Answer: T2 = 7.07s
Explanation: The period of a loaded spring of spring constant k and mass m is given by
T= 2π √m/k
With 2π constant and k, it can be seen with little algebra that
T² is proportional to mass m
Hence (T1)²/m1 = (T2) ²/m2
Where T1 = 5, T2 =?, let m1 = m hence m2 = 2m.
By substituting, we have that
5²/m = (T2) ²/2m
25 / m = (T2) ²/2m
25 × 2m = (T2) ² × m
25 × 2 = (T2) ²
50 = (T2) ²
T2 = √50
T2 = 7.07s
Answer:
Explanation:
a ) Kinetic energy of ball = 1/2 m v² , m is mass of the ball and v is its velocity
= 1/2 x .058 x 80²
= 185.6 J .
b ) The velocity of ball is very high so we shall find out the relativistic kinetic energy , the formula is given below
kinetic energy = mc² (
)
= mc² x
- mc²
= .058 x 9 x 10¹⁶ x
- .058 x 9 x 10¹⁶
= .058 x 9 x 10¹⁶ x 1 / .8 - .058 x 9 x 10¹⁶
.058 x 9 x 10¹⁶ ( 1.25 - 1 )
= .058 x 9 x 10¹⁶ x .25
= .1305 x 10¹⁶
= 13.05 x 10¹⁴ J .
Answer:
c. It refers to any government program that tends to reduce fluctuations in GDP automatically.
Explanation:
Automatic Stabilizer is nothing but any scheme or program that that tends to reduce fluctuations in GDP automatically. It is generally intended to stabilize the GDP of a nation.
For examples In cases of economic slow down, the government sells its ownership in public sectors undertakings like, railways, oil and natural gases, to private players. So, that government has some money to combat the slowdown.
Answer:
2000 W
Explanation:
First of all, we need to find the output voltage in the transformer, by using the transformer equation:

where here we have
V1 = 200 V is the voltage in the primary coil
V2 is the voltage in the secondary coil
N1 = 250 is the number of turns in the primary coil
N2 = 500 is the number of turns in the secondary coil
Solving for V2,

Now we can find the power output, which is given by
P = VI
where
V = 400 V is the output voltage
I = 5 A is the output current
Substituting,
P = (400 V)(5 A) = 2,000 W