A 50 -g block as in figure below is connected to a spring on a rough inclined plane that makes an angle of 30 °with the horizontal.the block is pulled down the plane a distance A =10 cm ,and is then released .the spring constant is 40 N/m and the coeffiecient of kinetic friction is 0.25.Find the speed of the block when the displacement x= -A/2 A
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- A spring with a spring constant 2.40 N/m attached to a block and the block is initially at rest with the mass of 40.0 kg. Later on, the block is pushed 5.00 m horizontally on arough floor with a constant spring force of 130 N. Spring is also stretched 5.00 m after doing work on the block. There is coefficient of friction between the block and floor, which has a value of 0.300. You are required to find the following:(a) Work done by the spring force and the applied force(b) Thermal energy in the block-floor system due to friction(c) Work done by the normal force and the gravitational force(d) The change in kinetic energy of the block(e) The final speed of the box(f) What type of friction do you see in this system?speed of the block. a)TM A woman swimming upstream is not moving with respect to the shore. Is she doing any work? If she stops swimming and merely floats, is work done on her? SUTM & UTM i. TM &UTM A 1.3 kg block is attached to the spring with spring constant k = 280 Nm?. The block is displaced 13.00 cm from equilibrium and released from rest. Calculate the average ITM * UT S UTM ITM & UT ii. UT A pendulum with a string of length, l = 2.3 m is released from point A as shown UTM UTM 5 UTM Figure 3. Determine the speed of the pendulum when reaches the SUTM UTA, UTM UTM UTM TM 23 UT point. S UTM UTM TM 50 A &UT S UTM UTM M UTM 5 Ul Figure 3 & UT 5 UIM & UTMA 1.30-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 = 2.60 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). k a m b C V = 0 e -D (a) Find the distance of compression d. You will find that you need to use the quadratic equation to find this distance. m (b) Find the speed v at the unstretched position when the object is moving to the left (Figure d). m/s (c) Find the distance D where the object comes to rest.
- A 2.3 kg mass is attached to a horizontal spring of constant k = 578 N/m and pushed so that the spring compresses by 0.064 m. If the block is now released and the surface is frictionless, calculate the block's speed after it leaves the spring.A 1.65 kg block slides with a speed of 0.885 m/s on a frictionless horizontal surface until it encounters a spring with a force constant of 751 N/m. The block comes to rest after compressing the spring 4.15 cm. Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 0 cm.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.
- Solve CA 54-kg box is being pushed a distance of 7.2 m across the floor by a force whose magnitude is 167 N. The force is parallel to the displacement of the box. The coefficient of kinetic friction is 0.20. Determine the work done on the box by each of the four forces that act on the box. Be sure to include the proper plus or minus sign for the work done by each force.The potential energy of a spring is given by U(x) = (8x²-5x-4)J if x is given in metres. What is the equilibrium length of the spring? x= number (rtol=0.05, atol=1e-08) m
- Please include explanations and work for the problems. Please write it out to make it easy to understand.A 5 kg block starts from rest at point A at the top of a 3 m long frictionless ramp angled at 40° above the horizontal. The block slides down the ramp and enters a rough horizontal surface between point B and point C with a coefficient of kinetic friction of 0.30. The block travels a distance of 1.00 m on the horizontal surface before running into a light spring with a spring constant of 900 N/m. A 40.0⁰ hitting the spring. 1.50 m B 1.00 m k = 900 N/m wwwww What is the total energy at point A? What about at point B? What is the speed of the block at point B? What is the total work done on the block as it slides across the rough horizontal surface. Using the work-energy theorem, find the speed of the block at point C right before How far will the block compress the spring before coming to rest?At which point or points is the total energy at its maximum value? At which point or points is the kinetic energy positive?