super mario, spying a mystery block just ahead and wanting star power, takes a running leap towards the block, which is a distance of 8.2 m above mario's head. the acceleration due to gravity in the mushroom kingdom is roughly 1/5th of that on earth, gmk

Answers

Answer 1
Answer:

The time taken by Super Mario  is 2.91 seconds to reach the mystery block.

To find the time it takes for Super Mario to reach the mystery block, we can use the kinematic equation:

∆y = v0t + (1/2)at2

Where ∆y is the change in a vertical position, v0 is the initial vertical velocity, a is the acceleration due to gravity, and t is the time.

Since the mystery block is 8.2 m above Mario's head, ∆y = 8.2 m. The initial vertical velocity, v0, is 0 m/s since Mario is starting from rest. The acceleration due to gravity in the Mushroom Kingdom, gmk, is 1/5th of that on Earth, so

a = (1/5)g = (1/5)(9.8 m/s2)

a = 1.96 m/s2.

Plugging these values into the equation, we get:

8.2 m = (0 m/s)t + (1/2)(1.96 m/s2)t2

Simplifying and rearranging, we get:

t2 = (8.2 m)/(0.98 m/s2)

Taking the square root of both sides, we get:

t = √((8.2 m)/(0.98 m/s2)) = 2.91 s

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Gaya 7,5 dikerjakan pada masa sebesar 3 kg sehingga kelajuannya berubah dari 65 cm/s menjadi 15 m/s maka waktu yang dibutuhkan adalah
A student releases a block of mass m at the top of a slide of height h1. the block moves down the slide and off the end of the table of height h2, landing on the floor a horizontal distance d from the edge of the table. Friction and air resistance are negligible. The overall height H of the setup is determined by the height of the room. Therefore, if h1 is increased, h2 must decrease by the same amount so that the sum h1+h2 remains equal to H. The student wants to adjust h1 and h2 to make d as large as possible.A) 1) Without using equations, explain why making h1 very small would cause d to be small, even though h2 would be very large?2) Without using equations, explain why making h2 very small would cause d to be small, even thoughh1 would be largeB) Derive an equation for d in terms of h1, h2, m, and physical constants as appropriate.
How does wavelength relate to frequency?

A hailstone traveling with a velocity of 43 meters/second comes to a virtual stop 0.28 seconds after hitting water. What is the magnitude of its acceleration in the water?A. 12 meters/second2
B. 1.5 × 102 meters/second2
C. 78.6 meters/second2
D. 6.5 × 10-3 meters/second2

Answers


Magnitude of acceleration = (change in speed) / (time for the change) .

Change in speed = (ending speed) - (starting speed)

                            =       zero            - (43 m/s)

                            =          -43 m/s .

Magnitude of acceleration = (-43 m/sec) / (0.28 sec)

                                          =  (-43 / 0.28)  (m/sec) / sec

                                          =        153.57...  m/s²

                                          =        1.5...  x 10²  m/s²  .

Answer:

1.5*10^2 meters/seconds^2

Explanation:

I got 100% on my test

Moving waves can be described either as a function of time or as a function ofa. amplitude.
b. frequency.
c. speed.
d. position.

Answers

a. amplitude. is the answer

Final answer:

Moving waves can be described either as a function of time or as a function of d.position.

Explanation:

Moving waves can be described either as a function of time or as a function of position.

When described as a function of time, waves are represented by their amplitude and frequency. Amplitude is the maximum displacement of the wave from its equilibrium position, while frequency is the number of complete cycles of the wave occurring in one second.

When described as a function of position, waves are represented by their wavelength and speed. Wavelength is the distance between two consecutive points in a wave that are in phase, while speed is the rate at which the wave propagates through a medium.

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The moon's mass is 7.35 × 1022 kg, and it moves around the earth approximately in a circle or radius 3.82 × 105 km. The time required for one revolution is 27.3 days. Calculate the centripetal force that must act on the moon. How does this compare to the gravitational force that the earth exerts on the moon at that same distance?

Answers

Explanation:

It is given that,

Mass of moon, m=7.35* 10^(22)\ kg

Radius of circle, r=3.82* 10^(5)\ km=3.82* 10^(8)\ m

The time required for one revolution is 27.3 days, t = 27.3 days

1 day = 86400 seconds

27.3 days = 2358720 seconds

Let v is the speed of moon around the circular path. It is given by :

v=(2\pi r)/(T)

v=(2\pi * 3.82* 10^(8)\ m)/(2358720\ s)

v = 1017.57 m/s

Let F is the centripetal force acting on the moon. It is given by :

F=(mv^2)/(r)

F=(7.35* 10^(22)\ kg* (1017.57\ m)^2)/(3.82* 10^(8)\ m)

F=1.99* 10^(20)\ m/s^2

So, the centripetal force that must act on the moon is 1.99* 10^(20)\ m/s^2. The gravitational force that the earth exerts on the moon at that same distance is also equal to 1.99* 10^(20)\ m/s^2. Hence, this is the required solution.

A train traveling at 82.8 kilometers per hour is blowing its horn as it approaches you. The horn has a frequency of 312 Hz. Assume the speed of the sound is 331 m/s. What is the observed frequency of the horn?335 Hz
312 Hz
292 Hz
412 Hz

Answers

The answer is 335 Hz.

To calculate this, we will use the following formula:
f₀ = f × v ÷ (v - v₁)
where:
f₀ - frequency heard
f - actual frequency
v - speed of sound
v₁ - speed of source

We know:
f = 312 Hz
v = 331 m/s
v₁ = 82.8 km/h = 23 m/s

We need:
f₀ = ?

f₀ = f × v ÷ (v - v₁)
⇒ f₀ = 312 Hz x 331 m/s ÷ (331 m/s - 23 m/s)
⇒ f₀ = 312 Hz × 331 m/s ÷ 308 m/s
⇒ f₀ = 335.3 Hz ≈ 335 Hz

Thus, the frequency of the horn is 335 Hz.

Answer:

335 Hz

Explanation:

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Think about multiplying the mass of each student by a factor to calculate each student’s kinetic energy. Is there a common factor that works for every student? If so, what’s this factor?

Answers

Answer:

KE= (1/2)mv^2

given m, the remaining components of the equation are=

1/2v^2?

Explanation:

KE= (1/2)mv^2

plug in...

=(1/2)(27 kg)(3 m/s)^2= 121.5

KE= 121.5 J

Answer:

Multiplying the mass of any student by a factor of 4.5 gives the kinetic energy of the student.

A 360-N child is in a swing that is attached to a pair of ropes 1.90 m long. Find the gravitational potential energy of the child–Earth system relative to the child's lowest position at the following times.

Answers

Answer:

684J

Explanation:

So basically the formula for gravitational potential energy is Mass X Gravity X height. That is G.p.e = mgh

We don't have the mass but since we have the height, we multiply directly with the height since the quantity of weight is already given.

so G.p.e = 360 X 1.9 = 684J

Note that; The answer is in joules because g.p.e is work done.

Hope that was helpful!!