Physics, 26.10.2020 08:50, nayelimoormann

A single frictionless roller coaster car of mass m=750 kg tops the first hill with speed v=15 m/s ar height h =40m as shown 1) Find the speed of the car at B and C

2) if mass m were doubled, would the speed at B increase, decrease, or remain the same?

A single frictionless roller coaster car of mass m=750 kg tops the first hill with speed v=15 m/s a

Answers: 1

Show answers

Answers

answered: asdfghj3513

1. The speed of the roller coaster car at point B and C: are 19.8 m/s and 0 m/s respectively.

2. If mass (m) of the roller coaster car were doubled, the speed at B would increase because energy is dependent on the mass of an object.

Given the following data:

Mass of roller coaster car = 750 kgSpeed of roller coaster car = 15 m/sHeight = 40 meters

1. To find the speed of the roller coaster car at point B and C:

First of all, we would determine the potential energy of the roller coaster car by using the formula:

P.E = mgh

Where:

m is the mass of object.g is the acceleration due to gravity ( $9.8\;m/s^2$ ).h is the height of an object.

From the diagram, height at point B = $\frac{h}{2} = \frac{40}{2} = 20$ meters

P.E = 750(9.8)(20)

P.E = 147000 Joules.

Next, we would determine the speed by applying the law of conservation of energy.

$Kinetic\;energy = Potential\;energy\\\\\frac{1}{2} mv^2 = mgh$

Substituting the values, we have;

$147000 = \frac{1}{2} (750)v^2\\\\147000 = 375v^2\\\\v^2 = \frac{147000}{375} \\\\v^2 = 392\\\\v = \sqrt{392}$

Speed, v = 19.8 m/s

From the diagram, at point C, the speed is equal to zero (0) meters per seconds.

2. If mass (m) of the roller coaster car were doubled, the speed at B would increase because energy is dependent on the mass of an object.

Other questions on the subject: Physics

Physics, 22.06.2019 09:10, kingdesto3481

Which lists the organs in the correct order as food passes from the mouth to anus?

Answers: 1

continue

Physics, 22.06.2019 13:10, jaeana

1. the materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. she knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. she also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four (4) days.2. at what point should resin be reordered? a. 0 kilograms remainingb. 50 kilograms remainingc. 200 kilograms remainingd. 400 kilograms remaininge. 500 kilograms remaining3. if order size was 1,000 kilograms of resin, what would be the length of an order cycle? a. 0.05 daysb. 4 daysc. 16 daysd. 20 dayse. 50 days4. if the order size was 1,000 kilograms of resin, what would be the average inventory level? a. 50 kilogramsb. 200 kilogramsc. 500 kilogramsd. 800 kilogramse. 1,000 kilograms5. if the order size was 1,000 kilograms of resin, what would be the daily total inventory costs, excluding the cost of the resin? a. $5b. $10c. $20d. $25e. $40

Answers: 3

continue

Physics, 22.06.2019 14:00, astigall4272

What is the force that opposes motion and works against the downward pull? a) friction b) gravity c) weight d) acceleration

Answers: 1

continue

Physics, 22.06.2019 14:00, eden1017

Estimate the change in the gibbs energy and molar gibbs energy of 1.0dm3 of octane when the pressure acting on it is increased from 1.0 atm to 100 atm. the mass density of octane is 0.703 g cm−3

Answers: 3

continue

Do you know the correct answer?

A single frictionless roller coaster car of mass m=750 kg tops the first hill with speed v=15 m/s ar...