(a) Calculate the height of the hill using m=230.0 g and VB = 3.8 m/s (b) What is the coefficient of kinetic friction along the horizontal surface if d=14 m?
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- a carriage hits a safety stop at a speed Vo = 3.25 m/s and is completely immobilized by Cinear springs which dece ler ahon expressed -k, x - k2 repres ents compression of the springs starhing from the posihion, and k,. and k, positive cons tanks , Pf the block non of a has cause d by a 3 k, x°, where x the magnitude of the Sprir unde formed kz are maximum com pression of and the the springs speed at the midpoint of is H75`mm deformahion is 2.85 m/s coilculate the constants k, anod le, and ba by spe cifying Hheir units.A miniature hill in a child’s toy collection is shown below. When released at A, a mass m slides down the path shown below, reaching the bottom (B) with a speed of vB. Assume that the hill has negligible friction. The block then slides along the rough horizontal surface a distance d before coming to rest at C. When solving parts (a) and (b): Write the useful description about what is known and unknown. Write down the physics principle or strategy you will use. Symbolically solve for the unknowns (a) Calculate the height of the hill using m=230.0 g and vB = 3.8 m/s (b) What is the coefficient of kinetic friction along the horizontal surface if d=14 m? Hint: Treat the motion down the hill and the motion down the rough horizontal surface as two distinct problems. What physics concepts can you apply for each?The relationship between work done by a force resultant and change in particle kinetic energy can be derived from Newton's second law expression Fr = where ma, by dotting both sides of the equation by v. V, is the velocity of the particle or body mass-center. O True O False
- Keep the track tilted at 9° with the horizontal, at let the cart roll downwards. The length of the track is 71 cm. Starting from zero speed at the top of the track, what will be the speed of the cart as it reaches the bottom? Write your answer in m/s, and ignore friction. Mass of the cart 250 grams.Given force, mass, kinetic friction coefficient, and displacement, how will you find the change in KE? Let's say the force is 5 newtons, 3 kg mass, kf = 0.40, displacement is 8 meters.You decide to launch a rockof mass m1 using a tube containing a spring of spring constant k. When the spring is at equilibrium, it fills the entire tube. To launch a rock, you push it into the tube, compressing the spring a distance d, at which point a locking mechanism holds the spring(and the rock) in place. When the lockis released, the spring pushes the rock to the end of the tube where it will be launched into the air. The coefficient of kinetic friction between the rock and the inside surface of the tube is given by μk. You setup the launcher at an angle q above the horizontal with the spring end buried such that when the spring is compressed and locked, the rock is at ground level. a)Find the work done on the rock by non-conservative forces as it moves from the point of release to the end of the tube. Express your answer in terms of μk, m1, q, d, and any necessaryconstants. b) Find the velocity of the rockvfas it exits the launch tube in terms of μk, k, m1, q, d, and any…
- We are given two mass, mand M(M>m), suspended as shown in Figure. The system is released from rest with mon the floor and Mhigher by amount h. When Mis about to strike the floor, it is found to have a speed v. Find hif vis known. Note: Please write each step of your solution with an explanation.Sam, whose mass is 74.0 kg, takes off across level snow on his jet-powered skis. The skis have a thrust of 220.0 N and a coefficient of kinetic friction wtih the snow of 0.07. Unfortunately, the skis run out of fuel after only 11.5 seconds. What Sam's top speed (in m/s) assuming that the acceleration due to gravity is 9.80 m/s2? How far (in m) has Sam traveled when he finally coasts to a stop?Keep the track tilted at 13∘∘ with the horizontal. Put the friction block on the track surface at the top of the track. Let the friction block slide downwards. The length of the track is 74 cm. Starting from zero speed at the top of the track, what will be the speed of the friction block as it reaches the bottom? Write your answer in m/s. Use μμk = 0.13 and mass of the friction block = 400 grams.
- A 2 kg block has a velocity of 2 m/s at point A when θ=0º, neglect friction and block size and find: the velocity and normal at point B if θ=30º.In the figure below we have the body A, with equal mass5kg5tog, at point P. Between point P and Q the coefficient of kinetic friction is0 , 50,5and the slope is \(30^ o\) . Between point Q and R there is no friction. The spring is at point R without any understanding and has spring constant of 100N/m100N/m. a) Determine the maximum compression that the spring will undergo. b) After colliding with the spring, the body returns, climbing the branch again. How tall will the body reach?Computation. A small block slides without friction up and over the icy hill shown in the figure below. The block leaves the end of the cliff with only a horizontal velocity and lands a distance d = 10.68 m from the foot of the cliff with no air resistance. Find the block's initial speed vo if D = 15.6 m and h = 3.86 m. (The block's mass is not needed.) [Hint: Start by solving the projectile motion problem to find v. Then apply conservation of energy from the bottom to the top of the hill to find vo.] m vo Vo -D- m/s - Cliff m h 5 U d ☆ 2:57 PM