College Physics
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A spring of negligible mass stretches 3.46 cm from its relaxed length when a force of 5.4 N is applied. A 0.8 kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x=5. cm and released from rest at t=0.
(f) Determine the displacement x of the particle from the equilibrium position at t=0.50 s(g1) Determine the velocity of the particle when t=0.50 (g2) Determine the acceleration of the particle when t=0.50 s
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- (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/sarrow_forwardA mass of 0.43 kg is is initially traveling at across a horizontal surface. It then reaches a spring with a fixed end having a spring constant of 138 N/m that is positioned horizontally and initially at equilibrium. If the initial speed of the mass is 3.81 as it contacts the spring, what is the speed of the mass after compressing the by 0.153 m if the coefficient of kinetic friction is between the surfaces is 0.47 ?arrow_forwardA block of mass m2 = 7.5 kg, at rest on a horizontal surface that has negligible friction, is connected to a spring which is initially not stretched or compressed. The other end of the spring is fixed to a wall, and the spring constant is k = 180 N/m. Another block of mass m1 = 4.5 kg and speed v1=3.3 m/s collides with the 7.5 kg block. The blocks stick together, and compress the spring. What is the maximum compression of the spring?arrow_forward
- A bullet with mass 4.95 g is fired horizontally into a 1.972-kg block attached to a horizontal spring. The spring has a constant 5.71 x 102 N/m and reaches a maximum compression of 6.44 cm. (a) Find the initial speed of the bullet-block system. m/s (b) Find the speed of the bullet. m/sarrow_forwardA mass of 0.69 kg is is initially traveling at 6.19 m/s across a horizontal, frictionless surface. It then reaches a spring with a fixed end having a spring constant of 334 N/m that is positioned horizontally and initially at equilibrium. The incoming mass will then contact the spring, compressing it as it comes to rest. What is the speed of the mass upon the spring being compressed by 0.173 m from its equilibrium position?arrow_forwardOne way to measure the speed of a bullet is to fire it into a block of wood attached to a spring. The bullet hits the block and remains lodged in it. The spring is compressed after the collision. If the mass of the bullet is 8.0×10−38.0×10−3 kg, and the mass of the block is 4.0 kg, and the spring constant is 2400 N/m, then what is the initial speed of the bullet if the maximum compression of the spring is 0.087 m? Give your answer in m/s.arrow_forward
- A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. It takes 3.1 J of work to compress the spring by 0.15 m . If the spring is compressed, and the mass is released from rest, it experiences a maximum acceleration of 12 m/s2. Find the value of the spring constant. Find the value of the mass.arrow_forwardNeed solution ANSWER: (a) 3.33 m/s (b) 389.40 m/sarrow_forwardA 1.2 kg block is attached to one end of a horizontal spring of spring constant 500 N/m (the other end is fixed). The block is pulled back 30 cm and released from rest. What is the velocity at 1.5 seconds?arrow_forward
- a 195 g object is attached to a spring that has a force constant of 73.5 N/m. the object is pulled 9.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. what is the maximum speed 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.arrow_forwardA block of mass ?=3.70 kgm=3.70 kg slides along a horizontal table with velocity ?0=4.00 m/sv0=4.00 m/s. At ?=0x=0, it hits a spring with spring constant ?=43.00 N/mk=43.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.400μ=0.400. How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.arrow_forwardA spring with a spring constant 247 N/m is initially compressed by a distance of 0.044 m from its equilibrium position. A mass of 0.059 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.arrow_forward
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