A block of mass m = 3.80 kg slides along a horizontal table with velocity vo = 3.00 m/s. At x = 0, it hits a spring with spring constant k = 33.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by µ = 0.250. How far has the spring compressed by the time Ax the block first momentarily comes to rest? Assume the positive direction is to the right. Ax = m
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- Problem 5: A block of mass m = 4.5 kg is attached to a spring with spring constant k = 810 N/m. It is initially at rest on an inclined plane that is at an angle of e = 28° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is uz = 0.19. In the initial position, where the spring is compressed by a distance of d= 0.18 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero. M ©theexpertta.com Part (a) What is the block's initial mechanical energy, E, in J? Eo = sin() cos() tan() HOME E AL 4 * 1 cotan() asin() acos() 5 6 atan() acotan() sinh() cosh() tanh() cotanh() + END ODegrees O Radians Vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) If the spring pushes the block up the incline, what distance, L in meters, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout…O B 2.294 2.253 2.335 Disk As illustrated, A flat disk with a mass of 1.387 kg slides on a horizontal frictionless surface. The initial velocity of the disk is VA = 2.673 m/s. The disk is attached to a fixed origin (Point O) by an elastic cord with a stiffness of k = 8.112 N/m. In its initial position (Point A), the length of the cord is r₁= 4.309 m. When the disk is located at Point B, the cord is unstretched with a length of r₂ = 2.314 m. When the disk is located at Point B, the component of velocity directed towards the origin at Point O (in m/s) is: 2.376 Elastic Cord r₁ DiskA factory worker drops a 10 kg steel block from rest. The block falls 30 cm onto a vertical spring standing on the floor. The spring constant of the spring is 400 N/m. Once the block has made contact with the spring, it continues to move downward, compressing the spring until it comes to rest. (The spring then decompresses, firing the block upward.) Determine the distance that the spring was compressed by the block. Assume two significant digits in given data.
- Imm A V3 smooth Brough C -S V4 A 5-kg block is held in place against the spring by a 67-N horizontal external force. The external force is removed, and the block is projected with a velocity v₁ = 2.3 m/s upon separation from the spring. The block descends a ramp and has a velocity v₂ = 3.5 m/s at the bottom. The track is frictionless between points A and B. The block enters a rough section at B, extending to E. The coefficient of kinetic friction is 0.39. The velocity of the block is v3 = 1.8 m/s at C. The block moves on to D, where it stops. What is the spring constant of the spring? Express your answer in N/m, to at least one digit after the decimal point. plz help and use g = 9.8Chapter 15, Problem 025 GO In the figure, a block weighing 16.1 N, which can slide without friction on an incline at angle e = 50.0°, is connected to the top of the incline by a massless spring of unstretched length 0.550 m and spring constant 140 N/m. The block is initially at its equilibrium position. (a) How far from the top of the incline is the block's equilibrium point? (b) If the block is pulled slightly down the incline and released, what is the period of the resulting oscillations? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show WorkA box of mass m = 0.31 kg is set against a spring with a spring constant of k1 = 549 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2 = 444 N/m. a.) How far d2, in meters, will the second spring compress when the box runs into it? b.) How fast v, in meters per second, will the box be moving when it strikes the second spring? c.) Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is μk = 0.5. If the distance between the springs is x = 1 m, how far d2, in meters, will the second spring now compress?
- O Macmillan Learning A block of mass m = 2.15 kg slides along a horizontal table with speed vo= 1.00 m/s. At x = 0, it hits a spring with spring constant k = 73.00 N/m, and it also begins to experience a friction force. The coefficient of friction is given by μ = 0.100. How far has the spring compressed by the time the block first momentarily comes to rest? Ax = m wwwwwwwww AxUse the approximation that avg/m for each time step. A spring with a relaxed length of 25 cm and a stiffness of 11 N/m stands vertically on a table. A block of mass 73 g is attached to the top of the spring. You pull the block upward, stretching the spring until its length is now 31.3 cm, hold the block at rest for a moment, and then release it. Using a time step of 0.1 s, predict the position and momentum of the block at a time 0.2 s after you release the block. (Assume the + y direction is upward. Express your answers in vector form.) Part 1 (a) ✈ =m Attempts: 0 of 4 used Submit Answer > kg-m/s Attempts: 0 of 4 used Submit AnswerA box of mass 10.2 kg is slid along the floor. The initial speed of the box is 2.5 m/s and it comes to rest after 8.1 m. What was the magnitude of the force of friction acting on the box during this motion? You must enter you answer and include the SI units. (For example: 3.0kg)
- Choose the correct answer choice. Answer must be in scientific notation with SI units that do not have prefixes except for kg. (m/s NOT cm/s). Answer must be in standard scientific notationA spring with a spring constant of k = 192 N/m is initially compressed by a block a distance d = 0.23 m. The block is on a horizontal surface with coefficient of kinetic friction μk, static friction μs, and has a mass of m = 7 kg. How large would the coefficient of static friction μs need to be to keep the block from moving? Recall that to keep the block from moving, the acceleration is zero. Assuming the block has just begun to move and the coefficient of kinetic friction is μk = 0.2, what is the block's acceleration in meters per square second?The final set of this lab has you hanging an unknown mass on a spring (for which you have determined the spring constant, k). If you find the spring constant k = 24.0 N/m, what is the mass of an unknown object if it displaces the spring 4.40 cm? Give your answer in GRAMS to 3 significant figures