Question

A bunch of grapes is placed in a spring scale at a supermarket. The grapes oscillate up and down with a period of 0.60 s , and the spring in the scale has a force constant of 610 N/m . You may want to review

What is the mass of the grapes?

What is the weight of the grapes?

Answer 1

K= force constant of 610 N/m

T= time period of 0.60 s

lets f= frequency

m= mass

= angular velocity

we know the formula

   .....................................(1)

And

   ...........................................(2)

From equation (1) and (2)

.......................................(3)

m=5.57 kg

   the mass of the grapes= 5.57 Kg

And the weight w= mg=(5.57 kg)*(9.8 m/s2)=54.58 N

ANSWER"""

a)  the mass of the grapes= m=5.57 Kg

b) the weight w=54.58 N