At the grocery store, the spring on a scale has a spring constant of 550 N/m....

Question

Question

At the grocery store, the spring on a scale has a spring constant of 550 N/m. When a bag of apples is hung on the scale it stretches by 4.0 cm.

(a) What is the mass of the apples? kg
(b) If the scale with the apples in it is pulled down 3.6 cm more and released so that it vibrates up and down

what is the amplitude of vibration?	cm
what is the frequency of vibration?	Hz

Answer 1

Answer #1

a) at equilibrium

spring force(kx) = mg

where m is mass of apples

=> 550 *0.04=m*9.8

=> m= 2.244 kg

b) time period of oscillation

T = 2*pi*(m/k)^0.5= 2*pi*(2.244/550)^0.5=0.401 sec

SO frequency of vibration f=1/T=2.493 Hz

amplitude of vibration A= 3.6 cm

Answer 2

Similar Homework Help Questions

A fisherman's scale stretches 4.0 cm when a 2.5 kg fish hangs from it. A) What...

A fisherman's scale stretches 4.0 cm when a 2.5 kg fish hangs from it. A) What is the spring stiffness constant?? B) What will be the amplitude of vibration if the fish is pulled down 2.5 cm more and released so that it vibrates up and down? C) What will be the frequency of vibration if the fish is pulled down 2.5 cm more and released so that it vibrates up and down?
Constants Afisherman's scale stretches 3.7 cm when a 2.6 kg fish hangs from it What will...

Constants Afisherman's scale stretches 3.7 cm when a 2.6 kg fish hangs from it What will be the frequency of vibration if the fish is pulled down 2.2 cm more and released so that it vibrates up and down? Express your answer to two significant figures and include the appropriate units. 1.7 10 Hz
Afisherman's scale stretches 3.5 cm when a 3.0 kg fish hangs from it. Part A What...

Afisherman's scale stretches 3.5 cm when a 3.0 kg fish hangs from it. Part A What is the spring stiffness constant? Express your answer using two significant figures. V AE R O ? * = N/m Submit Request Answer Part B What will be the amplitude and frequency of vibration if the fish is pulled down 2.6 cm more and released so that it vibrates up and down? Express your answer using two significant figures. IVO AED O 2 ?...

A spring with spring constant 16.0 N/m hangs from the ceiling. A 550 g ball is...

A spring with spring constant 16.0 N/m hangs from the ceiling. A 550 g ball is attached to the spring and allowed to come to rest. It is then pulled down 6.30 cm and released. What is the time constant if the ball's amplitude has decreased to 3.80 cm after 37.0 oscillations?
A spring with spring constant 12.5 N/m hangs from the ceiling. A 550 g ball is...

A spring with spring constant 12.5 N/m hangs from the ceiling. A 550 g ball is attached to the spring and allowed to come to rest. It is then pulled down 6.50 cm and released. What is the time constant if the ball's amplitude has decreased to 4.00 cm after 43.0 oscillations? Express your answer with the appropriate units. The answer is not 118.74 s^-1
a 0.675 kg mass is attached to a spring of spring constant 42.4 n/m, pulled, and...

a 0.675 kg mass is attached to a spring of spring constant 42.4 n/m, pulled, and released. what is the frequency of the resulting oscillation A 0.675 kg mass is attached to a spring of spring constant 42.4 N/m, pulled, and released. What is the frequency of the resulting oscillation? (Unit = Hz) Enter 2000 Acelas Corporation. All Rights Reserved ONHOQE

asking for question 2 and part c of 1 Fish are hung on a spring scale...

asking for question 2 and part c of 1 Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation to report the mass truthfully). (a) What is the force constant of the spring in such a scale if it stretches 6.49 cm for a 11.3 kg load? 1706.317 N/m (b) What is the mass of a fish that stretches the spring 5.50 cm? 9.58 kg (c) How far apart are the half-kilogram marks on...
A mass of 5kg is hung from a tension spring causing an increase in the length...

A mass of 5kg is hung from a tension spring causing an increase in the length of the spring by 18mm. Calculate the following: a) The period of the vibration. b) The frequency of the vibration. c) Determine the maximum velocity and maximum acceleration of the mass when it is pulled down a further 15 mm. d) If a 15 kg machine is suspended from this spring and the machine exerts an out-of-balance force of 10 N at 5 Hz....
Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation...

Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation to report the mass truthfully). (a) What is the force constant (in N/m) of the spring in such a scale if it stretches 7.60 cm for a 10.5 kg load? N/m (b) What is the mass (in kg) of a fish that stretches the spring 5.50 cm? kg (c) How far apart (in mm) are the half-kilogram marks on the scale? mm

Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation...

Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation to report the mass truthfully). (a) What is the force constant (in N/m) of the spring in such a scale if it stretches 8.30 cm for a 12.5 kg load? N/m (b) What is the mass (in kg) of a fish that stretches the spring 5.50 cm? kg (c) How far apart (in mm) are the half-kilogram marks on the scale? mm