A spiral transition curve is used on railroads to connect a straight portion of the track with a curved portion. If the spiral is defined by the equation y = (10-6)x³, where x and y are in feet, determine the magnitude of the acceleration of a train engine moving with a constant speed of 40 ft/s when it is at the point where x = 600 ft. y (10)x = 40 ft/s

Q: The driver of a car, which is initially at rest at the top A of the grade, releases the brakes and…

A: The velocity at point A is The acceleration is given by

Q: he x and y components of the displacement in metres of a point are given by the equations x = 12t3 +…

A: Given Data Component of x is : x=12t3+5t2 component of y is: y=t3-2t Now to calculate the velocity…

Q: The rod OA rotates in the horizontal plane such that 0.48t3 radian, and collar B is sliding outward…

A:

Q: Q1. A ball moves along a straight line, starting from the origin. It has an acceleration of a = = (t…

A:

Q: The velocity of a particle along the s-axis is given by v = 8s9/8 where s is in millimeters and v is…

A: GIVEN DATA Velocity v=8*s98 We have to calculate acceleration at s=3.9mm   Concept If s=displacement…

Q: The motion of a point P with respect to a Cartesian coordinate system is described by 7 = (2√tî + (4…

A: Find out-Average acceleration of P between times t1= 4 s and t2= 6 s.Difference between average…

Q: A particle moving in the x-y plane has a velocity at time t = 5.92 s given by (3.3i + 6.4j) m/s, and…

A: The velocity at  is The velocity at  is

Q: An overhead view of part of a pinball game is shown. If the plunger imparts an initial speed of 2.5…

A:

Q: The rectangular coordinates of a particle which moves with curvilinear motion are given by x=…

A:

Q: A boat is traveling along a circular curve having a radius of 100 ft. If its speed at t = 0 is 20…

A: Answer: The magnitude of the acceleration at that instant is 8.1358 ft/s2.

Q: The velocity of a particle moving in the x-y plane is given by (5.72i + 7.27j) m/s at time t = 5.22…

A: To find: The velocity v of the particle at t=5.239 s and angle between the average acceleration…

Q: A car travels along a horizontal circular curved road that has a radius of 600 meters. If the speed…

A: Given Data⇒Radius =600 metersincrease in speed =0.15 ms2speed of car =17msProblem definition⇒Problem…

Q: ft The velocity of a car traveling along a straight line is given by v = (4 · t² – 7 · t) where t is…

A: Given:v=4t2-7ts=2 ft  at t=0

Q: . Determine the direction of the crate’s velocity at this instant. B. Determine the magnitude of the…

A: Find the direction of velocity and acceleration.

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.