Answer: 1.76 Nm
Explanation:
If the force pulls horizontally, this means that the force is tangent to the disk at any point of the string unwinding process, so the distance d is irrelevant.
In this case, the torque is directly given by the product of the force times the distance perpendicular to the center of the disk, which is just the radius, as follows:
τ = F * r = 16 N. (0.11) m = 1.76 Nm
Weight = (mass) x (acceleration of gravity where the object is)
You didn't tell us WHERE the boulder is, so I have to assume that it's on Mars, where the acceleration of gravity is 3.71 m/s².
675,000 N = (mass) (3.71 m/s²)
Mass = (675,000 N) / (3.71 m/s²)
<em>Mass = 181,941 kilograms</em>
The same weight on Earth would suggest a mass of only 68,807 kg, so you can see how important it is to know where you are when you make your measurements.
Answer: 0.0163
Explanation: fn=n x v/2L
Fundamental frequency =f1
1 x (343/2L) = 10500
Rearrange the equation
L= v/(2xFn)
L= 343/(2x10500)
L=0.0163
Answer:
Energy, E = 178.36 J
Explanation:
It is given that,
Mass 1, ![m_1=4\ kg](https://tex.z-dn.net/?f=m_1%3D4%5C%20kg)
Mass 2, ![m_2=4\ kg](https://tex.z-dn.net/?f=m_2%3D4%5C%20kg)
Mass 3, ![m_3=6\ kg](https://tex.z-dn.net/?f=m_3%3D6%5C%20kg)
Height from which they are dropped, h = 1.3 m
Let m is the energy used by the clock in a week. The energy is equal to the gravitational potential energy. It is given by :
![E=(m_1+m_2+m_3)gh](https://tex.z-dn.net/?f=E%3D%28m_1%2Bm_2%2Bm_3%29gh)
![E=(4+4+6)\times 9.8\times 1.3](https://tex.z-dn.net/?f=E%3D%284%2B4%2B6%29%5Ctimes%209.8%5Ctimes%201.3)
E = 178.36 J
So, the energy used by the clock in a week is 178.36 Joules. Hence, this is the required solution.