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klemol [59]
3 years ago
6

A 3 kg toy car rests st the top of a 0.45 meter ramp. What is its gravitational potential energy?

Mathematics
1 answer:
salantis [7]3 years ago
7 0
<span>gravitational potential energy : P
Gravity : g
Mass : m
height : h

P = mgh  = 3 x 9.8 x 0.45 = 13.23 Joule

Potential energy is work , from the known formula

W = Fd ( work = force x distance ) 

W = P ( in case of potential energy height change)

F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body

F = mg ( not just <m> as the force is mg (Newton) gravity effect)

d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so

d = h 

W = Fd = (F = mg) x (d = h) = mgh 

W = mgh = P


</span>

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Juan and Franco collect baseball cards. Juan has baseball cards. Franco has 18 fewer baseball cards than Juan. Together they hav
horsena [70]

Answer:

Franco has 66 baseball cards.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of baseball cards that Franco has.

y is the number of baseball cards that Juan has.

Franco has 18 fewer baseball cards than Juan.

This means that:

x = y - 18

Also:

y = x + 18

Together they have 150 baseball cards.

This means that:

x + y = 150

Since y = x + 18

x + x + 18 = 150

2x = 132

x = \frac{132}{2}

x = 66

Franco has 66 baseball cards.

8 0
3 years ago
A bicycle tire has a radius of 13.25 inches. How far will the bicycle travel in 40 rotations of the tire?
Effectus [21]

Answer:

it will travel 69 feet on the bike

Step-by-step explanation:

8 0
2 years ago
On a coordinate grid, AB has an end point B at (24, 16). The midpoint of AB is P(4, -3). What is the y-coordinate of Point A?
inysia [295]

The y-coordinate of point A is -22

Step-by-step explanation:

Given

B = (24,16)

P = (4,-3)

The formula for mid-point of AB will be given by:

P = (\frac{x_A+x_B}{2} , \frac{y_A+y_B}{2})

As we already know the y-coordinate of midpoint

We can put the formula's y coordinate equal to the given value

\frac{y_A+y_B}{2} = -3\\\frac{y_A + 16}{2 } = -3\\y_A+16 = -3 * 2\\y_A +16 = -6\\y_A = -6-16\\y_A = -22

Hence,

The y-coordinate of point A is -22

Keywords: Mid-point, coordinate geometry

Learn more about coordinate geometry at:

  • brainly.com/question/5565320
  • brainly.com/question/5720422

#LearnwithBrainly

7 0
2 years ago
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Wewaii [24]

Answer:

For covering  1 unit area of the entire playground, the amount of sand required is equal to volume of 3 buckets of sand.

Step-by-step explanation:

Given -

\frac{1}{3} volume of sand in bucket is able to cover \frac{1}{9} area of the entire playground

Thus,

For covering  \frac{1}{9} unit area of the entire playground, the amount of sand required is equal to  \frac{1}{3}  of the total volume of sand in bucket

For covering  1 unit area of the entire playground, the amount of sand required is equal to

\frac{\frac{1}{3} }{\frac{1}{9} } \\\\\frac{1}{3}  * \frac{9}{1} \\\frac{9}{3}\\= 3

For covering  1 unit area of the entire playground, the amount of sand required is equal to volume of 3 buckets of sand.

4 0
3 years ago
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They will pay 15 dollars
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