Feeling crafty/lazy, Dr. L. (mass M) wants to get up the hill without any running involved. He compresses a spring (stiffness K) some distance ∆x to start and then lets it go and launches himself towards a test ramp. At present the ground is frictionless. He is seen to have a velocity of vA at point A and continues up the hill till he stops at point B. 1) As he goes back the spring is compressed to ½ of the initial compression distance. How long (L) is the sandpaper on the floor? Answer in terms of k, M, g, μK, and ∆x only. 2) What minimum length would the sandpaper need to be in order for Dr. L. to come to a complete stop just as he reaches the end of it? Answer only in terms of vA, g, and μK

Feeling crafty/lazy, Dr. L. (mass M) wants to get up the hill without any running involved. He compresses a spring (stiffness K) some distance ∆x to start and then lets it go and launches himself towards a test ramp. At present the ground is frictionless. He is seen to have a velocity of vA at point A and continues up the hill till he stops at point B. 1) As he goes back the spring is compressed to ½ of the initial compression distance. How long (L) is the sandpaper on the floor? Answer in terms of k, M, g, μK, and ∆x only. 2) What minimum length would the sandpaper need to be in order for Dr. L. to come to a complete stop just as he reaches the end of it? Answer only in terms of vA, g, and μK

Similar questions

A 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/kg
A 205 g object is attached to a spring that has a force constant of 74.5 N/m. The object is pulled 6.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed Umax of the object. Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative. position: Umax = cm position: m/s cm
5) 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?
A block of mass m 2.00 kg slides along a horizontal table with speed vo 9.50 m/s. At x = 0 it hits a spring with spring constant k95.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by u 0.100. How far has the spring compressed by the time the block first momentarily comes to rest? wwwww.wl Number 9.50 m/s m Ar ?