The force law for a non-linear spring is F(x) = -60x1.15 N. Find the average force exerted by the spring as it is compressed 30 cm from its resting length.
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N. Find the average force exerted by the
spring as it is compressed 30 cm from its resting length."
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- A block of mass 2.60 kg is placed against a horizontal spring of constant k = 815 N/m and pushed so the spring compresses by 0.0600 m. HINT (a) What is the elastic potential energy of the block-spring system (in J)? J (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring. m/sA box slides from rest down a frictionless ramp inclined at 40.0° with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 1.50 x 10“ N/m. If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression of the spring when the box comes to rest. m point of release compression of springA 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? ____________________ N/m My answer is 37500 N/m which is marked as wrong. How can I solve this problem.
- A block of mass 2.00 kg is placed against a horizontal spring of constant k = 775 N/m and pushed so the spring compresses by 0.0800 m. (a) What is the elastic potential energy of the block-spring system (in J)? J (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring. m/sA box slides from rest down a frictionless ramp inclined at 40.0° with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 4.00 × 104 N/m. If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression of the spring when the box comes to rest. point of release compression of springA block of mass m = 3.5 kg is attached to a spring with spring constant k= 720 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 23° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.13. In the initial position, where the spring is compressed by distance of d = 0.19 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. a) 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 its motion.
- A block of mass m = 3.5 kg is attached to a spring with spring constant k = 730 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 21° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.11. In the initial position, where the spring is compressed by a distance of d = 0.12 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. If the spring pushes the block up the incline, what distance, L, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout its motionA spring is oriented vertically and compressed by a distance of 0.098. It has a spring constant of 5 100 N/m. A block with a mass 0.255 kg is placed at rest on the upper end of the sprng. When the block is released, it moves upward and leaves the spring. To what maximum height above the point of release does it rise? (Round to the nearest 2 decimals)The cable of a 1800 kg elevator snaps when the elevator is at rest on the first floor. The elevator cab is d = 3.7 m above a spring of spring constant 0.15 MN/m (M = 106). A safety device clamps the cab against guide rails so that a constant frictional force of 4.4 kN (k = 1,000) opposes the cab's motion. Determine the maximum distance the spring is compressed (the friction force still acts during this compression). Use g = 9.8 N/kg.
- 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 0.200-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with a light spring of force constant 3.70 N/m located at the end of the track. (a) What is the spring's maximum compression if the track is frictionless? (b) If the track is not frictionless, would the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)? O greater O less O equalMechanic Physics: A block of mass m = 2.00 kg is dropped from height h = 57.0 cm onto a spring of spring constant k = 1250 N/m. Find the maximum distance the spring is compressed.