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dsp73
3 years ago
7

An outfielder throws a 1.1 kg baseball at a speed of 62 m/s and an initial angle of 12.3 ◦ . What is the kinetic energy of the b

all at the highest point of its motion? Answer in units of J.
Physics
1 answer:
Monica [59]3 years ago
6 0

Answer:

= 2,018.3 J

Explanation:

mass (m) = 1.1 kg

velocity (v) = 62 m/s

initial angle(θ) = 12.3°

kinetic energy = 0.5mv^{2}

where

  • m is the mass
  • v is the velocity, which has two components

      v = Vx + Vy  (horizontal component + vertical component)

      at the maximum height, velocity is 0, so Vy = 0 and v= Vx

      v = Vx = v.cosθ

      v = 62 x cos 12.3 = 60.6 m/s

therefore kinetic energy = 0.5mv^{2} = 0.5x1.1x60.6^{2}

= 2,018.3 J

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The half-life of an anticancer drug is 170 days at 25 oC. Degradation follows the first-order kinetics. When the drug is stored
julsineya [31]

Answer:

1694 days

Explanation:

In first-order kinetics, the rate is proportional to the amount.

dA/dt = kA

For first-order kinetics, the rate k can be found using the half-life:

t₁,₂ = (ln 2) / k

In other words, the half-life is inversely proportional with the rate.

At the lower temperature, the rate is reduced to a third, so the half-life increases by a factor of 3.  Meaning that the new half-life is 170 × 3 = 510 days.

The "shelf life" is the time it takes to reduce the initial amount to 10%.  We can solve for this using the half-life equation.

A = A₀ (½)^(t / t₁,₂)

A₀/10 = A₀ (½)^(t / 510)

1/10 = (½)^(t / 510)

ln(1/10) = (t / 510) ln(½)

ln(10) = (t / 510) ln(2)

ln(10) / ln(2) = t / 510

t = 510 ln(10) / ln(2)

t ≈ 1694

5 0
3 years ago
Earth's curvature causes _____ heating of the surface by sun.<br> (one word)
DIA [1.3K]
The one word you're looking for to fill in the blank
can be "uneven" or "non-uniform".
8 0
2 years ago
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A boy is playing with a ball of mass 72g attached to a string. He is moving it at constant speed in a horizontal circle of radiu
irina [24]

Answer:

Explanation:

radius of circle r = 0.9 m.

(a ) In a motion on circular path , work done is zero because force ( centripetal force ) acts perpendicular to displacement .

( b )

Tension in string T = m ω²r

Putting the values

60 = .072 x ω² x 0.9

ω² = 926

ω = 30.4 rad /s

angle made in 20 revolutions θ = 20 x 2π = 126.6 rad

time taken = θ / ω

= 126.6 / 30.4

= 4.16 s .

3 0
3 years ago
which actions most likely cause the domains within a material to lose their alignment and become more randomized
zimovet [89]

answer:

heating the material

placing the material in a magnetic field of opposite polarity

hitting the material

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3 years ago
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A car is being driven at a rate of 60 ft/sec when the brakes are applied. The car decelerates at a constant rate of 19
Hunter-Best [27]

The car will take 300 m before it stops due to applying break.

<h3>What's the relation between initial velocity, final velocity, acceleration and distance?</h3>
  • As per Newton's equation of motion, V² - U² = 2aS
  • V= final velocity velocity of the object, U = initial velocity velocity of the object, a= acceleration, S = distance covered by the object
  • Here, U = 60 ft/sec, V = 0 m/s, a= -6 ft/sec²
  • So, 0² - 60² = 2×6× S

=> -3600 = -12S

=> S = 3600/12 = 300 m

Thus, we can conclude that the distance covered by the car is 300 m before it stopped.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: A car is being driven at a rate of 60 ft/sec when the brakes are applied. The car decelerates at a constant rate of 6 ft/sec². How long will it take before the car stops?

Learn more about the Newton's equation of motion here:

brainly.com/question/8898885

#SPJ1

7 0
1 year ago
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