
SHORT PROBLEMS (5 POINTS EACH) 1) A spring has spring constant k 200 N/m and is...
A spring of negligible mass has force constant k = 1500 N/m. How far must the spring be compressed for an amount 3.40 J of potential energy to be stored in it? You place the spring vertically with one end on the floor. You then drop a book of mass 1.30 kg onto it from a height of 0.700 m above the top of the spring. Find the maximum distance the spring will be compressed.
Problem 2 A spring of negligible mass has force constant k = 2500 N/m. a) How far must the spring be compressed for an amount 5.0 J of potential energy to be stored in it? b) You place the spring vertically with one end on the floor. You then drop a book of mass 2.0 kg onto it from a height of 0.800 m above the top of the spring. Find the maximum distance the spring will be compressed.
A massless spring of a spring gun has a force constant k=800 N/m. A ball of mass 0.5 kg is resting on top of the spring. The ball compresses the spring by d as shown in the right figure. When the gun is fired vertically, the ball reached a maximum height of 5 m from the top of the spring as it returns to its natural length. Calculate how much the spring was initially compressed (d). (a) 12 cm; (b)...
A spring is suspended vertically from a fixed support. The
spring has spring constant k=24 N m −1 k=24 N m−1 . An object of
mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The
subject is subject to damping with damping constant β N m −1 s β N
m−1 s . Let y(t) y(t) be the displacement in metres at the end of
the spring below its equilibrium position, at time t...
4. A spring gun with a spring constant, k = 50 N m , is loaded with a 60g ball and placed on a 1.5m high platform. (a) If the spring in the gun is compressed by 4.0cm, how fast would the ball be moving once it is fired and is no longer contacting the spring? answer (b) If the spring in the gun is compressed by 4.0cm, how far from the end of the gun will the ball travel...
Problem 5 A spring with a spring constant k=200 N/m is used as a launcher for a small block whose mass is 10 g. The block is placed against the compressed spring in a horizontal arrangement on a smooth horizontal surface. The spring, with the block, is compressed 5 cm and then released. a) Find the speed of the block just as it leaves the spring b) The block encounters a rough surface as it leaves the spring. How much...
A spring is suspended vertically from a fixed support. The
spring has spring constant k=24 N m −1 k=24 N m−1 . An object of
mass m= 1 4 kg m=14 kg is attached to the bottom of the spring. The
subject is subject to damping with damping constant β N m −1 s β N
m−1 s . Let y(t) y(t) be the displacement in metres at the end of
the spring below its equilibrium position, at time t...
A spring of negligible mass has a force constant of k=1600 N m. You place the spring vertically with one end on the floor. You then drop a 1.20 kg book onto it from a height of 0.80 m above the spring. Find the maximum distance the spring will be compressed. Caution: This is tricky, think about it carefully. The steps are: 1. Draw a picture. 2. Identify the system. 3. FBDs 4. Newton’s Second Law 5. Isolated or not?...
5 points) A spring is suspended vertically from a fixed support.
The spring has spring constant k=28 N m−1k=28 N m−1. An object of
mass m=14 kgm=14 kg is attached to the bottom of the spring. The
subject is subject to damping with damping constant β N m−1 sβ N
m−1 s. Let y(t)y(t) be the displacement in metres at the end of the
spring below its equilibrium position, at time tt seconds.
(5 poins) A spring is suspended vertically...
(5 points) A spring is suspended vertically from a fixed
support. The spring has spring constant k=28 N m−1k=28 N m−1. An
object of mass m=14 kgm=14 kg is attached to the bottom of the
spring. The subject is subject to damping with damping constant β N
m−1 sβ N m−1 s. Let y(t)y(t) be the displacement in metres at the
end of the spring below its equilibrium position, at time tt
seconds.
(a) Give a value of ββ which...