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Sergio039 [100]
2 years ago
10

A ball which is thrown upward

Physics
2 answers:
vodka [1.7K]2 years ago
8 0

Answer:

44.27 m/s

Explanation:

Let's set the upwards direction to be positive and the downwards direction to be negative.

Since we do not know the final velocity of the ball right before it hits the ground, we will use our knowledge that the final velocity of the ball is 0 m/s right before it changes direction to fall back to the ground.

  • a = -9.8 m/s²
  • Δy = 100 ft
  • v = 0 m/s
  • v₀ = ?

Find what constant acceleration equation contains all four variables.

  • v² = v₀² + 2aΔy

Substitute the known variables into the equation and solve for v₀, the initial velocity.

  • (0)² = v₀² + 2(-9.8)(100)
  • 0 = v₀² - 1960
  • 1960 = v₀²
  • v₀ = 14√10 = 44.27188724

The initial velocity of the ball 44.27 m/s.

Alex777 [14]2 years ago
4 0

Answer:

44.27 m/s

Explanation:

Let's set the upwards direction to be positive and the downwards direction to be negative.

Since we do not know the final velocity of the ball right before it hits the ground, we will use our knowledge that the final velocity of the ball is 0 m/s right before it changes direction to fall back to the ground.

a = -9.8 m/s²

Δy = 100 ft

v = 0 m/s

v₀ = ?

Find what constant acceleration equation contains all four variables.

v² = v₀² + 2aΔy

Substitute the known variables into the equation and solve for v₀, the initial velocity.

(0)² = v₀² + 2(-9.8)(100)

0 = v₀² - 1960

1960 = v₀²

v₀ = 14√10 = 44.27188724

The initial velocity of the ball 44.27 m/s.

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A roller coaster car starts from rest at the top of a hill 15 m high and rolls down to ground level. From there it starts into a
Softa [21]

Answer:

955.5N

Explanation:

The normal force is given by the difference between the centripetal force and gravity at the top of the loop:

F_N = F_C - F_G = m\frac{v^{2} }{r} - mg

mass m = 65kg

radius of the loop r = 4m

velocity v = ?

g = 9.8 m/s²

To find the centripetal force, you need to find the velocity of the car at the top of the loop.

Use energy conservation:

E_{tot}=mgh + \frac{1}{2} mv^{2}

At the top of the hill:

E_{tot}= mgh_{hill}

At the top of the loop:

E_{tot}=mgh_{loo}_p +\frac{1}{2} m v^{2}

Setting both energies equal and canceling the mass m gives:

gh_{hill} = gh_{loo}_p + \frac{1}{2} v^{2}

Solving for v:

v^{2} = 2g(h_{hill}-h_{loo}_p)

Using v in the first equation:

F_N = \frac{2mg(h_{hill}-h_{loo}_p)}{r} - mg

F_N = 955.5N

7 0
3 years ago
Anger is to angry as fire is to what
finlep [7]
<span>Anger is to angry as fire is to blazing. </span>
4 0
2 years ago
Consider two diffraction gratings with the same slit separation. The only difference between the two gratings is that one gratin
kobusy [5.1K]

Answer:

True The grid with more slits gives more angle separation increases

True. The grating with 10 slits produces better-defined (narrower) peaks

Explanation:

Such a system can be seen as a diffraction network in this case with different number of lines per unit length, the expression for the constructive interference of a diffraction network is

      d sin θ = m λ

where d is the distance between slits or lines, m the order of diffraction and λ the wavelength.

For network with 5 slits

      d = 1/5 = 0.2

For the network with 10 slits

      d = 1/10 = 0.1

let's calculate the separation (teat) for each one

      θ = sin⁻¹ (m λ / d)

for 5 slits

     θ₅ = sin⁻¹ (m λ 5)

for 10 slits

     θ₁₀ = sin⁻¹ (m λ 10)

we can appreciate that for more slits the angle increases

the intensity of a series of slits is

       I = I₀ sin²2 (N d/2) / sin² d/2)

when there are more slits (N) the peaks have greater intensity and are more acute (half width decreases)

let's analyze the claims

False

True The grid with more slits gives more angle separation increases

False

True The expression for the intensity of the diffraction peaks the intensity of the peaks increases with the number of slits as well as their spectral width decreases

False

5 0
3 years ago
The most soaring vocal melody is in Johann Sebastian Bach's Mass in B minor. In one section, the basses, tenors, altos, and sopr
OlgaM077 [116]

Answer:

Detailed step wise solution is attached below

Explanation:

(a) wavelength of the initial note 2.34 meters

(b) wavelength of the final note 0.389 meters

(d) pressure amplitude of the final note 0.09 Pa

(e) displacement amplitude of the initial note 4.78*10^(-7) meters

(f) displacement amplitude of the final note 3.95*10^(-8) meters

6 0
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How does a solenoid convert energy from one form to another?​
SIZIF [17.4K]

Answer:

A solenoid is a device comprised of a coil of wire, the housing and a moveable plunger (armature). When an electrical current is introduced, a magnetic field forms around the coil which draws the plunger in. More simply, a solenoid converts electrical energy into mechanical work.

Explanation:

The coil is made of many turns of tightly wound copper wire. When an electrical current flows through this wire, a strong magnetic field/flux is created.

The housing, usually made of iron or steel, surrounds the coil concentrating the magnetic field generated by the coil.

The plunger is attracted to the stop through the concentration of the magnetic field providing the mechanical force to do work.

6 0
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