Answers:
a) -171.402 m/s
b) 17.49 s
c) 1700.99 m
Explanation:
We can solve this problem with the following equations:
(1)
(2)
(3)
Where:
is the bomb's final jeight
is the bomb'e initial height
is the bomb's initial vertical velocity, since the airplane was moving horizontally
is the time
is the acceleration due gravity
is the bomb's range
is the bomb's initial horizontal velocity
is the bomb's fina velocity
Knowing this, let's begin with the answers:
With the conditions given above, equation (1) is now written as:
(4)
Isolating:
(5)
(6)
(7)
Since , equation (3) is written as:
(8)
(9)
(10) The negative sign ony indicates the direction is downwards
Substituting (7) in (2):
(11)
(12)
The bomb hits the earth at approximately 540.3 km/hr, it takes approximately 17.5 seconds for the bomb to hit the ground, and the bomb's range is approximately 1.36km.
To answer these questions, we're going to use the principles of kinematics that involve motion in a straight line with constant acceleration (that is the acceleration due to gravity in this case). (a) The velocity of the bomb when it strikes the earth can be calculated using the kinematic equation v = u + gt, where u is the initial velocity (0 m/s since the bomb was dropped, not thrown), g is the acceleration due to gravity (approximately -9.8 m/s²), and t is the time. However, we do not know the time yet, so we will use the equation v = sqrt(2×g×h), where h is the height (1500m), and this gives us approximately 540.3 km/hr. (b) The time it takes for the bomb to fall can be calculated using t = sqrt((2×h)/g) which gives approximately 17.5 seconds. (c) The range of the bomb is the horizontal distance it travels, which is the velocity of the plane multiplied by the time it takes for the bomb to hit the ground, or 350 km/hr × 17.5/3600 hr = approximately 1.36km.
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Answer:
Raising its temperature by
Explanation:
The specific heat capacity of a substance is defined as the amount of energy needed to raise the temperature of 1 kg of a substance by .
The specific heat capacity of a substance essentially tells us how much energy is needed to heat the substance: the larger it is, the more energy is needed. The amount of energy needed to increase the temperature of a substance is given by
where
m is the mass of the substance
Cs is the specific heat capacity
is the temperature variation of the substance
Answer:
Raising its temperature by 1 C
Explanation:
A P E X
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