I can't tell right away. The elevator's limit is given in terms of mass, but the four people are listed in terms of their weights. In order to compare them, we'll have to convert one or the other.
The total of the four people's weights is:
John . . . . . . . 850N
Betty . . . . . . . 530N
Robert . . . . . . 740N
Alice . . . . . . . .610N
Total . . . . . . 2,730N
The elevator can't accept more than 300 kg of mass.
The weight of any mass is (mass) x (gravity).
On Earth, 300kg weighs (300kg) x (9.8 m/s²) = 2,940 N.
Wonderful !
2,730N is less than 2,940N.
<em>Yes !</em> According to Otis' engineers, John, Betty, Robert and Alice <em>can safely ride the elevator together</em>, (although Betty and Alice may have a different opinion).
So we want to know how long should we make the simple pendulum so it's period is T=200 ms = 0.2 s. Since the formula for simple pendulum is T=2*pi*sqrt(L/g) where T is the period, L is the length and g=9.81 m/s^2. Now we need to invert the formula to get the length: T/2pi=sqrt(L/g), we square both sides of the equation: (T/2pi)^2=L/g and multiply both sides with g:
g*(T/2pi)^2=L. Now we input the numbers and get that the length L= 0.00995m.
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Answer:
E.Potential energy is transformed into kinetic and thermal energy.
Explanation:
At the top of the hill, the roller coaster car has gravitational potential energy, which is given by:
where m is the mass of the car, g is the acceleration due to gravity and h is the height of the car from the ground.
As the car moves down, its height h decreases, while its speed v increases: therefore, potential energy is converted into kinetic energy:
where v is the speed of the car.
However, we must also take into account the force of friction between the wheels of the car and the roller coaster track. This force slows down the car, and so some of the car's energy is actually "lost" and converted into thermal energy (which is due to the friction between the car wheels and the track).
30098
. Hi I’m sorry to hear about the family and stuff but I’m still coming in for the day so I’m not going out to the beach today or just a little later lol lol I’m going on the beach with the girls lol I just need a shower lol I need a shower lol I’m just going on the