A string is wrapped around a pulley with a radius of 2.0 cm. The pulley is initially at rest. A constant force of 50 N is applied to the string, 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
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Answer:
0.20kg-m^2
Explanation:
Let the linear velocity of the rope(=of pulley) is v m/s
Using kinematic equation
=> v = u + at
=>v = 0 + 4.9a
=>v = 4.9a ------------ eq1
By v^2 = u^2 + 2as
=>v^2 = 0 + 2 x v/4.9 x 1.2
=>4.9v^2 - 2.4v = 0
=>v(4.9v - 2.4) = 0
=>v = 2.4/4.9 = 0.49 m/s
Thus by v = r x omega
=>omega = v/r = 0.49/0.02 = 24.49 rad/sec
BY W = F x s = 50 x 1.2 = 60 J
=>KE(rotational) = W = 1/2 x I x omega^2
=>60 = 1/2 x I x (24.49)^2
=>I = 0.20 kg-m^2
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A 139 kg physics professor has fallen into the Grand Canyon. Luckily, he managed to grab a branch and is now hanging 89 m below the rim. A student (majoring in linguistics and physics) decides to perform a rescue/experiment using a nearby horse. After lowering a rope to her fallen hero and attaching the other end to the horse, the student measures how long it takes for the horse to pull the fallen physicist to the rim of the Grand Canyon. The acceleration of gravity is 9.8 m/s 2 . If the horse’s output power is truly 1 horsepower (746 W), and no energy is lost to friction, how long should the process take? Answer in units of s.
Answers
Answer:
Vf=60m/s
Vi=0 because it starts from rest
t=4.4s
a=?
a=Vf-Vi/t
a=60-0/4.4
a=60/4.4
a=13.63m/s^2
Answer:
13.636364 m/s2
Answers
Answers
This is because:
log(x) - log(9) = 1
Subtracting the logs of numbers gives you the log of
the quotient of the numbers.
Log(x) - log(9) is the log of (x/9).
So the equation says: log (x/9) = 1
Raise 10 to the power of each side: 10^(log of x/9) = 10^1
But 10^(log of x/9) is x/9, and 10^1 is 10.
So x/9 = 10
x = 90
c. cubic meter.
b. metric ton.
d. meter.
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Answer: The correct answer is option a.
Explanation:
Basic unit to measure mass is defined as the unit which is commonly used to measure the mass of an object.
From the given options,
Option a: Grams is a unit which is used to measure mass and it is the commonly used unit.
Option b: Cubic meter is the unit which is used to measure the volume of an object.
Option c: Metric ton is a unit which is used to measure the mass of an object but this unit is not commonly used. hence, this is not basic unit to measure mass.
Option d: Meter is the unit which is used to measure length.
From the above information, the correct answer is option a.
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Promotional claims are given by companies to attract potential buyers with the intent of selling their goods and services.
Consumers must not only rely on what these promotional claims are saying, instead one must do his or her own research to verify if said claims are true, will benefit the consumer and is the only viable or practical solution needed to satisfy the needs of the consumer.
False
I feel like this is false because I know it is similar to that of a bar magnet. Right?