19. Matilda and Ravi carried out an experiment with springs. They put different masses on the spring and measured the length of the spring each time. The table shows some of their results.
Mass
Weight (force) ()
Length (cm)
0
0
10
200
2
14
400
600
4
18
22
800
26
1000
30
i) Fill in the missing units in the table.
ii) Fill in the missing weights in the table. (Remember that a mass of 100g has a weight of 1 N
iii) Draw a graph to show the results.
iv) Which is the best conclusion for this experiment The bigger the mass, the larger the weight.
The larger the weight, the longer the spring.
The longer the spring, the bigger the weight.
The shorter the spring, the bigger the weight.
Answers
Answered by
0
Answer:
Let length=l breadth=b
l=b+20
Perimeter of plot=2(l+b)
=2(2b+20)
=4b+80
Now,
26.50×(45+80)=5300
10
26.5
×4b+
10
265
×80=5300
106b=3180
b=30
⇒
length=50m
.
Answered by
0
Answer:
Maximum mass that the scale can read, M=50kg
Maximum displacement of the spring = Length of the scale, l=20cm=0.2m
Time period, T=0.6s
Maximum force exerted on the spring, F=Mg
where,
g= acceleration due to gravity =9.8m/s
2
F=50×9.8=490
∴ Spring constant, k=F/l=490/0.2=2450Nm
−1
Mass m, is suspended from the balance.
Times period, t=2π
k
m
∴m=(
2π
T
)
2
×k=(
2×3.14
0.6
)
2
×2450=22.36kg
∴ Weight of the body =mg=22.36×9.8=219.16N
Hence, the weight of the body is about 219 N.
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