A 2.2 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 6.3 cm before coming to rest. N/m (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.6 cm. m/s
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- A 5.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 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 A 70.0 kg skier with an initial speed of 10.0 m/s coasts up a 2.50 m high rise as shown in the following figure. Find her final speed at the top (in m/s), given that the coefficient of friction between her skis and the snow is 0.0800. (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.) m/sA 3.0 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 4.7 cm before coming to rest. N/m (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.5 cm. m/s Additional Materials O ReadingA 1.30 kg block slides on a frictionless horizontal surface until it encounters a spring with a force constant of 520 N/m. The block comes to rest after compressing the spring by the distance of 2.50 cm.What was the initial speed of the block ? O 0.25 m/s 5.0 m/s O 31.6 m/s O 0.50 m/s
- A ball of mass m is launched straight upward from a spring of constant k compressed by a distance x. Neglecting viscosity and drag, what is the maximum height reached by the ball? Answer choices: A. kx/mg B. mgx C. ½ k x^2 /mg D. mgx/kgA 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 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/mThe magnitude of the force required to compress an imperfect horizontal spring a distance x is given by Fbs = kx +bx^3 where k=120N/m and b=18N/m^3. If you use a 7.5kg block to compress the spring a distance of 1.6m and then let it go, what speed will the block have when it leaves the spring? Assume the surfaces are smooth enough that any frictional forces can be neglected.
- An ideal spring can compress 2.33 cm by a force of 1290 N, a block of mass m = 3.18 kg is released from rest on an inclined plane, the inclination of the plane is 32 degrees, the block rest momentarly when the spring is compress 5.48 cm. Find the speed of the block when reaches the spring. (g = 10 m/s2 ).You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1100 kg car moving at 0.60 m/s is to compress the spring no more than 7.3×10−2 m before stopping. What should be the force constant of the spring? Assume that the spring has negligible mass5) A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, %3D compressing it 0.22 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with a slope of 36.9°. a) What is the speed of the block as it slides along the horizontal surface after having left the spring? 2.00 kg k = 400 N/m wwww b) How far does the block travel up 36.9 ° the incline before starting to slide block?