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Katen [24]
3 years ago
11

A string is wrapped around a pulley with a radius of 2.0 cm and no appreciable friction in its axle. The pulley is initially not

turning. A constant force of 50 N is applied to the string, which does not slip, causing the pulley to rotate and the string to unwind. If the string unwinds 1.2 m in 4.9 s, what is the moment of inertia of the pulley?
Physics
2 answers:
stiks02 [169]3 years ago
5 0

Answer:

2

Explanation:

2

sveta [45]3 years ago
5 0

Answer:

Moment of inertia = I = 0.2 kg.m^2

Explanation:

According to equation of motion:

s = ½ at^2

a = 2s/t^2

a = (2 × 1.2)/4.9^2 = 0.09996 m/s^2

The Linear and angular acceleration will be:

a =rα

α = a/r = 0.09996/0.02 = 4.9979 rad/s^2

Torque = T = rF = (0.02)(50) = 1 N

Now,

Moment of inertia = I = T/ α = 1/(4.9979) = 0.2 kg.m^2

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A car of mass m=1000kg is traveling at speed v and brakes. The skid marks are 20m long and the coefficient of kinetic friction i
scoray [572]

Answer:

v = 14 m/s

  = 31.3 mph

The answer would be the same if the mass of the car were 2000 kg

Explanation:

Let V be the final velocity of the car after skidding, and v be the initial velocity of the car. Let a be the acceleration of the car and Δx be the distance the car travels after applying brakes (length of the skid marks). Let Fk be the force of friction between the tyres and the road. Let N be the normal force exerted on the car and μ be the co efficient of kinetic friction.

V^2 = v^2 + 2×a×Δx

Now V, the final velocity is zero as the car stops

0 = v^2 + 2×a×Δx

v^2 = -2×a×Δx

v =√-2×a×Δx    .....*

Now applying Newton's Second Law

Fnet = m×a

-Fk = m×a

-μ×N = m×a

-μ×m×g = m×a (The mass cancels out)

a =  -μ×g

Substituting the value of a back to equation *

v = √-2×(-μ×g)×Δx  

v = √-2×(-0.5×9.8)×20

v = 14 m/s

Therefore the speed the car was travelling with v = 14 m/s

which is equal to 31.3 mph

Now if you were to change the mass of the car to 2000 kg the value for v would still be the same. As it is seen above mass cancels out so it does not influence or affect the value of the velocity obtained.

8 0
3 years ago
Baseball reporters say that long fly balls that would have carried for home runs in July "die" in the cool air of Octo- ber and
anastassius [24]

Answer:

Consider the followig calculation

Explanation:

a)  use deal equation:

PV = nRT                      

ρ = m/V,= ==> V = m/ρ

therefore,

ρ = Pm/RT

convert 95 oF in degree

95 oF = 308.15 K

1 atm = 1.013 * 105 pascal

ρ = 1.013*105 * 29 * /8.314 * 308.15

                   = 1.146 kg/m3

b)  again use ideal gas equation:

ρ = Pm/RT

T = 50 oF = 283.15 K

1 atm = 1.013 * 105 pascal

molar mass will be same

ρ = 1.013 * 105 * 29 / 8.314 * 283.15

ρ = 1.248 kg / m3

So,

c) . more than density of the hot, dry air computed in part (a)

7 0
3 years ago
Aristotle believed which of the following to be true?
Bumek [7]

Answer:

number 2

Explanation:

5 0
4 years ago
What are the three ways to accelerate?
Nookie1986 [14]

Answer:

There are three ways an object can accelerate: a change in velocity, a change in direction, or a change in both velocity and direction.

Explanation:

5 0
3 years ago
Read 2 more answers
How long will it take take light moving at 300,000 km/s to reach us from the sun? The sun is 15,000,000 km from earth.
AysviL [449]
15,000,000/300,000=50
It will take 50 seconds.
6 0
3 years ago
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