An astronaut holds a rock 100m above the surface of Planet X. The rock is then thrown upward with a speed of 15m/s, as shown in the figure. The rock reaches the ground 10s after it is thrown. The atmosphere of Planet X has a negligible effect on the rock when it is in free fall. Determine the acceleration due to gravity on Planet X.

Answers

Answer 1

The acceleration due to gravity of the planet X is 1 m/s².

The given parameters;

height above the ground, h = 100 minitial velocity of the rock, u = 15 m/stime of motion of the rock, t = 10 s

The acceleration due to gravity is calculated as follows;

[tex]h = ut - \frac{1}{2} gt^2\\\\100 = 15(10) - (0.5\times 10^2)g\\\\100 = 150 - 50g\\\\50g = 150-100\\\\50g = 50\\\\g = 1 \ m/s^2[/tex]

Thus, the acceleration due to gravity of the planet X is 1 m/s²

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Related Questions

when the speed of a moving car is doubled, how much more kinetic energy does it have?

Answers

Answer: 4 times

Explanation:

KE1 = (1/2)mv^2

KE2 = (1/2)m(2v)^2 or (1/2)m*4v^2

KE2/KE1 = ((1/2)m*4v^2)/((1/2)mv^2) = 4 times

A toy truck has a mass of 8kg. If it is moving at a velocity of 3m/s, what is it's
momentum?

Answers

Answer:

[tex]momentum =mv \\ = 8 \times 3 = 24kg.m. {s}^{ - 1} [/tex]

If y = ab, then find the maximum percentage error in the measurement of y. ​

Answers

Answer:

(Δa/a +Δb/b) × 100

Explanation:

Y= a/b

So, maximum percentage error

Δy/y = ( Δa/a + Δ b/b) × 100

Plz, Mark me as the brainlest

Differentiate the followingy= 14t^2-t^2/2+5t-3dy/dt=?

Answers

I'm going to assume you mean

[tex]y = 14t^2 - \dfrac{t^2}{2+5t} - 3[/tex]

Taking the derivative with respect to t on both sides gives

[tex]\dfrac{\mathrm dy}{\mathrm dt} = 2\cdot14t - \dfrac{(2+5t)(2t)-t^2(5)}{(2+5t)^2} - 0 \\\\ \dfrac{\mathrm dy}{\mathrm dt} = \boxed{28t - \dfrac{4t+5t^2}{(2+5t)^2}}[/tex]

You could go on to expand the rational expression into partial fractions. One way to do this:

[tex]\dfrac{5t^2 + 4t}{(2 + 5t)^2} = \dfrac{t(5t+2) + 2t}{(2+5t)^2} \\\\= \dfrac{t}{2+5t} + \dfrac{2t}{(2+5t)^2} \\\\= \dfrac15 \cdot \dfrac{t}{\frac25+t} + \dfrac{2t}{(2+5t)^2} \\\\ = \dfrac15 \cdot \dfrac{t+\frac25-\frac25}{\frac25+t} + \dfrac{2t}{(2+5t)^2} \\\\ = \dfrac15 \left(1 - \dfrac{2}{2+5t}\right) + \dfrac{2t}{(2+5t)^2} \\\\ = \dfrac15 - \dfrac{2}{10+25t}+ \dfrac{2t}{(2+5t)^2}[/tex]

and this would give

[tex]\dfrac{\mathrm dy}{\mathrm dt} = 28t - \dfrac15 + \dfrac2{10+25t} - \dfrac{2t}{(2+5t)^2}[/tex]

How do I find force?

Answers

Answer:

The force formula is defined by Newton's second law of motion: Force exerted by an object equals mass times acceleration of that object: F = m×a( force = mass×area)

Latitude is measured from the equator in a and a direction and what's it known as​

Answers

Answer:hey can you help me answer my question please.

Explanation:

Whoich has a greater volume 1kg of gold or 1kg of silver

Answers

Answer:

equal

Explanation:

both pursue same amount of weight

Both metals with have the same amount of volume as it takes up same amount of space no matter what.

Pedro runs a total of 125 m in a straight line north in 11.5 s. What is his velocity.

Answers

velocity = displacement / time

velocity = 125 / 11.5
velocity = 10.9m/s (3sf)

What science projects should I do? Please just choose something basic!

Answers

how does the different type of music such as classic, hiphop, or rock affect the human mind

what is the instantaneous velocity at 1s.

Answers

Answer:

the average velocity between two points on the path in the limit that the time (and therefore the displacement) between the two points approaches zero.

Explanation:

QUESTION 14
The sides of a small rectangular box are measured to be 1.75 +/- 0.01 cm, 7.25 +/- 0.02 cm, and 8.5 +/- 0.1 cm long. Calculate the uncertainty in its volume in cubic centimeters
A) 1.2x10^-3 cm^3
B) 0.13 cm^3
C) 2 cm^3
D)0.02 cm^3

Answers

Answer:

firts divide then multiply divide again and your and your answer should d

someone help me please

Answers

Dark matter pulls the moon around earth in a circular pattern

Answer:

The moon is being pulled to the earth by gravity, so the net force makes a circular pattern.

Explanation:

The force of gravity is a force that pulls objects toward the centre of the earth. The acceleration due to gravity of the moon is about 1.6 metre per second square which is comparatively smaller than the earth's 10metre per second. Therefore, the moon isn't completely pulled to the centre of the earth, but orbits around the earth



On a pirate map, “X” marks the spot. Does that “X” reference the position or the
displacement of the treasure?

Answers

Answer:

it References the position

Explanation:

Displacement is defined to be the change in position of an object.

And the treasure can't move by itself because its an object (and objects don't move).

A train accelerates to a velocity of 500 m/s over time of 2s. The acceleration it experienced was 50m/s2. What was its initial velocity?

Answers

Explanation:

We know ,

v = u + at u = v - at u = 500 - 2*50u = 400 m/s

a) The mass of a box is 250 kg. The lower surface area is 150 cm². What is the pressure exerted by the box on the surface? ​

Answers

Mass=250kg

[tex]\\ \sf\longmapsto Force=ma=250(10)=2500N[/tex]

Area=150cm^2=0.015m^2

[tex]\\ \sf\longmapsto Pressure=\dfrac{Force}{Area}[/tex]

[tex]\\ \sf\longmapsto Pressure=\dfrac{2500}{0.015}=1.6666.6Pa[/tex]

What is Newton's first law of motion?

A. For every force there is an equal and opposite reaction force.
B. If a net force is applied to an object, then the object will accelerate.
C. An object will remain at rest or continue moving in a straight line with a constant speed unless acted on by an unbalanced force.
D. The gravitational force between two objects is proportional to their masses and inversely proportional to the distance between them.

Answers

Answer:

C

Explanation:

Newton's first Law of Motion is also known as law of inertia, which states that "an object at rest remains at rest, and an object that is moving will continue to move straight and with constant velocity, if and only if there is no net force acting on that object". As such, the correct option should be C.

Option A is Newton's third Law of Motion.

Option B is Newton's second Law of Motion

Option D is Newton's Law of Universal Gravity

a bus starts to move from rest . if its velocity becomes 90km/per hour after 8s. calculate its acceration .

its answers is : 3.13ms-2​

Answers

Answer:

3.13m/s²

Explanation:

first convert from KM to M, 1km-1000m then convert from km/h to m/s (speed)

90×1000/3600 note: 1h- 3600s

=25m/s

a=v/t

a= 25m/s ÷ 8s

a= 3.125 / 3.13m/

the apparent shift of a nearby object against the background of more distant stars is called:

Answers

Answer:

Astronomers estimate the distance of nearby objects in space by using a method called stellar parallax, or trigonometric parallax. Simply put, they measure a star's apparent movement against the background of more distant stars as Earth revolves around the sun.

Volcanic Island Arcs, such as Japan, form when a(n) __________ plate is subducted below a(n) _________________ and takes seawater with it. A rock and water mixture will break through the crust.

Answers

Volcanic Island arcs form when an oceanic tectonic plate is subducted below a tectonic plate  taking seawater with it.

Volcanic island arcs occur offshore during volcanoes. They occur due to the subduction of an oceanic plate under another tectonic plate. Volcanic Island arcs occur mostly in ocean basins.

Due to the subduction of oceanic plates under tectonic plates, Island Arcs are found, mostly along the margins of continent.

Hence we can conclude that Volcanic Island arcs Form when an oceanic tectonic plate is subducted below a tectonic plate  taking seawater with it.

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which situation is an example of transferring heat by means of convection?

Answers

A situation that involves the transfer of heat by means of convection must involve the exchange of fluid currents such as land and sea breezes.

Heat transfer by convection is a method of heat transfer by which heat is transferred between two bodies through through currents of moving fluids or gases.

The following are examples of heat transfer by convection;

land breezes cooling the sea at nightsea breezes cooling the land during the dayboiling of watercirculation of blood, etc

Thus, a situation that involves the transfer of heat by means of convection must involve the exchange of fluid currents such as land and sea breezes.

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How does a pedometer help people reach their fitness goals?

Answers

Answer:

Pedometers are designed to detect vertical movement at the hip and so measure the number of steps and provide an estimate of distance walked. They cannot provide information on the temporal pattern of physical activity or the time spent in different activity at different intensity.

A child throws a ball up with an initial velocity of 4
m/s. If the starting height of the ball was 2.5 meters,
what will be the height of the ball after 0.5 seconds?
Use a = -9.8 m/s/s.

Answers

The height of the ball after the given time of motion is 3.275 m.

The given parameters;

initial velocity of the ball, u = 4 m/sheight of fall of the ball, h = 2.5 mtime of motion, t = 0.5 s

The distance traveled by the ball is calculated as follows;

[tex]h =h_0 + ut - \frac{1}{2}gt^2 \\\\h = 2.5 + 4(0.5) - (0.5\times 9.8\times 0.5^2)\\\\h = 3.275 \ m[/tex]

Thus, the height of the ball after the given time of motion is 3.275 m.

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Aristotle supported which of these views?
A. The Sun and all the planets revolve around Earth.
B. The speed of a free-falling object is independent of its weight.
C. Earth and other planets revolve around the Sun.
D. Every action has an equal and opposite reaction.
E. The fifth element, ether, does not exist in heavenly bodies.
(PLEASE HELP ME)

Answers

Answer:

I am pretty sure that it is A. The Sun and all the planets revolve around Earth. Hope this helps!!!!!

Explanation:

On a trip you travel at a constant speed of 50 kilometers per hour North for 1 hour. Then you turn West and travel at a constant speed of 40 kilometers per hour for 2 hours. Calculate your velocity for the trip.
43 km per hour
31 km per hour
27 km per hour West + 17 km per hour North
50 km per hour North + 40 km per hour West

Answers

Answer::27 km per hour West + 17 km per hour North

Explanation:

:27 km per hour West + 17 km per hour North

he or she is right good jod

The velocity for the trip would be 31 km per hour, therefore the correct answer is option B.

What is displacement?

An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard. Displacement describes this shift in location.

As given in the problem, on a trip you travel at a constant speed of 50 kilometers per hour North for 1 hour. Then you turn West and travel at a constant speed of 40 kilometers per hour for 2 hours.

The final displacement of the trip = √(50² + 80²)

                                                         = 94.34 kilometers

The velocity of the trip = total displacement of the trip / time period

                                      =94.34 kilometers / 3

                                      = 31 kilometers per hour

Thus, the velocity of the trip would be 31 kilometers per hour.

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#SPJ2

I NEED HELP I AM SO CONFUSED, WILL GIVE BRAIN.

1. What is the acceleration of a spaceship that can accelerate from 10,000 m/s to 17,500 m/s in 20 seconds?

2. How long does it take the principal to run to our classroom, if the distance is 125 meters, and he accelerates, from rest, at a rate of 4 m/s^2?

3. A pen falls off my desk. It took 1.5 seconds to fall. What was the velocity of the pen just before it hit the ground?

4. You are standing at the edge of a cliff that is 40m tall. You throw an apple down with a speed of 15 m/s. How long does it take to fall to the bottom of the cliff?

5. A stone is dropped from the roof of a building. It took 5 s for the stone to reach the ground. What is the height of the building?

6. A man is on a 30m cliff and throws a ball down with a speed of 7 m/s.
A) With what velocity does the ball hit the ground? B) How high above the ground is the ball after the ball has fallen for 1 second?

7. A watermelon is dropped from rest from the top of a 20m cliff. A) How long does the watermelon be in the air?
B) What was the watermelon’s final velocity?

Answers

The kinematic relations allow finding the results for the different questions are:

     1.  The acceleraations is a = 375 m/s²

     2. The time is t = 62.5 s

     3. The velocity at the ground is  v = -14.7 m / s

     4.  The time to the bottoncliff is    1.7 s

     5.  The height isy₀ = 122.5 m

     6.

         A) The velocity is v = 25.2 m / s

         B)  The height  for t=1 s is  y = 18.1 m

     7.

         A)  Time in the air is t = 2 s

         B)  The final veloicty is   v = - 19.6 m / s

Kinematics analyzes the movement of bodies, finding relationships between the position, velocity and acceleration of bodies.

Let's look for the answers to a series of questions:

1. They indicate the initial and final velocities of the body and the time to reach it is 20 s, ask how much the acceleration is worth

Let's use the relationship

             v = v₀ + a t

             a = [tex]\frac{v-v_o}{t}[/tex]

             a = [tex]\frac{17500-10000}{20}[/tex]

             a = 375 m/s²

2. What is the time it takes to travel a distance of 125 m with an acceleration of 4 m / s²

             x = v₀ t + ½ a t²

As it leaves the direction its initial velocity is zero

             x = ½ to t²

             t = [tex]\sqrt{\frac{2x}{a} }[/tex]

             t = [tex]\sqrt{\frac{2 \ 125}{4} }[/tex]

             t = 62.5 s

3. A pencil falls from a height and reaches the floor in a time of 1.5 s what is the speed when reaching the floor

            v = v₀ - g t

As it is released its initial velocity is zero

            v = -g t

            v = - 9.8 1.5

            v = -14.7 m / s

The negative sign indicates that the velocity is directed downwards.

4. From the edge of a cliff 40 m high, an apple is thrown downward with an initial velocity of 15 m / s. How long does it take to get to the bottom?

             y = y₀ + v₀ t - ½ g t²

In this case the initial velocity is negative because it is directed downwards and when it reaches the floor its height is zero, let us substitute

Suppose the acceleration is g = 10 m / s²

             0 = 40 - 15 t - ½ 10 t²

             0 = 40 - 15 t - 5 t²

             

let's solve the quadratic equation

             t² + 3 t - 8 = 0

             t = -3 + Ts 9 + 4 8/2

            t = -3 + 6. 4/2

             t₁ = - 4.9 s

            t₂ = 1.7 s

The time must be a positive quantity, so the correct answer is 1.7 s

5. A stone is dropped from the ceiling and it takes a time 5 s to reach the floor, which is the height of the ceiling

           y = y₀ +v₀ t - ½ g t²

as it is released from the ceiling its initial velocity is zero and the height upon reaching the floor is zero

          0 = y₀ + 0 - ½ g t²

          y₀ = ½ g t²

          y₀ = ½ 9.8 5²

          y₀ = 122.5 m

6. A man at a height of 30 m throws a ball downward at 7 m / s

    A) The speed when reaching the ground

    B) The height of the ball when a time of 1 s has fallen.

  A) Let's use the kinematics relation

              v² = v₀² - 2 g (y -y₀)

              v = 7² - 2 9.8 (0 -30)

              v = 25.2 m / s

 B)   y = y₀ + v₀ t - ½ g t²

        y = 30  7 1 - ½ 9.8 1²

        y = 18.1 m

7.  A watermelon is dropped from rest from the top of a 20m cliff.  

 A) time in the air

 B) ground speed

   

  A) Let's use the relation

       y = y₀ + v₀ t - ½ g t²

It is released its initial velocity is zero and when it reaches the ground its height is zero (y = 0)

       0 = y₀ + 0 - ½ g t²

       t = [tex]\sqrt{\frac{2y_o}{g} }[/tex]

       t = [tex]\sqrt{\frac{2 \ 20}{9.8} }[/tex]

       t = 2 s

B) the speed when reaching the ground

       v = v₀ - g t

       v = 0 - 9.8 2

       v = - 19.6 m / s

The negative sign indicates that the speed is down

In conclusion using the kinematic relations we can find the results for the different questions are:

   1.  The acceleraations is a = 375 m/s²

   2. The time is t = 62.5 s

   3. The velocity at the ground is  v = -14.7 m / s

   4.  The time to the bottoncliff is    1.7 s

   5.  The height isy₀ = 122.5 m

   6.

      A) The velocity is v = 25.2 m / s

      B)  The height  for t=1 s is  y = 18.1 m

  7)

      A)  Time in the air is t = 2 s

      B)  Te final veloicty is   v = - 19.6 m / s

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A wave has a speed of 150 m/s and a frequency of 60 Hz. What is the wavelength of this wave in metres?

Answers

Answer:

wavelength = 2.5 m

Explanation:

λ=. v/f

= [tex]\frac{150m/s}{60Hz} = 2.5m[/tex]

what is the force of a punch if it accelerates at 0.2m/s2 and has a mass of 2kg?​

Answers

Answer:

0.4 N

Explanation:

We know ,

F = maF = 0.2 * 2 NF = 0.4N

Please help with number 24

Answers

Answer:

I think its false cause with a slope you have acceleration


EXPLAIN: Why must you reduce friction
order to move certain objects?

Answers

Friction is one of the forces working against a moving object, it makes it harder to move the more friction is exerted on the object. So, by reducing friction, you are making it easier for you to be able to move objects.

when two charged particles interact there is an ____how do the coils impact the strength of the magnetic field

Answers

when two charge particles interact

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