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xenn [34]
2 years ago
8

What is the total kinetic energy of a 0.15 kg hockey puck sliding at 0.5 m/s and rotating about its center at 8.4 rad/s? The dia

meter of the hockey puck is 0.076 m.
Physics
1 answer:
ycow [4]2 years ago
4 0
The mass of the puck is
m = 0.15 kg.
The diameter of the puck is 0.076 m, therefore its radius  is
r = 0.076/2 = 0.038 m
The sliding speed is
v = 0.5 m/s
The angular velocity is
ω = 8.4 rad/s

The rotational moment of inertia of the puck is
I = (mr²)/2
  = 0.5*(0.15 kg)*(0.038 m)²
  = 1.083 x 10⁻⁴ kg-m²

The kinetic energy of the puck is the sum of the translational and rotational kinetic energy.
The translational KE is
KE₁ = (1/2)*m*v²
       = 0.5*(0.15 kg)*(0.5 m/s)²
       = 0.0187 j

The rotational KE is
KE₂ = (1/2)*I*ω²
       = 0.5*(1.083 x 10⁻⁴ kg-m²)*(8.4 rad/s)²
       = 0.0038 J

The total KE is
KE = 0.0187 + 0.0038 = 0.0226 J

Answer: 0.0226 J


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A tennis player who is recovering from an ankle injury and is not allowed to change directions can maintain her cardio fitness level by using the rowing machine, the stationary bike with one leg, or swimming. These activities do not require a change in direction. These activities will not give strain to the injured part.
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2 years ago
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An engine does 15.0 kj of work while exhausting 37.0 kj to the cold reservoir. What is the efficiency of the engine?
Nataliya [291]

Answer:

28.8 %

Explanation:

The efficiency of an engine is given by:

\eta = \frac{W}{Q_{in}}

where

W is the useful work done

Q_in is the heat in input

For this machine, we have

W = 15.0 kJ is the work done

37.0 kJ is the heat exchausted to the cold reservoir, so the total amount of heat in input is

Q_{in} = 15.0 kJ + 37.0 kJ=52.0 kJ

And so the efficiency is

\eta=\frac{15.0 kJ}{52.0 kJ}=0.288

which corresponds to 28.8 %.

5 0
2 years ago
The formula for calculating power is work divided by time (power = work ÷ time). What are two ways of stating the same relations
nirvana33 [79]
I think they just want you to rewrite it two other ways:

4 0
2 years ago
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A helicopter is traveling at 86.0 km/h at an angle of 35° to the ground. What is the value of Ax? Round your answer to the neare
arsen [322]

First thing plot a right angle with angle of elevation of 35degrees as shown in figure then use SOHCAHTOA.

Ay/Helicopter = sin 35

Ay = 86 sin 35 = 36.8237

Ax/Helicopter = cos 35

Ax = 86 cos 35 = 77.7175

Note: I ignore the negative signs coz they signify direction



4 0
2 years ago
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Q1: A runner is jogging in a straight line at a steady vr= 6.8 km/hr. When the runner is L= 2.4 km from the finish line, a bird
serious [3.7K]

Answer:

Q1: 3.2km

Q2: 4.8K

Explanation:

Q1:

So db is the distance of bird, and dr is the distance of runner

db = 2vr  and the distance of bird is going to be 2 times greater than the runner.

formulas: db = 2vr & db = 2dr

  1. db = 2dr
  2. L + (L - x) = 2x
  3. 2L - x = 2x
  4. 2L = 3x
  5. x = \frac{2}{3}L

Insert it in x = \frac{2}{3}L

\frac{2}{3}(2.4km) = 1.6km

Now we use formula db = 2dr

  1. db = 2L - x
  2. db = 2(2.4km) - 1.6km
  3. <u>db = 3.2km</u>

Q2:

Formulas: Vr = L /Δt & Vb = db/Δt

  1. Vr = L/ Δt ⇒ Δt = \frac{L}{Vr}
  2. \frac{2.4km}{6.8km/hr}
  3. \frac{6}{17}hr

(Km cancel each other)

  1. Vb = db/Δt ⇒ db = VbΔt
  2. 13.6km/hr(\frac{6}{17}hr )
  3. <u>4.8km</u>

(hr cancel each other)

Hope it helps you :)

6 0
2 years ago
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