m, and m2 are connected to each other. As the system travels with 10 m/s velocity, force F begins to be applied as seen in the below figure. Since, F = 2 N, m1 = 10g, m2 = 10g, how much is m, displaced 5 seconds after the force is applied? (Assume that the surfaces and joints are frictionless, the paths are long enough, g = 9.8 m/s2.) m2 a) 1500 m b) 2500 m c) 1250 m d) 1300 m e) 50 m
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- A 1.72 kg box falls from a height of 2.19 m onto a large capacity spring scale with a spring constant of 1.75 × 105. N compression, the reading on the scale is m O 1720 N. O 37.0 N. O 7180 N. O 3590 N. O 12.8 N. At its greatestA bumper, consisting of a nest of three springs, is used to arrest the horizontal motion of a large mass which is traveling at 62 ft/sec as it contacts the bumper. The two outer springs cause a deceleration proportional to the spring deformation. The center spring increases the deceleration rate when the compression exceeds 8 in. as shown on the graph. Determine the maximum compression x of the outer springs. Deceleration ft/sec 6000 4000 2000 x, in. 16 8 62 ft/sec Answer:x = i ! in.A very light spring with spring constant K = 500 N/m is hung (ea) by a fixed ceiling. Two forces F, = F2 = 20 N act at the lower end of the spring as shown in the figure below. The extension (increase in length) of the spring due to 6. %3D of Finis these two forces is: A. 0.082 m B. 0.012 m K C. 0.021 m D. 0.056 m E. Zero 450 1450 F2 F1
- You are playing a game and you push a cart to give it in. speed. The cart starts at the bottom (zero) of a ramp and after reaching the top of the ramp, the cart travels across a horizontal track w/ friction. The mass of the cart is 44 x 10^-3 kg. The ramp is 56 cm high. The length is 70 cm. What can you infer of the intial speed in (m/s)1. A block of mass 5 pounds is placed at the end of a spring, of elastic constant 900 N/m, compressed 1 foot. When the spring is released, the block moves along a horizontal plane and after traveling a distance of 40 inches, it rises along a plane inclined at 30º with the horizontal. There is only friction in the 40-inch section traveled horizontally, the coefficient of friction is 0.1. a. Calculate the distance traveled by the block on the inclined plane if the coefficient of friction between the body and the horizontal plane is 0.1 (there is no friction on the inclined section, nor in the 20 cm). b. State when the kinetic energy will be maximum.As shown in the figure below, m1=2 kg moves with velocity of 5 m/s on a frictionless surface, and collides and sticks with a stationary mass, m2=2.5 kg which is connected to a spring k= 1500 N/m. How far the spring will be compressed (in m). m, Before collision m2 mass-spring system- At maxim um v=0 m. MAM compression m,
- Jum The mass of the block depicted in the image is 1.60 kg. The spring has a spring constant of 76.9 N/m. The coefficient of static friction between the block and the floor is 0.726. Assume that the spring makes no contact with the floor and therefore friction only acts on the block. How far must the block and spring assembly be compressed to just barely overcome the force of static friction acting on the block? Report your result in meters.6. Consider a spring-mass system given by mu" + yu' + ku=0. a. Suppose y2>4mk and the initial conditions are u(0) = 5, u'(0) = a HUGE negative number. How many time(s) will the mass pass through the equilibrium position? JUST GIVE ME A NUMBER AS YOUR ANSWER. Infinity is considered a number. b. Same as above with y² = 4mk and u(0) = 2, u'(0) = a HUGE positive number. Infinity is considered a number. C. Suppose <4mk and the initial conditions are u(0) = -.0001, u'(0) = 0. How many time(s) will the mass pass through the equilibrium position? JUST GIVE ME A NUMBER AS YOUR ANSWER. Infinity is considered a number. d If y = 2 what is the limit of u(t) as too? JUST GIVE ME A NUMBER AS YOUR ANSWER. Infinity is considered a number.4. Suppose a block of mass m slides over a surface with kinetic friction coef- ficient towards a spring with spring constant k. The block reaches the spring with spring with speed vo. (a) How far is the spring compressed at maximum compression? Give your answer in terms of m, k, lk, and vo. (b) What is an expression for the maximum value that v。 could be in order for the spring to remain maximally compressed, no matter what material the block and surface are? Give your answer in terms of m, k, pk. Hint: the coefficient of static friction is always greater than the coefficient of kinetic friction.
- A pendulum with a massless string of length L has attached at its end a particle of mass 65.00 kg. When it is released from point A it moves as shown below. Determine (a) the speed of the particle at any angle 0. (b) How much is the particle's speed at points B and C? L T. B mg 1 365. A 60 kg circus performer is swinging from a trapeze bar.A: She is 10 m off the ground with a speed v1. The spring-board platform below her is atits equilibrium length.B: She lets go of the trapeze bar and lands on th spring-board platform, which compresseswhen she lands on it. When she is stationary, she is 2 m off the ground and the springis maximally compressed.C: The spring-board extends and launches her back into the air. As soon as the spring istotally relaxed again, the performer is 3 m off the ground and has a speed v2.D: The performer lands on a platform 10 m above the floor, and she stands stationary. a. Her initial speed v1 = 10 m/s. What is her total energy at point A? b. Between points A and B, assume none of her energy is lost to heat or friction. Whenshe is stationary on the compressed platform at B, how much energy is stored in thespring-board platform? c. When the spring-board platform is fully released at point C, what must her speed v2 be?A scale stretches 7 cm for a 7 kg load. How far apart are the 0.5 kg marks on it to the nearest mm?