The height of the ball is 2.45 m.
To calculate the height of the ball, we use the formula below.
<h3>Formula</h3>
- E = mgh................ Equation 1
Where:
- E = Elastic energy of the spring
- m = mass of the ball
- h = height of the ball
- g = acceleration due to gravity.
make h the subject of the equation
- h = E/mg...............Equation 2
From the question,
Given:
- E = 7.2 J
- m = 0.3 kg
- g = 9.8 m/s²
Substitute these values into equation 2
- h = 7.2/(0.3×9.8)
- h = 7.2/2.94
- h = 2.45 m
Hence, The height of the ball is 2.45 m.
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Answer:
1) 0.67HP
2)
Explanation:
1)In order to solve the problem we use the conversion between HP and Watts:
1HP=746Watts
So:
500W*(1HP/746W)=0.67HP
2)The power delivered is equal to the ideal power multiplied the motor's efficiency:
Answer:
Explanation:
given,
Intensity radiated by black body= I₁
room temperature = 300 K
Intensity radiated, I₂ = ?
At temperature = T₂ = 400 K
now,
Intensity of radiation, I = σ T⁴
now,
hence, Radiation Intensity at 400 K is equal to I₂ = 3.16 I₁
Answer: (A) 1.5 m
Explanation:
This situation is due to Refraction, a phenomenon in which a wave (the light in this case) bends or changes its direction when passing through a medium with an index of refraction different from the other medium.
In this context, the index of refraction is a number that describes how fast light propagates through a medium or material.
In addition, we have the following equation that states a relationship between the apparent depth and the actual depth :
(1)
Where:
is the air's index of refraction
water's index of refraction.
is the actual depth of water
Now. when is smaller than the apparent depth is smaller than the actual depth. And, when is greater than the apparent depth is greater than the actual depth.
Let's prove it:
(2)
Finally we find the apparent depth of water, which is smaller than the actual depth:
The time needed to evaporate all the water in the kettle is 1.13 x 10³s.
<h3>What is Power?</h3>
The power is defined as the the ratio of amount of energy produced per unit time.
P =E/t
Energy is in the form of heat gained to evaporate all water in kettle.
E = Q =mL
So, P = mL/t
Substitute mass of water m = 0.5kg, latent heat of vaporization of wate L = 2.26 x 10⁶ J/kg, power P= 10³ W, we have
10³ = (0.5 x 2.26 x 10⁶) /t
t = 1.13 x 10³s
Thus, the time needed to evaporate all the water is 1.13 x 10³s.
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