Answer:
A. 392J
B. 392J
C. 9.899m/s
Explanation:
Express 0.00000000062 kg in scientific notation. 6.2 x 1010kg 6.2 x 10-10kg 0.62 x 10-9kg
2 answers:
<h2>Answer:</h2>
The scientific form of a number is:
We are given a number which we have to express in scientific notation.
We know that a number is expressed in scientific notation as follows:
- There must be one digit before the decimal.
- If the decimal is shifted to the left then the number of shift takes the positive power of 10 and if the shift is to the right then the number of shift takes negative power of 10.
Here we have a number as:
Now we have to shift the decimal 10 places to the right.
Hence, the number in scientific form is:
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Answer:
487.23 N/m
Explanation:
Given:
mass of metal sphere 'm'= 0.51kg
the spring stretches from 0.12 m to 0.23 m. Therefore,
= 0.12m and
= 0.23m
the speed of the sphere decreases from 6.7 to 3.3 m/s. Therefore,
= 6.7m/s and
=3.3m/s
In order to find spring constant, we apply law of conservation of energy. i.e
The change of the kinetic energy of sphere is equal to the change of potential energy of the spring.
So, Δ Δ
where,
Δ 1/2 m (
-
)²
Δ= 1/2 k (
-
)²
1/2 m (-
)² = 1/2 k (
-
)²
k= m [ (-
)²/(
-
)²
k= 0.51 [(6.7-3.3)²/ (0.23-0.12)²]
k= 487.23 N/m
Thus, the spring constant of the spring is 487.23 N/m