A mass of 4 kg on a horizontal surface has an initial velocity of 5 m/s when it hits a spring. The spring compresses by 0.2 m when the mass has a velocity of 0.7m/s What is the spring constant, k, of the spring
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A mass of 4 kg on a horizontal surface has an initial velocity of 5 m/s when it hits a spring. The spring compresses by 0.2 m when the mass has a velocity of 0.7m/s What is the spring constant, k, of the spring?
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- As shown in the figure below, a box of mass m = 9.80 kg is sliding across a horizontal frictionless surface with an initial speed vi = 3.70 m/s when it encounters a spring of constant k = 2250 N/m. The box comes momentarily to rest after compressing the spring some amount xc. Determine the final compression xc (in m) of the spring.A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits a spring with stiffness k at the end of the track causing the spring to compress. What is the maximum compression x of the spring?A 0.19 kg mass is held at rest against a compressed spring with a spring constant of 103 N/m. When released, the mass leaves the spring with a speed of 6.28 m/s. Assuming that the spring force is wholly responsible for changing the motion of the mass, by what distance was the spring initially compressed from its equilibrium position? Enter a number with 3 decimal places
- Problem #1: The massless spring of a spring gun has a force constant =10N/cm. When the gun is aimed vertically, a 12-g projectile is shot to a height of 5.0 m above the end of the expanded spring. (See below.) a. What distance, d, was the spring compressed initially? b. What speed does the ball have when it is a height of 2.0m above the equilibrium position of the spring? 5.0 m d NNNNNNNN CNNNNNNNA spring with k= 360 N/m is compressed x = 11cm by a 1.85 kg block on a horizontal table with coefficient of friction of 0.38. This means there is friction everywhere on the table! A. What is the speed of the block when it is released? B. Determine the distance the block travels before it comes to rest.SMH7
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- A 90-gram mass is placed on a vertically oriented spring that then is stretched 0.5 meters below its equilibrium position and released. If the spring constant is 200 N/m, how fast will the mass be moving when it reaches the equilibrium position? Hint: You cannot ignore the change in gravitational potential energy in this problem. Please give your answer in units of m/s, however, do not explicitly include units when typing your answer into the answer box. Including actual units will result in your answer being incorrectly scored.3. A 400 kg trailer with a spring attached to it is travelling at a speed of 20 m/s. The trailer collides with a 200 kg cart going 40 m/s in a head-on collision. If the spring constant is 850 N/m, calculate the maximum compression of the spring.A block of mass 1.7 kg is attached to a horizontal spring that has a force constant 800 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest. x x=0 (a) A constant friction force of 3.7 N retards the block's motion from the moment it is released. How much is the spring compressed when the speed of the block is a maximum. 0.463 cm (b) What is the maximum speed? Your response differs from the correct answer by more than 10%. Double check your calculations. cm/s