A 5500 kg railcar hits a bumper (a spring) at 1.3 m/s, and the spring compresses by 0.06 m. Assume no damping. Find k = N/m help (numbers) Hint: Solve the differential equation leaving k as unknown. The compression of the spring is the maximum displacement. It is easiest if you assume that 0 displacement is where the railcar is just touching the bumper. How far does the spring compress when a 6500 kg railcar hits the spring at the same speed? m help (numbers) If the spring would break if it compresses further than 0.26 m, what is the maximum mass of a railcar that can hit it at 1.3 m/s? kg help (numbers) What is the maximum mass of a railcar that can hit the spring without breaking at 2.6 m/s? kg help (numbers)

Q: At 11:00 am, a body was found within a closed room of a mansion where the air temperature is a…

A: Newton's law of cooling

Q: The boat is moving at 10m/s when its engine is shut down. Due to the hydrodynamic drag, its…

A: The given information are: When t=0, then v0=10 m/s and a=-0.05v2 . The information that needs to be…

Q: newton's law of cooling

A: We have given that a cup of hot cocoa coo from 90∘C to 60∘C after 10min in a room temperature having…

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A:

Q: A virus spreading across the country is making people sick. Let x be the number of infected people.…

A: If x be the number of infected people. Then it is given that DE is proportional to the infected…

Q: . A steel ball, initially at 100°C is dropped in a water bath at 25°C. After 5 seconds, the…

A:

Q: The air in a room 15 ft by 8 ft by 8 ft is 4% carbon monoxide. Starting at t=0, fresh air containing…

A: Given that room measurements as  15  ft ×8  ft ×8  ft =960  ft3                      4 %…

Q: The equation 4(t) = 3500e042 gives the balance after t years of an initial investment of 3500…

A:

Q: A ball with mass 0.12 kg is thrown upward with initial velocity 10 m/s from the roof of a building…

A: The details solution of the given question is given below in step 2.

Q: A mass of 15 kilograms stretches the spring 0.5 meters. Use this information to find the spring…

A:

Q: When a transistor radio is switched off the current I (in milliseconds) falls away according to the…

A: The differential equation governing the current I in the transistor radio is given by: dI/dt = -0.4I…

Q: A 69-kg base runner begins his slide into second base when he is moving at a speed of 4.6 m/s. The…

A: given speed u=4.6 m/s coefficient of friction μ=0.70 a) How much mechanical energy is lost due to…

Q: Since raindrops grow as they fall, their surface area increases, and therefore the resistance to…

A: thank you

Q: 5. The formula T = 2n is used to solve for the time T needed for the pendulum to complete a single…

A: Time needed for pendulum to complete a single cycle : T=2πLg

Q: A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from…

A: The Newton's second law for the system is as follows. md2xdt2=-kxd2xdt2+kmx=0 Find the value of m as…

Q: At t = 0, a train begins decelerating from a speed of 80 mi/hr according to the acceleration…

A: The train starts decelerating from a speed of 80 mil/hr.Acceleration function −1280(1+8t)3The…

Q: 9 The acceleration of a lift in a tall building is ½(t – 5) m/s² at time t seconds. At time t = 0,…

A: We have to find the number of floor at which the lift stops.

Q: A mass weighting 64 lbs stretches a spring 2 inches. The mass is in a medium that exerts a damping…

A: We must have all the units are in same system

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.