The barricade at the end of a subway line has a large spring designed to compress 2.00 m when stopping a 1.10 ? 105 kg train moving at 0.500 m/s.
(a) What is the force constant of the spring?
N/m
(b) What speed would the train be going if it only compressed the
spring 0.500 m?
m/s
(c) What force does the spring exert when compressed 0.500 m?
N (in the direction opposite to the train's motion)
The barricade at the end of a subway line has a large spring designed to compress...
A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.700 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)?
A 3×105-kg subway train is brought to a stop from a speed of 0.531 m/s in 0.522 m by a large spring bumper at the end of its track. What is the force constant k of the spring?
2. A helical compression spring is to be designed as shown in Fig Q2. The spring is required to exert a force of Po-102 N when compressed to a length of lo=44 mm. When its length is 1=76 mm, it must exert a force of P=22 N. The spring will be cycled rapidly, with severe service required. Use ASTM A401 steel wire. The factor of safety, η, need to be larger than 1.5. Starting with a spring index of 9,...
A 2.00 kg frictionless block is attached to an ideal spring with force constant 350 N/m . Initially the spring is neither stretched nor compressed, but the block is moving in the negative direction at 12.0 m/s . A. Find the amplitude of the motion. A = ____ m B. Find the maximum acceleration of the block. |amax| = ______ m/s2 C. Find the maximum force the spring exerts on the block. |Fmax| = ______ N
2. A helical compression spring is to be designed as shown in Fig Q2. The spring is required to exert a force of Po-102 N when compressed to a length of lo-44 mm. When its length is I-76 mm, it must exert a force of P-22 N. The spring will be cycled rapidly, with severe service required. Use ASTM A401 steel wire. The factor of safety, η, need to be larger than 1.5. Starting with a spring index of 9,...
2. A helical compression spring is to be designed as shown in Fig Q2. The spring is required to exert a force of Po-102 N when compressed to a length of lo-44 mm. When its length is I-76 mm, it must exert a force of P-22 N. The spring will be cycled rapidly, with severe service required. Use ASTM A401 steel wire. The factor of safety, η, need to be larger than 1.5. Starting with a spring index of 9,...
A large fish hangs from the roof of an elevator via a spring of spring constant ? = 600 N/m and unstretched length ?0 = 0.500 m. The elevator is initially moving downwards at a constant 2.45 m/s, but then slows to a stop in 1.20 s. If the spring has a length of 0.600 m while slowing down, what is the mass of the fish?
3./ A 1.2 kg block sliding at 6.0 m/s on a frictionless surface runs into and sticks to a spring. The spring is compressed 0.10 m before stopping the block and starting its motion back in the opposite direction. a. Calculate the energy of vibration. b. Calculate the force constant of the spring. c. Calculate the period of vibration of the system. d. Write the equation of motion of the block when its oscillating.
A spring gun is made by compressing a spring in a tube and then latching the spring at the compressed position. A 4.97-g pellet is placed against the compressed and latched spring. The spring latches at a compression of 4.07 cm, and it takes a force of 9.12 N to compress the spring to that point. (a) If the gun is fired vertically, how fast is the pellet moving when it loses contact with the spring? (Include the effect of...
A 300 g block is dropped onto a
relaxed vertical spring that has a spring constant of k = 2.1 N/cm.
The block becomes attached to the spring and compresses the spring
12 cm before momentarily stopping.
(a) While the spring is being compressed, what work is done on the
block by the gravitational force on it?
J
(b) What work is done on the block by the spring force while the
spring is being compressed?
J
(c) What is...