Physics, 24.02.2020 23:42 tannersclark

A roller coaster car drops a maximum vertical distance of 35.4 m. Determine the maximum speed of the car at the bottom of that drop. Ignore work done by friction.

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Answer from: 24hudsonmoss

The maximum speed of the car at the bottom of the drop is 26.34 m/s.

The maximum speed of the car can be determined using the equation below.

Formula:v² = u²+2gs Equation 1Where:v = maximum speed of the car at the bottom of the drop.u = Initial speed of the cars = maximum vertical distanceg = acceleration due to gravity.

From the question,

Given:s = 35.4 mg = 9.8 m/s²u = 0 m/s (drop from a height)

Substitute these values into the equation

v² = 0²+(2×35.4×9.8)v² = 693.84v = √(693.84)v = 26.34 m/s

Hence, the maximum speed of the car at the bottom of the drop is 26.34 m/s

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Answer from: jakeyywashere

The maximum speed of the car at the bottom of that drop is 26.34 m/s.

Explanation:

Given that,

The maximum vertical distance covered by the roller coaster, h = 35.4 m

We need to find the maximum speed of the car at the bottom of that drop. It is a case of conservation of energy. The energy at bottom is equal to the energy at top such that :

$mgh=\dfrac{1}{2}mv^2$

$v=\sqrt{2gh}$

$v=\sqrt{2\times 9.8\times 35.4}$

v = 26.34 m/s

So, the maximum speed of the car at the bottom of that drop is 26.34 m/s. Hence, this is the required solution.

Answer from: Quest

that would be because of both gravity and friction. so c

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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A roller coaster car drops a maximum vertical distance of 35.4 m. Determine the maximum speed of the...

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