All categories

2 years ago

A 2-kg bowling ball sits on top of a building that is 40 meters tall.

2 answers:

6 0

1. A 2-kg bowling ball sits on top of a building that is 40 meters tall. Circle one: KE / GPE / both Show your work for finding the values of each type of energy the object has:
KE = 0 (because velocity is 0)
PE = mgh = 2kg*9.8m/s^2*40m= 784 joule
2. A 2-kg bowling ball rolls at a speed of 5 m/s on the roof of the building that is 40 tall. Circle one: KE / GPE / both Show your work for finding the values of each type of energy the object has:
BothKE = [1/2]m*v^2 = [1/2](2kg)(5m/s)^2 = 25 joulPE = mgh = 40 joule
3. A 2-kg bowling ball rolls at a speed of 10 m/s on the ground. Circle one: KE / GPE / both Show your work for finding the values of each type of energy the object has:
KE = [1/2]m(v^2) = [1/2]2kg*(10m/s)^2 = 100 joule
GPE = mgh = 0
1. A 1,000-kg car has 50,000 joules of kinetic energy. What is its speed?
KE = [1/2]m(v^2) => v = √[2KE/m] = √[2*50,000joules/1000kg] = 10m/s
2. A 200-kg boulder has 39,200 joules of gravitational potential energy. What height is it at?
GPE = mgh => h = GPE / (mg) = 39,200 joules / (200kg * 9.8m/s^2) = 20m
3. A 1-kg model airplane has 12.5 joules of kinetic energy and 98 joules of gravitational potential energy. What is its speed? What is its height?
KE = [1/2]m(v^2) => v = √ [ 2KE/m] = √[2*12.5 j / 1kg] = 7.9 m/s
GPE = mgh => h = GPE/(mg) = 98/(1kg*9.8m/s^2) = 10 m

Rina8888 [55]2 years ago

6 0

Answer:

The GPE:

So, each object, matter or system holds some stored energy inside its molecules and such energy is stored in the system due to its position or height from the surface or ground.

Mathematical equation:

GPE=mgh, (while "m" is the mass, "g" is gravity, and "h" is the height of the object where it is been placed on).

The K.E(Kinetic energy):

Kinetic energy is the amount energy produced or possessed by it due to some motion in any direction.

Mathematical equation:

K.E= 1/2 m×v², (As "m" is the mass of the body or object, while the velocity represents its motion)

Explanation:

1.Answer-(G.P.E):Because, it is not in motion but it is been placed on some point at a certain height,h from the ground or surface.

So, we have, G.P.E= m.g.h and by putting the values into the equation, we can get the results as follow,

G.P.E=(2)×(9.8)×(40)⇒ G.P.E= 784 kg.m².sec²,

2.Answer-(Both): The body is present on the roof top at height giving it the G.P.E possessed by the object or the body, along with the K.E due to its moment on the top of the building.

Calculation: K.E+G.P.E= Total energy⇒ Tot. energy= 1/2×(2)×(5)²+ (2)×(9.8)×(40),

Tot.energy= 809 J(kg.m².sec²).

3.Answer-(K.E):

When the ball is present on the ground and it is in motion(as it h=0). Then the energy possessed by the body will be Kinetic energy,K.E.

Calculations: K.E=1/2×(2)×(10)²,

K.E=1/2×(2)×(100),

K.E=100 kg.m².sec².

3.Answer-(Both, but at the summit point it will be G.P.E and during the downfall it will be K.E): When a child is thrown upwards in the air by his or her parents then the G.P.E will be attained by the subject at a certain point called as the summit point, and then during the down fall it will change into the K.E.

Then, Tot. energy= m.g.h + 1/2 m.v²,

⇒ Tot.energy= (20)×(9.8)×(2) + 1/2 (20)×(5)²,

⇒Tot.energy=392+250,

⇒Tot.energy=642 kg.m².sec².

Part:2,

As, we know that the total G.P.E possessed by any object is equal to the total K.E, then we can say that;

K.E=P.E,

But,along with that we can write as,

K.E=1/2×(1000)×(v)²,

Putting the required values in the above equation we can have,

50,000=1/2×(1000)×(v)²,
50,000=500×(v)²,
50,000/500=v²,
v²=100,
√v²=√100,
v=10 m/sec,

Now, to find the height,h=?

G.P.E=m.g.h,
39,200=(200)×(9.8)×(h),
39,200=1960×(h),
h=20 meter,

As to find the speed,v=? and the height,h=?.

We, have for speed the following formula:

K.E=1/2×(m)×(v)²,

12.5=1/2×(1)×(v)²,

v²=25,

so,

√v²=√25,

v=5 m/sec,

And to find the height,h=?, we have;

G.P.E=m.g.h,

98=(1)×(9.8)×(h),

h=10 meters.

You might be interested in

In this example we will analyze the forces acting on your body as you move in an elevator. Specifically, we will consider the ca

dexar [7]

Answer:

The reading of the scale during the acceleration is 446.94 N

Explanation:

Given;

the reading of the scale when the elevator is at rest = your weight, w = 600 N

downward acceleration the elevator, a = 2.5 m/s²

The reading of the scale can be found by applying Newton's second law of motion;

the reading of the scale = net force acting on your body

R = mg + m(-a)

The negative sign indicates downward acceleration

R = m(g - a)

where;

R is the reading of the scale which is your apparent weight

m is the mass of your body

g is acceleration due to gravity, = 9.8 m/s²

m = w/g

m = 600 / 9.8

m = 61.225 kg

The reading of the scale is now calculated as;

R = m(g-a)

R = 61.225(9.8 - 2.5)

R = 446.94 N

Therefore, the reading of the scale during the acceleration is 446.94 N

4 0

2 years ago

(This is for science, not physics.)

Anuta_ua [19.1K]

The answer would be B, 19 protons. Hope this helps!

6 0

2 years ago

Read 2 more answers

Sergio [31]

see

below

Explanation:

refractive index = speed of light in vacuum / speed of light in medium

light travels at a speed of 3.0 x 10^8 m/s in vacuum

refractive index = 3.0 x 10^8 / 2.0 x 10^8

refractive index = 1.5

hope this helps, please mark it

4 0

2 years ago

Let n represent the number of similar resistors in a circuit. Each resistor has a resistance of r. When the resistors are connec

jekas [21]

Resistance=(r1+r2+r3...)n
=n×r

8 0

3 years ago

What is the relationship between the wavelength of light and the frequency of light?

Elden [556K]

Answer:

The wavelength and frequency of light are closely related. The higher the frequency, the shorter the wavelength. Because all light waves move through a vacuum at the same speed, the number of wave crests passing by a given point in one second depends on the wavelength.

Explanation:

The frequency of a light wave is how many waves move past a certain point during a set amount of time -- usually one second is used. Frequency is generally measured in Hertz, which are units of cycles per second. Color is the frequency of visible light, and it ranges from 430 trillion Hertz (which is red) to 750 trillion Hertz (which is violet). Waves can also go beyond and below those frequencies, but they're not visible to the human eye. For instance, radio waves are less than one billion Hertz; gamma rays are more than three billion billion Hertz.Wave frequency is related to wave energy. Since all that waves really are is traveling energy, the more energy in a wave, the higher its frequency. The lower the frequency is, the less energy in the wave. Following the above examples, gamma rays have very high energy and radio waves are low-energy. When it comes to light waves, violet is the highest energy color and red is the lowest energy color. Related to the energy and frequency is the wavelength, or the distance between corresponding points on subsequent waves. You can measure wavelength from peak to peak or from trough to trough. Shorter waves move faster and have more energy, and longer waves travel more slowly and have less energy.Aside from the different frequencies and lengths of light waves, they also have different speeds. In a vacuum, light waves move their fastest: 186,000 miles per second (300,000 kilometers per second). This is also the fastest that anything in the universe moves. But when light waves move through air, water or glass, they slow down. That's also when they bend and refract.

6 0

3 years ago