Physics, 14.11.2019 23:31 zaniathomasel

Ahomeowner is trying to move a stubborn rock from his yard. by using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. the homeowner places the fulcrum a distance =0.211 m from the rock, which has a mass of 325 kg, and fits one end of the rod under the rock's center of weight.
if the homeowner can apply a maximum force of 695 n at the other end of the rod, what is the minimum total length l of the rod required to move the rock? assume that the rod is massless and nearly horizontal so that the weight of the rock and homeowner\'s force are both essentially vertical.

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Answer from: luximartinez

1.17894 m

Explanation:

The rock is at one end of the rod which is 0.211 m from the fulcrum

F = Force

d = Distance

L = Length of rod

M = Mass of rock = 325 kg

g = Acceleration due to gravity = 9.81 m/s²

Torque

$\tau=F\times d$

Torque of man

$\tau_m=F(L-d)\\\Rightarrow \tau_m=695(L-0.211)$

Torque of rock

$\tau_r=Mg\times d\\\Rightarrow \tau=325\times 9.81\times 0.211\\\Rightarrow \tau=672.72075\ Nm$

The torques acting on the system is conserved

$\tau_m=\tau_r\\\Rightarrow 695(L-0.211)=672.72075\\\Rightarrow L-0.211=\frac{672.72075}{695}\\\Rightarrow L-0.211=0.96794\\\Rightarrow L=0.96794+0.211\\\Rightarrow L=1.17894\ m$

The length of the rod is 1.17894 m

Ahomeowner is trying to move a stubborn rock from his yard. by using a a metal rod as a lever arm an

Answer from: Quest

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm. the wire diameter is d = 0.9 mm. the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2) in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

Answer from: Quest

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Ahomeowner is trying to move a stubborn rock from his yard. by using a a metal rod as a lever arm an...