There are two springs attached to a mass with an unknown weight. The springs have a stiffness of k = 50 N/m with an unstretched length of 5 m. When the springs are horizontal and unstretched, the unknown mass is released from rest. The mass falls 4m and the mass reaches its maximum velocity.   1. Find acceleration on the mass at its maximum velocity.   2. Find the mass of the mass.   3. To find maximum velocity, use the work-energy.

Q5

Since you are studying mechanics, you decide to consider what Isaac Newton learned by sitting under an apple tree. Fortunately, you decide to wear a helmet, so you may be more practical than Newton was when an apple fell on his head. And you're in luck, an apple (ma = 0.3 kg) falls vertically from the tree and strikes your helmet with a velocity, V₁ = 5 m/sec. The apple then bounces off your helmet to the left at a velocity V₁ = 2 m/sec and an angle of 40° above the horizontal (see the figure). The contact time between the apple and the helmet is 0.12 seconds. (a) Determine the horizontal and vertical components of the impulse exerted by the helmet on the apple. (b) Determine the vertical component of the average impulsive force exerted by the helmet on the apple. V₂ = 2 m/sec Use COLM principles, starting with governing equations, to earn full credit. V₁ = 5 m/sec

A block of mass m1=1.57 kg with velocity 34.1 m/s moves toward another mass m2=2.74 kg attached to the end of a spring of spring constant 118 N/m. The moving block m1 collides with m2 and sticks, and the combined system starts oscillating on the frictionless surface.  Find the magnitude of the maximum acceleration of the combined mass-spring system while they are oscillating. Enter your answer in m/s2. Image is attached Thanks.

Q1 [Type B]: The 20-lb crate A rests on a smooth surface. If the crate starts from rest and P = (t² + 1.5t) lb where t is in seconds, determine the speed of the crate A at t = 2 s using the method of linear impulse and momentum. Not using the required method would result in a 0 for this question. A Shaobo Huang P 30⁰

The system is released from rest with the spring initially stretched 4.0 in. Calculate the velocity v of the cylinder after it has dropped 1.0 in. The spring has a stiffness of 6 lb/in. Neglect the mass of the small pulley.

A box is moving in the i direction with a constant acceleration. A mass, suspended from the top of the box by a linear spring (unstretched length of zero), is moving to the right as well and isn't moving with respect to the box (the spring isn't changing in length and θ is constant). The force exerted by the spring on the mass is given by its spring constant k times its extension. For the present case, the spring is extended 5 cm from its rest length, k = 30 N/m and m = 0.15 kg. What is the angle θ equal to, and what is the acceleration of the box? You can solve for this without using the computer

If the man pulls the strap with constant acceleration during a short time interval Δt, calculate the force (in Newtons) that he must exert in spinning up the disc.  These are the numbers. Strap's final speed = v = 1.5 m/s. The disc's radius is R = 0.4 m The small disc's radius is 2 cm The disc's mass is M = 2.4 kg The short time interval is Δt = 0.3 s The disc initially is non-rotating.

Question 9 A car of mass 1200 kg is travelling west with a velocity of 72 kmh=1. It takes a left turn at 50° and continues with the same speed. It takes 5.5 s to turn the corner. a. Find the change in momentum of the car as it rounds the corner. b. Find the force the road applies to the cars tyres as it turns the corner. c. Find the force the car's tyres apply to the road as it turns the corner.

You have been chosen as the test subject for the newest attraction at Canada’s Wonderland. This attraction is a single-person roller coaster ride that has a 25.0 m drop followed by a collision with a plunger attached to a large spring that brings the ride to rest. The plunger/spring mechanism is composed of a large spring with a mass of 62.5 kg made of pure iron..The cart has a mass of 75.0 kg and starts at rest from the top of the track. To determine the total mass of the cart during the ride you must add your mass to the system. As the cart moves down the track it has been determined that friction in the wheels and axles results in the production of 12750 J of thermal and sound energy combined. The plunger/piston at the bottom of the device has been designed to stop the cart with a maximum acceleration of 5.00 g’s (i.e. 49.0 m/s2).   What is your approximate mass in kilograms?   MY MASS IS 82 kg     Problem 1: The cart with you inside of it starts from rest at the top of the ride.…