A 1.1-kg object is suspended from a vertical spring whose spring constant is 160 N/m. (a) Find the amount by which the spring is stretched from its unstrained length. (b) The object is then pulled straight down by an additional distance of 0.20 m and released from rest. Find the speed with which the object passes through its original position on the way up. (a) Number i (b) Number i Units Units
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- An object with a mass of 7.13 kg is attached to the lower end of an ideal spring and lowered gently.if the spring constant of the spring is 509N/m, then how far, in meters, did the lower end of the spring move as the object was being loweredIn a car's suspension system, each wheel is connected to a vertical spring; these springs absorb shocks when the car travels on bumpy roads. In one car, each spring has a spring constant of 4.6×104N/m.If this 1500 kg car is driven at 27 m/s through the bottom of a circular dip in the road that has a radius of 625 m, by how much do these springs compress compared to when the car is driven on a flat road?The springs of a pickup truck act like a single spring with a force constant of k = 1.15 × 105 N/m Part (a) How many centimeters will the truck be lowered by its maximum load of 920 kg? Part (b) If the pickup truck has four identical springs, what is the force constant of each, in newtons per meter? Assume the allowed compression is the same as in part (a).
- A 2.50-kg mass is attached to a vertical spring with spring constant, k=96.0 N/m and allowed to stretch to its equilibrium position. It is then pulled down an additional 10.0 cm and released. How FAST is it moving when it reaching the 5.00 cm mark (on its way back up)? Give your answer in seconds to 2 decimal places.A 1.30-kg object is held 1.15 m above a relaxed, massless vertical spring with a force constant of 300 N/m. The object is dropped onto the spring. (a) How far does the object compress the spring? m (b) Repeat part (a), but this time assume a constant air-resistance force of 0.800 N acts on the object during its motion. m (c) How far does the object compress the spring if the same experiment is performed on the Moon, where g = 1.63 m/s2 and air resistance is neglected? m 1.30 1.15 330 T 1,63 0.800 30 1.40A spring 1.50 m long with force constant 442 N/m is hung from the ceiling of an elevator, and a block of mass 13.3 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (Enter the magnitude only.) m(b) If the elevator subsequently accelerates upward at 1.56 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (Indicate the direction with the sign of your answer.) ?m(c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion? ?m
- a 2 kg weight is fasten to a spring on an inclined plane. It has a spring constant of 20 N/m. When the spring is relaxed, the mass sits at the bottom of the incline. It is compressed 0.25 m from its relaxed position, and the weight is released. It goes down the incline, to the horizontal surface and up a second, identical incline. If there were kinetic friction between the weight and the right incline, but none between the weight and the left incline, what would be the coefficient of kinetic friction μk so the maximum height reachable is the same as the starting position (i.e. d=0.25m).The springs of a pickup truck act like a single spring with a force constant of k = 1.15 × 105 N/m. Part (a) How many centimeters will the truck be lowered by its maximum load of 960 kg? Part (b) If the pickup truck has four identical springs, what is the force constant of each, in newtons per meter? Assume the allowed compression is the same as in part (a).You have a light spring which obeys Hooke's law. This spring stretches 3.04 cm vertically when a 2.90 kg object is suspended from it. Determine the following. (a) the force constant of the spring (in N/m) N/m (b) the distance (in cm) the spring stretches if you replace the 2.90 kg object with a 1.45 kg object cm (c) the amount of work (in J) an external agent must do to stretch the spring 8.10 cm from its unstretched position J
- answer part bA 1500-kg car moving at 20 m/s hits an initially uncompressed horizontal ideal spring. What is the spring constant if the maximum distance the spring compresses is 0.5 m? 2.4 x 10° N/m 3.0 x 106 N/m 2.0 x 106 N/m 1.0 x 106 N/mA 1.1 kg object is suspended from a vertical sprinkler spring cost and is 190 N/m. (A)find the amount by which the spring is stretched from its unstrained length. ( B)the object is in pulled straight down by an additional distance of 0.19 m and released from rest. Find the speed with which the object passes through its original position on the way up.