5.1 Plan a movement lesson in which you include two gross motor activities to enhance the learning of mathematics and two gross motor
activities to enhance language development. ​

The lenght of the missing side is 29.41 ft.

To calculate the missing length of the triangle, we use pythagoras theorem.

Pythagoras theorem states that in a right angle triangle, the square the hypotenus is equal to the sum of the square of the two other sides.

These can be expressed mathematically as

From the question,

Substitute these values into equation 1

Hence, the lenght of the missing side is 29.41 ft.

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The instantaneous velocity of the object is 36 m/s

The given displacement equation of motion;

\(d(t) = 3t(t+2 )\)

To find:

the instantaneous velocity after 5 s;

The instantaneous velocity is the change in displacement per change in time of motion at the given time.

\(v = \frac{d.d(t)}{dt} = 6t + 6\)

at t = 5 seconds, v = 6(5) + 6 = 36 m/s

Thus, the instantaneous velocity of the object is 36 m/s

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Answer:

\( \fbox{strength \: of \: the \: other \: charge = - 0.0196 Ke \: Coulomb}\)

Explanation:

Given:

Force between pair of charges= 900 newtons

The distance between the charges = 0.01 meters

Strength of Charge first q1 = 2e-10 Coulomb

To find:

Strength of Charge second q2 = ____ Coulomb?

Solution:

We know that,

Force between two charges separate by distance r is given by the equation,

\(|F| = K_e \frac{q1 \cdot \: q2}{ {r}^{2} } \\ 900 =K_e \frac{(2e - 10)\cdot \: q2}{ {0.01}^{2} } \\ 900 \times {10}^{ - 4} = K_e {(2e - 10)\cdot \: q2} \\ q2 = \frac{9 \times {10}^{ - 2} }{(2e - 10) K_e} \\ \\ \fbox{We \: know \: that \: e = 2.71 } \\ substituting \: the \: value \: \\ q2 = \frac{9 \times {10}^{ - 2} }{(2 \times 2.71 - 10)K_e} \\ q2 = \frac{0.09}{ - 4.58 K_e} \\ q2 = \frac{-0.0196}{K_e}\: coulomb\)

\( \fbox{strength \: of \: the \: other \: charge = - 0.0196 Ke \: Coulomb}\)

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Answer:

Explanation is given

Mark Me as Branliest

Answer:time in seconds spent for traveling=3×30×24×60×60

. = 7776000 seconds

distance= velocity× time.

. =15×7776000

. =116640000

. =116640km

Explanation:

Answer:

Explanation:

Decision making is the process of making choices and it is important for a person to make their own decisions in life as it makes them accountable for the choices they made.

What is decision making?

Decision making is the process of making your own choices by identifying a decision, gathering the information, and assessing alternative resolutions for the decision.

Each person has the right to make their own decisions and have choices about how they live their life in their own way. Each person has different ideas about what is important and what makes them feel best in life. Making own choices about things in life is very important because it gives the life meaning.

Being responsible in making own decisions means being accountable, taking charge of the course of the actions and the consequences of choices, however it is also important to turn to others in cases of making decisions about health as this helps in making the best decision by understanding things from other perspectives.

Answer:

Below

Explanation:

Fg = G m1 m2 / r^2      Gravitational constant = 6.6743 x10^-11  m^3 /(kg s^2)

  PLug in the given numbers:

Fg = 6.6743 x 10^-11  (1 kg)(8.5x10^26 kg) / (3.5 x10^7 m)^2

    = 46.3 m/s^2

Answer:

If this is Pre-Algebra or Algebra.

Arithmetic mean (average) = Sum of values/Number of values.

Explanation:

The final temperature of the water and copper pellets is 43.8°C.

We can use the equation:

\(mc\Delta T = mwCw\Delta T\)

Substituting the values given in the problem:

m c = 28 g

m w = 90 mL = 90 g

c = 0.385 J/g°C

Cw = 4.18 J/g°C

ΔT = T f - 25°C

where T f is the final temperature of the water and copper pellets.

Simplifying the equation:

28 g x 0.385 J/g°C x (T f - 300°C) = 90 g x 4.18 J/g°C x (T f - 25°C)

Solving for T f:

T f = (90 g x 4.18 J/g°C x 25°C + 28 g x 0.385 J/g°C x 300°C) / (90 g x 4.18 J/g°C + 28 g x 0.385 J/g°C)

T f = 43.8°C

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--The complete Question is, What are the final temperature of the water and the copper pellets after thermal equilibrium is reached, assuming no heat is lost to the surroundings?  --

3.2 seconds

Explanation

Step 1

convert all measures in m.s.k system

so

Step 2

now, to figure out this we need to use the free fall formula:

hence, replace

Now, let's solve for t

therefore, the answer is

3.2 seconds

I hope this helps you

Here the total momentum of the vehicles is conserved during even after the collision. The two cars are not moving after, hence their final momentum is zero which means, the have equal and opposite momentum. Hence, the initial speed of B were,  37 mph.

Momentum of an object is the product of the mass and velocity of the object. It is a vector quantity and having both direction and magnitude.

Given mass of A = 1350 lbs

v = 52 mph

then momentum =  1350 lbs × 52 mph = 70200 lbs mph

Mass of B = 1893 lbs

let its velocity be v .

then momentum = 1893 v.

According to conservation of momentum:

m1u1 + m1 u2 = (m1+ m2) v

The cars are not moving after the collision. Hence, the final speed is zero.

then,  70200 lbs mph +   1893 v = 0

70200 lbs mph = - 1893 v

v = 70200 lbs mph  /1893 lbs

  = 37 mph.

Therefore, the velocity of the car B is 37 miles per hour.

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Answer:

The magnitude of the force that the 6.3 kg block exerts on the 4.3 kg block is approximately 41.9 N

Explanation:

Forces on block 4.3 kg are:

63N to the right and R21 (contact force from the 6.3 kg block) to the left

Net force on 4.3 kg block is: 63 N - R21

Forces on the 6.3 kg block are:

R12 to the right (contact force from the 4.3 kg block) and 11 N to the left.

So net force on the 6.3 kg block is: R12 - 11 N

According to the action-reaction principle the contact forces R21 and R12 must be equal in magnitude (let's call them simply "R").

Then, since the blocks are moving with the SAME acceleration, we equal their accelerations:

a1 = (63 N - R)/4.3 = (R - 11 N)/6.3 = a2

solve for R by cross multiplication

6.3 (63 - R) = 4.3 (R - 11)

396.9 - 6.3 R = 4.3 R - 47.3

369.9 + 47.3 = 10.6 R

444.2 = 10.6 R

R = 444.2 / 10.6

R = 41.90 N

Answer:

work

Explanation:

To calculate the speed of the electrons in terms of the speed of light, we can use the relativistic kinetic energy equation:

KE = (γ - 1)mc^2

where KE is the kinetic energy of the electron, m is its rest mass, c is the speed of light, and γ is the Lorentz factor:

γ = 1/√(1 - v^2/c^2)

where v is the velocity of the electron.

To find v, we can use the relationship between kinetic energy and voltage:

KE = qV

where q is the charge of the electron and V is the voltage difference.

Substituting qV for KE, we get:

qV = (γ - 1)mc^2

Rearranging, we get:

γ = 1 + qV/mc^2

Substituting q = -1.6 x 10^-19 C (the charge of the electron), V = 295 kV, and m = 9.11 x 10^-31 kg (the rest mass of the electron), we get:

γ = 1 + (-1.6 x 10^-19 C)(295 x 10^3 V)/(9.11 x 10^-31 kg)(3 x 10^8 m/s)^2

γ = 1.344

Finally, we can calculate the speed of the electrons in terms of the speed of light:

γ = 1/√(1 - v^2/c^2)

1.344 = 1/√(1 - v^2/(3 x 10^8 m/s)^2)

Squaring both sides and solving for v, we get:

v = 0.9964c

Therefore, the speed of the electrons is 0.9964 times the speed of light

(a)The units for weight are typically expressed in Newtons (N), while mass is measured in kilograms (kg).

(b)The weight of Curiosity on Earth is approximately 8820 Newtons.

a) The relationship between weight (P) and mass (m) is given by the formula P = m * g, where g represents the acceleration due to gravity. The units for weight are typically expressed in Newtons (N), while mass is measured in kilograms (kg).

b) To calculate the weight of Curiosity on Mars, we need to determine the acceleration due to gravity on Mars. The acceleration due to gravity on Mars is approximately 3.71 m/s². Using the weight formula, we have P = m * g = 900 kg * 3.71 m/s² = 3339 N. Therefore, the weight of Curiosity on Mars is approximately 3339 Newtons.

c) The weight of Curiosity on Earth is significantly greater compared to its weight on Mars. On Earth, the acceleration due to gravity is approximately 9.8 m/s². Using the weight formula, we have P = m * g = 900 kg * 9.8 m/s² = 8820 N. Therefore, the weight of Curiosity on Earth is approximately 8820 Newtons.

The difference in weight between Earth and Mars is important because weight is directly related to the force of gravity. The greater weight on Earth indicates a stronger gravitational force, which affects the overall dynamics and requirements for missions like Curiosity.

It affects the launch and landing processes, the structural integrity of the spacecraft, the fuel and energy requirements, and the ability to conduct experiments and operate the robotic systems effectively. Understanding these differences is crucial for mission planning, spacecraft design, and mission success.

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Answer

.0003

Explanation:

Explanation:

after rereading: Yes, there is a term for water on the moon and it's called lunar water, pretty straightforward. you can check out moon.nasa.gov, or literally look this up in the magical (g-engine) and it'll gove you a few articles.

______________________

oh my, sorry, i thought the question asked if the moon moved water, in which case: I wouldn't say that the moon actually MOVES the water, but yes, its gravitational force is strong enough to affect tides on Earth. (i could've sworn that's what I saw but whatever, sorry!)

Answer:

gravity pulls down on student the chair pushes up on the student's body with the same force gravity is pulling down on the student

Mechanical energy changes when a roller coaster starts at a height of 40 meters and reaches a height of 20 meters. The potential energy decreases, while the kinetic energy increases.

When a roller coaster starts at a height of 40 meters and reaches a height of 20 meters, mechanical energy changes. In physics, mechanical energy is the sum of potential and kinetic energy that is present in the objects. When an object is moved, it gains or loses energy, thus the mechanical energy changes. There are two forms of mechanical energy, namely kinetic energy and potential energy. Kinetic energy is the energy that a moving object possesses due to its motion, while potential energy is the energy that an object possesses due to its position or shape.
In the case of a roller coaster, when it starts at a height of 40 meters, it has potential energy that is equal to its mass multiplied by the acceleration due to gravity multiplied by its height. As it moves down the track, the potential energy gets converted into kinetic energy, which is the energy of motion. When the roller coaster reaches a height of 20 meters, it has a lower potential energy compared to when it started. The difference in potential energy is equal to the amount of work done by the force of gravity in bringing the roller coaster down from a height of 40 meters to a height of 20 meters. At the same time, the roller coaster has a higher kinetic energy than when it started, as it gained speed during the descent.
Therefore, in summary, mechanical energy changes when a roller coaster starts at a height of 40 meters and reaches a height of 20 meters. The potential energy decreases, while the kinetic energy increases.

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Gerard's average velocity for the ride is 6 meters per second.

To find Gerard's average velocity for the ride, we can use the formula:

Average velocity = Total displacement / Total time

First, we need to convert the distance traveled from kilometers to meters:

7.20 kilometers * 1000 = 7200 meters

Next, we convert the time from minutes to seconds:

20.0 minutes * 60 = 1200 seconds

Now, we can calculate the total displacement by subtracting the initial position from the final position. Since Gerard is riding directly east, there is no change in the east-west direction, so the displacement is equal to the distance traveled:

Total displacement = 7200 meters

Finally, we substitute the values into the average velocity formula:

Average velocity = 7200 meters / 1200 seconds

Average velocity = 6 meters per second

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The girl can go up the escalator by 2 meters in 2 minutes if a girl runs up the down escalator in the mall and escalator is moving with a velocity of 27 m/min and the girl is running with a velocity of 28 m/min,

When the girl runs up the down escalator, her effective velocity is the difference between her velocity and the velocity of the escalator. In this case, the escalator is moving down with a velocity of 27 m/min, while the girl is running up with a velocity of 28 m/min. So, her effective velocity is:

Effective velocity = Girl's velocity - Escalator's velocity

= 28 - 27

= 1 m/min

Therefore, the girl is moving up the escalator at a speed of 1 m/min.

To calculate how far up the escalator she can go in 2 minutes, we need to use the formula:

Distance = Speed x Time

In this case, the speed is the effective velocity of the girl, which is 1 m/min, and the time is 2 minutes. So, the distance she can go up the escalator is:

Distance = Speed x Time

= 1 x 2

= 2 meters

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Answer:

yes it is possible

Explanation:

if the body is travelling with uniform speed in a circular track its speed remains the same but the velocity is non-uniform as the direction of the body is changing every time.

eg: a body in uniform circular motion has constant speed but its velocity changes at every point during the course of motion. Whenever, the direction changes, velcoity changes.

Answer:

A paradox is a statement, proposition, or situation that seems illogical, absurd or self-contradictory, but which, upon further scrutiny, may be logical or true — or at least contain an element of truth. Paradoxes often express ironies and incongruities and attempt to reconcile seemingly opposing ideas.

Explanation:

hope this help :)

Answer:

D

Explanation:

transparent_objects that allows light to pass through and can you see through them

The radial acceleration of the ball of mass 1.2 kg that is suspended by two wires from a horizontal arm, which is attached to a vertical shaft is 4.9 m / s²

Since the wires form a right angled triangle with the horizontal arm,

tan θ = Opposite side / Adjacent side

tan θ = 0.6 / 0.8

θ = \(tan^{-1}\) ( 0.75 )

θ = 36.9°

m = 1.2 kg

W = m g

W = 1.2 * 9.8

W = 11.76 N

T1 = T2 = T

∑ \(F_{y}\) = 0

T1 + T2 sin θ - W = 0

T + T sin 36.9° - 11.76 = 0

T + 0.6 T = 11.76

T = 11.76 / 1.6

T = 7.35 N

\(F_{c}\) = m v² / r

\(F_{c}\) = Centripetal force

∑ \(F_{x}\) = m v² / r

T cos 36.9° = m * \(a_{r}\)

\(a_{r}\) = 7.35 * 0.8 / 1.2

\(a_{r}\) = 4.9 m / s²

Therefore, the radial acceleration of the ball = 4.9 m / s²

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Answer:

Assuming the speed of the plane is 39.6 m/s

vy = 39.6 * sin 30 = 19.8 vertical speed

vx = 39.6 * cos 30 = 34.3 m/s

S = vy t - 1/2 a t^2    to calclulate vertical height

-287 = 19.8 t - 4.9 t^2

4.9 t^2 -19.8 t - 287 = 0

I get t = 9.93 for solving the quadratic for time for ball to hit ground

Horizontal distance = 34.3 m/s * 9.93 s = 341 m

With a vertical speed of 19.9 m/s it takes 19.8 / 9.8 = 2.02 s to reach max height

You can again solve a quadratic or use 19.8 / 2 * 2.02 for time to reach vertical height         H = 287 + 20 = 307 m

As a check 307 = 1/2 g t^2 = 4.9 * (9/93 - 2/02)^2 = 307 m  max height

After you know how long the ball is in the air there are several ways to calculate the other values.