. The spring has a spring constant of k₁ 2750 N/m. After leaving the spring, it travels up a 28° incline to a height of 2.8 m. At the top of the hill is a second spring with a spring constant of k₂ = 350 N/m. The horizontal portions are frictionless, but the hill has a coefficient of kinetic friction equal to uk = 0.16. The final velocity of the block is 9.78 m/s. How much is the second spring compressed by when the block comes to a stop against it? Simplifies to X₁ = 0.40 m h₁ = 0 m Vi = 0 m/s xf Wnc = 0 J 2 Wnc + mgh₁ +1/2 kx₁² +½ mv² = mgh₁+½ kxf² +½ mvf2 = k₁ = 2750 N/m k₂= 350 N/m m = 4.6 kg 2 ½ k₁x₁² = mghf + ½ K₂Xf2 2 ½ k₁x;² — mghƒ _½ k₂xf² Xf= 2750 N/m 350 N/m (0.4 m)2 x k 2 2gh -X f= X₁ = ? m h₁ = 2.8 m Vi = 0 m/s 0.141 m 2(9.8…

k AX A 0.40 kg block is pushed against a spring (k = 7.0 N/m) thereby compressing it by 25.0 cm, as shown in the figure above. After it is released the block travels a total distance of 23.3 cm before coming to rest. What is the coefficient of kinetic friction for the horizontal surface?

▼ Part A A 56 g ice cube can slide without friction up and down a 30° slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10 cm. The spring constant is 22 N/m. When the ice cube is released, what total distance will it travel up the slope before reversing direction? Express your answer with the appropriate units. As= Submit Part B Value As= Request Answer Submit The ice cube is replaced by a 56 g plastic cube whose coefficient of kinetic friction is 0.20. How far will the plastic cube travel up the slope? Express your answer with the appropriate units. Value Request Answer C < Return to Assignment Units Units ? Provide Feedback HH Q Search Review 140 6:11 PM 12/17/2023 M O

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). 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?

A block of mass m=1.2 kg is attached to a horizontal spring of force constant k=75 N/m. The block is pushed, and spring is compressed, to the position 10.0 cm to the left of the equilibrium position; then, block is released. A. Neglect friction. Find the speed of the block as it passes through the equilibrium position. B. If the friction is significant and µ = 0.22, what is the speed of the block as it passes through the equilibrium position? Please show the detailed solution, Thank you

Find the maximum height of y4. I keep getting 0.324. but it keeps saying it is incorrect

A spring is attached to an inclined plane as shown in the figure. A block of mass m is placed on the incline, a distance d along the incline from the end of the spring. The block is given a quick tap, giving it an initial speed v, and it slides freely down the incline until it hits the spring. The incline angle is θ, the spring constant is k, and we can assume the surface is frictionless. By what distance is the spring compressed when the block momentarily comes to rest? (Use any variable or symbol stated above along with the following as necessary: g.)

A 500-g block is released from rest and slides down a frictionless track that begins 1.00 m above the horizontal, as shown in the figure below. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring constant of 35.0 N/m. Find the maximum distance the spring is compressed. m