At the base of a hill, a 90 kg cart drives at 13 m/s toward it then lifts off the accelerator pedal). If the cart just barely makes it to the top of this hill and stops, how high must the hill be?

Answers

Answer 1

Answer:

the height of the hill is 8.622 m.

Explanation:

Given;

mass of the cart, m = 90 kg

speed of the cart at the base, v = 13 m/s

Let the height of the hill = h

Apply the principle of conservation of energy, to determine the height of the hill.

¹/₂mv² = mgh

¹/₂v² = gh

[tex]h= \frac{1}{2} \times \frac{v^2}{g} \\\\h = \frac{1}{2} \times \frac{13^2}{9.8} \\\\h = 8.622 \ m[/tex]

Therefore, the height of the hill is 8.622 m.


Related Questions

PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (50pts)

Answers

Explanation:

object D would be the hardest to stop, it has more mass, thus it has a higher momentum than the others, requiring a larger force to stop

explain the forces of that affect the soccer balls path.​

Answers

Answer:

yeah its correct

Explanation:

As the ball spins, friction between the ball and air causes the air to react to the direction of spin of the ball. ... Therefore, when a soccer player kicks the ball right of center the ball spins counter-clockwise and the Magnus force acts left, causing the ball to curve left.

4. Un móvil lleva una velocidad de 75 m/s, en dicho momento aplica los frenos durante tiempo de 15 segundos hasta detenerse. ¿cuál será la aceleración del frenado? ¿cuál es la distancia que recorre hasta detenerse?

Answers

Answer:

a = 5 m / s²   and    x = 562.5 m

Explanation:

Let's apply the kinematics relations

          v = v₀ + at

          v² = v₀² + 2a x

In this case, as the car stops, its final speed is zero (v = 0) and the acceleration must be opposite to the speed, that is, negative

           0 = v₀ - a t

           a = v₀ / t

let's calculate

           a = 75/15

           a = 5 m / s²

let's look for the distance

           0 = v₀² - 2a x

           x = v₀² / 2a

let's calculate

           x = [tex]\frac{75^2}{2 \ 5 }[/tex]

           x = 562.5 m

Ice is made of water so why does it float?

Answers

Answer:Its a Soild

Explanation:

Ralston had lots of spicy and oily food which triggered heartburn. The doctor prescribed
him Milk of Magnesia.
a. Why did the doctor prescribe milk of magnesia?
b. What is the chemical name of milk of magnesia?

Answers

Answer:

A.) The doctor decided to prescribe milk of magnesia because of the mineral Magnesium. Magnesium helps to reduce stomach acid and increases the water in the intestines which helps induce motility in the intestines. Heartburn is caused by stomach acids traveling up into your esophagus which causes that feeling of your heart burning. Milk of magnesia will help soothe this.

B.) The chemical name of milk of magnesia is magnesium hydroxide.

Explanation:

The chemical name of the milk of magnesia is magnesium hydroxide.

An antacid is any substance that is taken to decrease or neutralize the acidity of the gastro intestinal tract. We must note that the gastrointestinal tract is natural acidic.

However, hyperacidity of the gastrointestinal tract could lead to heartburn. This acidity is neutralized using an antacid such as milk of magnesia. The chemical name of the milk of magnesia is magnesium hydroxide.

Learn more about antacid: https://brainly.com/question/1301963

James went to the doctor for a check-up and found his weight to be 1,000 N. How much mass does James have?

Answers

Answer:

102.04kg

Explanation:

(1000kg*m/s^2)/(9.8 m/s^2)

Why the temperature of a resistor increase when a current pass through it

Answers

Answer:

So, when an electrical charge passes through a resistor, some of that electrical energy is transferred into heat, increasing the temperature. This extra energy causes the particles in the resistor to vibrate more. With these particles moving more, it is more difficult to for the electrons to move through the resistor.

Acceleration occurs when an object changes its_ or _or both

Answers

Answer:

Acceleration occurs when an object changes its VELOCITY or DIRECTION or both

Explanation:

Explain why you can see a phone underneath a glass bell jar, but you cannot hear
it when it is ringing?

Answers

Answer: Any sound cannot be heard through a glass bell jar because a vacuum is created in the jar and sound cannot travel without a medium like gases, solids or liquids

Answer:

the glass hids it and the vibration of the phone is the way you hear it

How would the particles be arranged in an object that has a high density? What about in
an object that has a low density?

Answers

The particles in solids are very close together. They are tightly packed, giving solids high densities.

The particles in gases are very far apart, so gases have a very low density.

Answer:

Explanation:

The particles in solids are very close together. They are tightly packed, giving solids high densities.

The particles in gases are very far apart, so gases have a very low density.

how could you weaken the force of gravity between cars and the Earth?
**I WILL MARK BRAINLEST**​

Answers

Answer:

The answer you have selected is correct.

Explanation:

Increase radius, force of gravity decreases

10. What is the acceleration due to gravity at a location
where a 15.0-kilogram mass weighs 45.0 newtons?
1) 675 m/s2
2) 9.81 m/s2
3) 3.00 m/s2
4) 0.333 m/s2

Answers

The answer is 3) 3.00 m/s2

Un cuerpo de 480 g de masa es atraído con una fuerza de 3.9 E-6 N por otro cuerpo de 196 g de masa. Calcula la distancia a la que se encuentran.

Answers

Answer:

La distancia entre los dos cuerpos es aproximadamente 1.269 milímetros.

Explanation:

Asumamos que ambos cuerpos son partículas, la fuerza de atracción ([tex]F[/tex]), en newtons, entre ambos cuerpos se define mediante la Ley de Newton de la Gravitación Universal, cuya ecuación es:

[tex]F = G \cdot \frac{m_{1}\cdot m_{2}}{r^{2}}[/tex] (1)

Donde:

[tex]G[/tex] - Constante de la gravitación universal, en metros cúbicos por kilogramo-segundo cuadrado.

[tex]m_{1}, m_{2}[/tex] - Masas de los cuerpos, en kilogramos.

[tex]r[/tex] - Distancia entre los cuerpos, en metros.

Si sabemos que [tex]G = 6.674\times 10^{-11}\,\frac{m^{3}}{kg\cdot s^{2}}[/tex], [tex]m_{1} = 0.48\,kg[/tex], [tex]m_{2} = 0.196\,kg[/tex] y [tex]F = 3.9\times 10^{-6}\,N[/tex], entonces la distancia entre los dos cuerpos es:

[tex]r = \sqrt{\frac{G\cdot m_{1}\cdot m_{2}}{F} }[/tex]

[tex]r \approx 1.269\times 10^{-3}\,m[/tex]

Es decir, la distancia entre los dos cuerpos es aproximadamente 1.269 milímetros.

7) When you place a metal saucepan on the heating element of a stove, heat is transferred from the element to the saucepan by:
A reflection.
B convection.
C conduction.
D radiation.

8) Which of the following can be described as being luminous :
A Streetlights (turned on)
B A road sign
C The moon
D Water

9) In the burning of fireworks during New Year displays, chemical potential energy is converted into:
A heat, light and sound energy.
B light and sound energy.
C sound and heat energy.
D gravitational potential energy and light.

10) Which would be the most appropriate description of how energy is distributed when a torch is turned on?
A 70% light energy, 30% thermal energy
B 70% thermal energy, 30% electrical energy
C 65% light energy, 30% thermal energy
D 40% thermal energy, 55% light energy

Answers

Answer:

Explanation:

7.Conduction

Assuming the pot is cold and the heating element is hot: Heat will be transferred from the element to the pan via conduction because they are in contact with one another.

8.  C The moon

9.  A heat, light and sound energy.

When fireworks explode, chemical energy is transformed into thermal energy, mechanical energy, radiant energy, and sound energy.

10.A 70% light energy, 30% thermal energy

When the flashlight is turned on, the chemical energy is first transformed into electrical energy and then into light energy.

If number 10 is not correct then the answer is  C.

What is the rate at which velocity changes called?

Answers

It’s called (Acceleration) is a measure of how quickly the velocity is changing
Answer is in the picture

How is speed related to kinetic energy?​

Answers

Answer:

K.E. = 1/2mv^2

Explanation:

v is velocity (a vector) not speed (a scalar) but they have the same magnitude

If the amount of force from the group on the left was 235 N, what is the amount of force from the group on the right

Answers

Answer:

(F = ma ) Newton's second law states that force is proportional to what is required for an object of constant mass to change its velocity. This is equal to that object's mass multiplied by its acceleration.

1. What physical benefits can a person gain from playing floor hockey?​

Answers

Answer:

strengthens ur muscles

A 12.0 cm object is 9.0 cm from a convex mirror that has a focal length of -4.5 cm. What is the distance of the image from the mirror?

Answers

Answer: -3cm

Explanation:

Answer:

-3

Explanation:

edg

Velocity is speed with ?

To answer this question click the blank, then click the word in the word bank.

Word Bank:
A:Direction
B:slope
C:acceleration

Answers

Answer:

A. Direction

Explanation:

Velocity is the speed of something heading in a certain direction. If speed or direction changes, the velocity changes.

Mercury boils at 357C and freezes at -38.9C. Convert these temperatures
to Kelvin.

Answers

630.15 kelvin, 312.05 kelvin

what are the comparisons and contrast of adaptation and natural selection? ASAP!!!!!!

Answers

Answer:

Natural selection is a mechanism, or cause, of evolution.

Explanation:

Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations.

what are newtons laws of motion?

Answers

Answer:

In classical mechanics, Newton's laws of motion are three laws that describe the relationship between the motion of an object and the forces acting on it. The first law states that an object either remains at rest or continues to move at a constant velocity, unless it is acted upon by an external force.

Explanation:

tips for achieving good grades at science exam? i would be very thankful for you!!​

Answers

Make sure you study, and ask ur teacher for extra recourses

I’ll love you forever if you help me <3

Answers

It’s meee ;) answer is 1.7 (d)

What does the root cand mean in the word candescent?
The candescent quality of the room was improved by the southern exposure.

Answers

Glowing Condition Beutiful Pleasent


It’s A

Answer:

Glowing

Explanation:

A 9 kg blob moving at 5 m/s collides and sticks to a second blob with a mass of 5 kg. If the two bobs stick together, what will the velocity of the two blobs move at?

Answers

Answer:

the final velocity of the two blobs after collision is 3.21 m/s.

Explanation:

Given;

mass of first blob, m₁ = 9 kg

mass of the second blob, m₂ = 5 kg

initial velocity of the first blob, u₁ = 5 m/s

initial velocity of the second blob, u₂ = 0

Let the final velocity of the two blobs after collision = v

Apply the principle of conservation linear momentum to determine v;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

9 x 5   +    5 x 0 = v(9 + 5)

45 = 14v

v = 45 / 14

v = 3.21 m/s

Therefore, the final velocity of the two blobs after collision is 3.21 m/s.

A hydraulic press consist of of two
cylinders of cross sectional areas
0.2m2 and 5m². The piston in the
smaller cylinder is pushed down
with a force of 100N through a
distance 0.2m. calculate
Links
(0)
The pressure transmitted
(ii)
The force exerted by the
piston in the larger cylinder. ​

Answers

Answer:

Explanation:

i )

area of small piston = 0.2 m²

Force = 100 N

pressure created on small piston

= 100 / .2 = 500 N/m²

According to Pascal's law , this pressure will be transmitted to larger cylinder .

area of larger cylinder = 5 m²

ii )

pressure = force / area

force in the large cylinder = pressure x area of large cylinder

= 500 x 5

= 2500 N .

Identify what happens to the kinetic energy (KE) and gravitational potential energy (PE) of a rock as it falls.

KE and PE both increase.
KE and PE both decrease.
KE increases and PE decreases.
KE decreases and PE increases.

Answers

Answer:

KE increases and PE decreases.

Explanation:

POTENTIAL ENERGY (PE):

The potential energy of the rock depends upon the height of the rock, as given by the following formula:

P.E = mgh

Therefore, the potential energy will be highest at the initial point due to the highest height attained by rock. As the rock falls, its height will decrease as a result its potential energy will also decrease.

KINETIC ENERGY (KE):

The kinetic energy of the rock depends upon the velocity of the rock, as given by the following formula:

[tex]K.E = \frac{1}{2}mv^2[/tex]

Therefore, the kinetic energy will be zero at the initial point due to the zero velocity of the rock. As the rock falls, its velocity will increase as a result its kinetic energy will also increase.

Hence, the correct option will be:

KE increases and PE decreases.

In order to have an airplane ascend, it needs to have more___
than weight. *
Drag
Weight
Lift
Thrust

Answers

Answer:

drag weight lift thrust

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