A mechanic turns a wrench using a force of 27.00 N at a distance of 16.00 cm from the rotation axis. The force is perpendicular
1 answer:
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Answer:
0.114 kg or 114 g
Explanation:
From the diagram attaches,
Taking the moment about the fulcrum,
sum of clockwise moment = sum of anticlockwise moment.
Wd = W'd'
Where W = weight of the mass, W' = weight of the meter rule, d = distance of the mass from the fulcrum, d' = distance of the meter rule.
make W' the subject of the equation
W' = Wd/d'................ Equation 1
Given: W = mg = 0.0515(9.8) = 0.5047 N, d = (39.2-16) = 23.2 cm, d' = (49.7-39.2) = 10.5 cm
Substitute these values into equation 1
W' = 0.5047(23.2)/10.5
W' = 1.115 N.
But,
m' = W'/g
m' = 1.115/9.8
m' = 0.114 kg
m' = 114 g
Answer:
45.6 cm
Explanation:
Let x (m) be the length that the spring is compressed. We know that when we drop the mass from 4.84 m above and compress the springi, ts gravitational energy shall be converted to spring potential energy due to the law of energy conservation
where h = 4.84 + x is the distance from the dropping point the the compressed point, and k = 24N/cm = 2400N/m is the spring constant, g = 9.81 m/s2 is the gravitational acceleration constant. And m = 4.8 kg is the object mass.
or 45.6 cm
Answer:
Part a)
Velocity of sled
velocity of first man who jump off
Part b)
Velocity of sled
Also the speed of second person is given as
Part c)
change in kinetic energy of sled + two people is given as
Explanation:
As we know that here we we consider both people + sled as a system then there is no external force on it
So here we can use momentum conservation
since both people + sled is at rest initially so initial total momentum is zero
now when first people will jump with relative velocity "s" then let say the sled + other people will move off with speed v
so by momentum conservation we have
so velocity of the sled + other person is
velocity of first man who jump off
Part b)
now when other man also jump off with same relative velocity
so let say the sled is now moving with speed vf
so by momentum conservation we have
Now we have
Also the speed of second person is given as
Part c)
change in kinetic energy of sled + two people is given as
here we know all values of speed as we found it in part a) and part b)
Answer:
2.6 kilo Ohm
Explanation:
Capacitance, C = 591 μF = 591 x 10^-6 F
Vo = 88.5 V
V = 11.9 V
t = 3.09 s
Let the resistance is R.
Take natural log on oth the sides
ln 0.135 = - 3.09 / RC
RC = 1.545
R = 1.545 / ( 591 x 10^-6)
R = 2614.2 ohm
R = 2.6 kilo Ohm
Thus the resistance is 2.6 kilo Ohm.