A crate of mass m1 slides down a well-lubricated hill of height h, with negligible friction. At the bottom, where it is moving horizontally, it collides with another crate, of mass m2, that initially was sitting at rest and that is attached to a wall by a spring of spring constant k that initially is at its equilibrium length. Assume that the spring itself has negligible mass. a)Given that the distance d that the crates compress the spring is d=0.35 m, calculate the speed v2 of the crates immediately after the collision, in units of meters per second. Use the following values: k=950 N/m m1=2.4 kg m2=2.6 kg μ=0.49 g=9.8 m/s2  b) What was the speed of the crate of mass m1 just before the collision with the second block, in meters per second?  c)What is the height h of the hill, in meters?

icon
Related questions
Question

  A crate of mass m1 slides down a well-lubricated hill of height h, with negligible friction. At the bottom, where it is moving horizontally, it collides with another crate, of mass m2, that initially was sitting at rest and that is attached to a wall by a spring of spring constant k that initially is at its equilibrium length. Assume that the spring itself has negligible mass.

a)Given that the distance d that the crates compress the spring is d=0.35 m, calculate the speed v2 of the crates immediately after the collision, in units of meters per second. Use the following values:
k=950 N/m
m1=2.4 kg
m2=2.6 kg
μ=0.49
g=9.8 m/s2 

b) What was the speed of the crate of mass m1 just before the collision with the second block, in meters per second? 

c)What is the height h of the hill, in meters? 

Expert Solution
Introduction:

We are given spring constant and mass of crate attached to spring. We are also given compression in spring. The kinetic energy of the crates after collision gets converted to spring potential energy. We hence find speed of system of crates. We then apply conservation of momentum to find the initial speed of first crate before collision. We then again use conservation of mechanical energy to find height of hill.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS