Question

Please Help! Mathematically, work = force x distance

At Coaster World, the tallest rollercoaster is The Pinnacle. The top of the first hill is 40 meters high. It takes 160 Newtons of force to bring a car to the top of the first hill. It takes 10 seconds to get to the top of the hill. How much work is done? How fast are you travelling, on average, to the top of the first hill?

Find the Force, Distance, Time, Work, Average Speed

Answer 1

Question: What is the distance?

Explanation: The person above did not say.

Answer 2

Step-by-step explanation:

The given data is as follows.

Height, h = 40 m, F = 160 N

Time, t = 10 sec, Work, w = ?

Calculate the work by using the formula as follows.

Work = Force × displacement

= 160 N × 40 m

= 6400 J

Now, calculate the average speed as follows.

Potential energy = Kinetic energy

m × g × h =
`(1mv^(2))/(2)`

Cancelling mass, m from both the sides the relation will become:

g × h =
`(1v^(2))/(2)`

or, v =
`\sqrt {2gh}`

=
`\sqrt {2 * 9.8 m/s^(2) * 40 m}`

=
`\sqrt {784}` m/s

= 28 m/s

Thus, we can conclude that work done is 6400 J and average speed is 28 m/s.