Pollowing statements is true concerning the motion of the block? O Its acceleration is greatest when the mass has reached its maximum displacement. O Its acceleration is greatest when the spring returns to the 5.0 cm position. O Its acceleration is constant. O Its velocity is greatest when the mass has reached its maximum displacement.
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- A 2.60-kg block is attached to a horizontal spring that has a spring constant of 366 N/m. At the instant when the displacement of the spring from its unstrained length is -0.115 m, what is the acceleration a of the object?O.8-kg bob o ngth L=11m!The bob is set into by e(t) = 0,11os(wt), where st2, determinhe the mechanloal pendulum. O 0.085 U O © 090 JImme One end of a spring is attached to a wall and the other end is attached to a block of mass 4.34 kg. The spring has a spring constant of 73.3 N/m. The entire assembly rests on a frictionless surface. If the spring/block assembly is compressed (block is pushed to the left) by 32.9 cm, what is the acceleration of the block at the instant it is released after the compression? (In this case, you may neglect the mass of the spring itself.) Report your answer in m/s².
- 1.7A mass-spring system is set up so that the mass oscillates in the horizontal. The mass is 0.83_kg, and the spring has constant 44 N/m. The mass is pulled back so that the spring stretches 0.78_m, and then the mass is released. Find the speed of the mass when it is located at 0.39_m. (Assume there is no friction between the mass and the tabletop.) O 4.559_m/s O 4.918_m/s 4.181_m/s O 4.722_m/s 4.026_m/s 4.382_m/sThe system composed of two springs and a particle with mass ? shown in the figure can beconsidered as a system with a single equivalent spring. Suppose you move the particle and stretchboth springs (since the force constants are not the same, it cannot be assumed that both springs arestretch the same, you must find a relationship between how much each spring stretches and the displacement of the spring.particle). Determine an expression for the equivalent spring constant in terms of the constantsof each spring.
- 5) The device pictured in the figure entertains infants while keeping them from wandering. The child bounces in a harness, with a spring constant k, and is suspended off of the ground. a) If the spring stretches x1 = 0.265 m from equilibrium while supporting an 8.05-kg child, what is its spring constant, in newtons per meter? b) What is the time, in seconds, for one complete bounce of this child about the point x1? c) What is the child’s maximum velocity, in meters per second, if the amplitude of her bounce, relative to x1, is 0.185 m?A 0.250 kg air-track glider is attached to each end of the track by two coil springs. It takes a horizontal force of 0.500 N to displace the glider to a new equilibrium position, x= 0.070 m. voooo 0 +X Find the effective spring constant of the system. The giider is now released from rest at x= 0.070 m. Find the maximum x-acceleration of the glider. Find the x-coordinate of the glider at time t= 0.350T, where T is the period of the oscillation. Find the kinetic energy of the glider at x=0.00 m. 1.75x10-² J You are correct. Your receipt no. is 157-1051 Previous Tries3. One end of a massless spring is attached to a wall & another end is attached to a block of mass m = 20 g (as shown in Fig. 2). When the block is stretched horizontally to a distance 5 cm from its rest position, the force acting on the block is 10 N. %3D wwww m Fig. 2 (a) 6 Calculate the spring constant. (b) Now consider one end of the same spring system is attached to the ceiling. Take the hanging end point of the spring as reference to the gravitational potential. When the block is attached to the hanging end point of the spring, it extends a distance d. Calculate the value of d. Also calculate the block's total potential energy at this position. (c) Calculate the time period & angular frequency for both the vertical and the horizontal oscillations.
- (b) Neglecting all resistive forces, determine the spring constant. N/m (c) Neglecting all resistive forces, find the speed of the projectile as it moves through the equilibrium position of the spring (where x = 0), as shown in Figure (b). m/sCan you solve it plzFish are hung on a spring scale to determine their mass (most fishermen feel no obligation to report the mass truthfully). (a) What is the force constant (in N/m) of the spring in such a scale if it stretches 8.40 cm for a 14.0 kg load? | N/m (b) What is the mass (in kg) of a fish that stretches the spring 5.50 cm? |kg (c) How far apart (in mm) are the half-kilogram marks on the scale? mm