A spring with a spring constant of 303 N/m is initially compressed by a distance of 0.056 m from its equilibrium position. A mass of 0.053 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.

Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring constant of 0.2 N/m.  Initially, the spring is unstretched and the bodies are at rest.  If multiple forces and moments are applied to the two bodies that result in the speed of body A increasing to 10 m/s, the speed of body B increasing to 4 m/s, and the stretch of the spring increasing by 10 m, then  -20 Nm of work was done by the spring on the body A, B system. Two rigid bodies, A and B, both 1 kg in mass, are connected by a linear spring with a spring constant of 0.2 N/m.  Initially, the spring is unstretched and the bodies are at rest.  If multiple forces and moments are applied to the two bodies that result in the speed of body A increasing to 10 m/s, the speed of body B increasing to 4 m/s, and the stretch of the spring increasing by 10 m, then  -20 Nm of work was done by the spring on the body A, B system. True False

The force of that particle 2 exerts on 1 is given by: F→21(t)=Fxe^−(t/T)ı^+Fysin⁡(2πt/T)ȷ^ Where the parameters have the values: Fx=−16.1 N, Fy=101 N, T=67 s.We will consider a time interval that begins at ti=0 s and ends at tf=321 s. the mass of particle 1 is 13.9 kg and its intial velocities are 54 m/s I^ + (-42 m/s)J^. What is the x and y displacement for particle 1?

Block A (with mass 10 kg) slides along a frictionless floor with a speed of 0.75 m/s and collides with Block B (with mass 12 kg) which was at rest and is attached to a spring with spring constant 24 N/m. The blocks stick together after the collision; what is the maximum compression of the spring?

A block having a mass of 1.0 kg is given an initial velocity v= 6 m/s to the right and collides with a spring whose mass is negligible and whose force constant is k =100 N/m . Assuming the surface to be frictionless, e the maximum compression of the spring after the collision m 6 m 5 m None

A block of mass M = 8 kg rests on a horizontal frictionless floor, and is connected to a vertical wall by a spring of force constant k = 200 N/m. When the spring is in its equilibrium position (neither stretched nor compressed), the block just touches a second lighter block of mass m = 4 kg at rest on the frictionless floor. The spring with mass M attached is now compressed by 0.1 m and released. The two blocks undergo a completely inelastic collision, i.e., they stick together after collision. Draw a diagram and define all relevant variables. Just before the collision, what is the velocity of mass MT Just after the collision, what is the common velocity of the two blocks? (What is the maximum stretching of the spring after the collision?: How long after the collision do the masses reach their first maximum stretch?

Consider the following system: A spring has stiffness 598 N/m and is initially uncompressed.  It is oriented vertically and placed on hard surface.  A mass of size 2.3 kg is released from rest 9 m above the spring.  Calculate the speed of the mass at the moment when the spring is compressed 0.5 m.  Use g = 10 m/s2. (Please answer to the fourth decimal place - i.e 14.3225)

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 50.1 kg. You pick up an object and drop it from rest, starting at a height of 1.97 meters above the floor, and it hits the floor 0.380 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body?     684 N     911 N     1,367 N     491.5 N

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 53.3 kg. You pick up an object and drop it from rest, starting at a height of 2.40 meters above the floor, and it hits the floor 0.560 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body? 544 N 816 N 522.9 N 408 N

A toy rocket operates by having a spring-loaded tube which ejects a small model rocket when released. The spring inside has a spring constant k = 625N/m, the rocket has a mass of 0.100 kg, and the maximum compression of the spring is 0.18 m.  Consider the system of the rocket, spring, and the earth. Consider the interval of time between t1, when the rocket is released from the point of maximum spring compression, and t2, the moment when the spring is fully released and the rocket leaves the launcher. List below the types of energy that are changing during this interval and whether the changes are positive or negative. Please explain how you know.