Physics, 22.07.2019 19:10 vDxrk

A10-cm-long spring is attached to the ceiling. when a 2.0 kg mass is hung from it, the spring stretches to a length of 15 cm.? a) what is the spring constant k? b) how long is the spring when a 3.0 kg mass is suspended from it?

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Answer from: bibhu42kumarp7o4ss

A) 392 N/m

The spring constant can be found by applying Hooke's Law:

F = kx

where

F is the force applied to the spring

k is the spring constant

x is the stretching of the spring

Here we have:

F is the weight of the block hanging from the spring, which is

F=mg=(2.0 kg)(9.8 m/s^2)=19.6 N

The stretching of the spring is

x=15 cm - 10 cm = 5 cm = 0.05 m

Therefore its spring constant is

$k=\frac{F}{x}=\frac{19.6 N}{0.05 m}=392 N/m$

B) 17.5 cm

Now that we know the value of the spring constant, we can calculate the new stretching of the spring when a mass of m=3.0 kg is applied to it. In this case, the force applied on the spring is

F=mg=(3.0 kg)(9.8 m/s^2)=29.4 N

Therefore the stretching of the spring is

$x=\frac{F}{k}=\frac{29.4 N}{392 N/m}=0.075 m = 7.5 cm$

And since the natural length of the spring is 10 cm, the new length will be

L = 10 cm + 7.5 cm = 17.5 cm

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

answer would be letter choice (a), a ball resting on a shelf. would be another example of potential energy > stored energy > not moving.

a ball spinning on a finger > kinetic energy > moving energy

a ball rolling on the ground > kinetic energy > moving energy

a ball flying through the air > kinetic energy > moving energy

hope that : )

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A10-cm-long spring is attached to the ceiling. when a 2.0 kg mass is hung from it, the spring stretc...

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