Force (N) 45 40 35 30 25 20 15 10 5 Spring Stretch Length With Increasing Mass 0 0 1 2 3 4 5 6 7 8 9 10 Spring Stretch (m)

An automobile having a mass of 1000 kg is driven into a brick wall in a safety test. The bumper behaves like a spring with constant 4.75  106 N/m and is compressed 2.70 cm as the car is brought to rest. What was the speed of the car before impact, assuming no energy is lost in the collision with the wall? m/s

An object has a mass of 0.5 kg is placed in front of a compressed spring. When the spring was released, the 0.5kg object collides with another object with mass 1.5kg and they move together as one unit. Find the velocity of boxes if the spring constant is 40N/m, and spring. was initially compressed by 20cm. Answer with text and/or attachments:

(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/s

The tension in a ligament in the human knee is approximately proportional to the extension of the ligament, if the extension is not too large. If a particular ligament has an effective spring constant of 152 N/mm as it is stretched, what is the tension in this ligament when it is stretched by 0.800 cm?

Problem 6: A child's toy consists of a m = 42 g monkey suspended from a spring of negligible mass and spring constant k. When the toy monkey is first hung on the spring and the system reaches equilibrium, the spring has stretched a distance of x = 16.1 cm, as shown in the diagram. This toy is so adorable you pull the monkey down an additional d = 4.1 cm from equilibrium and release it from rest, and smile with delight as it bounces playfully up and down. Unstretched Position Equilibrium Stretched Position Part (a) Using the given information, determine the spring constant, k, in Newtons per meter, of the spring. Numeric : A numeric value is expected and not an expression. k = 2.557 Part (b) Select the free-body diagram that best represents the forces acting on the monkey as you are pulling it down, immediately before you let go. SchematicChoice : F. AF, spring spring spring F. F. F gravity .F applied applied F, A F spring spring F. Fopplied spring F E. gravity F. gravit gravity applied…

A mass of 1.2kg is attached to a spring with a constant 12N/m. it is then displaced to a maximum point of 2m. How much time does it take for the block to travel to the point x=1.5m? answer in seconds

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.

A mass of 0.3 kg hangs motionless from a vertical spring whose length is 0.75 m and whose unstretched length is 0.55 m. Next the mass is pulled down to where the spring has a length of 1.05 m and given an initial speed upwards of 1.7 m/s. What is the maximum length of the spring during the motion that follows? maximum length= Hint: the conceptually-simplest approach is to track the changes in kinetic, spring-potential, and gravitational-potential energies; the mathematically-simplest approach is to observe that the sole effect of gravitation is to lower the spring's equilibrium position, then track just the kinetic and spring-potential (relative to the lower equilibrium) energies.

A 2.8 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring, (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 7.5 cm before coming to rest. N/m (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.4 cm. m/s Additional Materials