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Vesnalui [34]
3 years ago
15

A 150-kg roller-coaster car climbs to the top of a 91 - m -high hill. How much work is done against gravity as the car is lifted

to the top of the hill ?
Physics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

10 m/s

Explanation:

The potential energy of the roller coaster is converted to kinetic energy. According to law of transformation of energy, potential energy = kinetic energy.

mgh = ½mv².Take g as 10m/s².

150 * 10 * 50 = ½ * 150 * v².

7500 = 75v².

v² = 7500/75.

v = √100.

v= 10 m/s

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A force of 5.0 N acts on a 15 kg body initially at rest. Compute the work done by the force in (a) the first, (b) the second, an
Leokris [45]

Answer:

(a) 0.833 j

(b) 2.497 j

(c)  4.1625 j

(d) 4.995 watt      

Explanation:

We have given force F = 5 N

Mass of the body m = 15 kg

So acceleration a=\frac{F}{m}=\frac{5}{15}=0.333m/sec^2

As the body starts from rest so initial velocity u = 0 m/sec

(a) From second equation of motion s=ut+\frac{1}{2}at^2

For t = 1 sec

s=0\times 1+\frac{1}{2}\times 0.333\times 1^2=0.1666m

We know that work done W =force × distance = 5×0.1666 =0.833 j

(b) For t = 2 sec

s=0\times 2+\frac{1}{2}\times 0.333\times 2^2=0.666m

We know that work done W =force × distance = 5×0.666 =3.33 j

So work done in second second = 3.33-0.833 = 2.497 j

(c) For t = 3 sec

s=0\times 3+\frac{1}{2}\times 0.333\times 3^2=1.4985m

We know that work done W =force × distance = 5×1.4985 =7.4925 j

So work done in third second = 7.4925 - 2.497 -0.833 = 4.1625 j

(d) Velocity at the end of third second v = u+at

So v = 0+0.333×3 = 0.999 m /sec

We know that power P = force × velocity

So power = 5× 0.999 = 4.995 watt

4 0
4 years ago
2 spheres are made from the same material. One is smaller and one is larger. Is the smaller sphere made up of smaller atoms than
motikmotik
No because because they are made up of the same material so that means same size of atoms! I hope this helps
6 0
3 years ago
Read 2 more answers
After Pedro had breakfast, he went for a run. Identify at least three energy transformations that had to take place to allow Ped
FinnZ [79.3K]

Answer:

1) Chemical to mechanical (calories -> muscle contractions)

2) mechanical to mechanical (muscle -> motion)

3) mechanical to thermal (motion -> heat from the body causes sweating)

The potential energy is stored in the body chemically (via food). That potential energy is then released when the body is put in motion.

Explanation:

3 0
3 years ago
What is true about empirical and molecular formulas?
lora16 [44]

Answer:

Molecular formulas explains how many atoms of each element are in a compound, and empirical formulas explains the simplest or reduced ratio of elements in a compound. For instance, If a compound's molecular formula cannot be further reduced any more, then the empirical formula is the same as the molecular formula.

7 0
3 years ago
a cart's initial velocity is +3.0 meters per second. What is its final velocity after accelerating at a rate of 1.5m/s2 for 8.0
Andreas93 [3]

The final velocity is +15.0 m/s

Explanation:

The motion of the cart is a uniformly accelerated motion (=at constant acceleration), therefore we can use the following suvat equation:

v=u+at

where

v is the velocity at time t

u is the initial velocity

a is the acceleration

t is the time

For the cart in this problem, we have:

u = +3.0 m/s (initial velocity)

a=1.5 m/s^2 (acceleration)

t = 8.0 s (time)

Substituting, we find the final velocity:

v=3.0+(1.5)(8.0)=+15.0 m/s

Learn more about accelerated motion:

brainly.com/question/9527152

brainly.com/question/11181826

brainly.com/question/2506873

brainly.com/question/2562700

#LearnwithBrainly

4 0
3 years ago
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