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Natasha2012 [34]
2 years ago
10

A ball of 0.1kg is thrown straight up into the air with

Physics
1 answer:
Contact [7]2 years ago
7 0

a) The momentum of the ball at the maximum height is zero

b) The momentum of the ball at halfway is 1.06 kg m/s

Explanation:

a)

There is only one force acting on the ball during its motion: the force of gravity, acting downward. As a result, the ball hasa constant acceleration downward (g=9.8 m/s^2, acceleration of gravity), and therefore it is in free fall motion.

This means that the velocity of the ball is given by the equation:

v=u-gt

where

v is the velocity at time t

u = 15 m/s is the initial velocity

g=9.8 m/s^2

As we see from the equation, the term -gt is negative: this means that as the ball goes higher and higher, its velocity decreases. The point of maximum height is reached when the velocity has become zero (after that point, the velocity changes direction and points downward), so when

v=0

The momentum of the ball at any point is given by

p=mv

where m = 0.1 kg is its mass. Therefore, at the maximum height, since v=0, the momentum is also zero:

p=0

b)

We can use the following suvat equation to find the maximum height reached by the ball:

v^2-u^2=2as

where

v = 0 is the velocity at the point of maximum height

u = 15 m/s is the initial velocity

a=-g=-9.8 m/s^2 is the acceleration (downward)

s is the vertical displacement (the maximum height)

Solving for s,

s=\frac{v^2-u^2}{2a}=\frac{0-(15)^2}{2(-9.8)}=11.48 m

This means that the ball is halfway when its height is

h'=\frac{s}{2}=\frac{11.48}{2}=5.74 m

We can find the velocity of the ball v' when it is at h' by using again the same equation:

v'^2-u^2=2ah'\\v=\sqrt{u^2+2ah'}=\sqrt{(15)^2+2(-9.8)(5.74)}=10.6 m/s

And therefore, the momentum of the ball here is

p'=mv'=(0.1)(10.6)=1.06 kg m/s

Learn more about momentum:

brainly.com/question/7973509

brainly.com/question/6573742

brainly.com/question/2370982

brainly.com/question/9484203

#LearnwithBrainly

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Answer:

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v(m/s)   280     2200      17780     39682

Explanation:

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in the mentioned materials they are constant  

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B           1 10⁵    2.2 10⁹    140 10⁹   0.05 10⁹

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2 years ago
What is the acceleration of Romeo’s 900 kg horse if it moves with a force of 9000 N?
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Answer:

<h2>10 m/s.</h2>

Explanation:

a = F/m where a = acceleration, F = Force, and m = mass

a = 9000N/900kg

a = 10 m/s

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The wavelength of the yellow light from a sodium flame is 589 nm. This light originated from a sodium atom in the hot flame.
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From wave speed formula, period is 1.96 × 10^-15  seconds per cycle and the frequency is 5.1 × 10^14 Hertz

<h3>What is Frequency ?</h3>

The frequency of a wave is the number of complete revolution per second made by a vibrating body.

Given that the wavelength of the yellow light from a sodium flame is 589 nm. This light originated from a sodium atom in the hot flame.

(a) In the sodium atom from which this light originated, the period of the simple harmonic motion which was the source of this electromagnetic wave will be found by using the formula

v = λ/T

Where

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  • λ = wavelength = 589 × 10^-9 m
  • T = period

Substitute all the parameters

300000000 = 589 × 10^-9/T

T = 589 × 10^-9/300000000

T = 1.96 × 10^-15  seconds per cycle.

(b) The frequency of this light wave is the reciprocal of its period. That is,

F = 1/T

F = 1/1.96 × 10^-15

F = 5.1 × 10^14 Hertz

Therefore, the period of the wave is 1.96 × 10^-15  seconds per cycle and its frequency is 5.1 × 10^14 Hertz

Learn more about Light Wave here: brainly.com/question/10728818

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