D. Direction, if someone is traveling on an interstate from New York to Boston at 65 MPH, the speed of the car is 65 MPH and the velocity is 65 MPH north-east.
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Answer:</h2>
105146 Pa
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Explanation:</h2>
1) We will make a Free-Body Diagram representing all the upward and downward pressures exerted on the piston.
- Pressure exerted by the compressed spring (Pspring)
- Pressure due to weight of the piston (Pw)
- Atmospheric pressure (Patm)
- Initial pressure inside the cylinder. (P1)
2) We will formulate an equation balancing all upward and downward pressures.
P1= Patm + Pw + Pspring
3) We will calculate each of the pressures separately.
P = F/A
F= ks
k= 38×1000 =38000 N m
s= 2.5 /1000 = (2.5x10^-3) m
F = 38000×(2.5x10^-3) = 95 N
A = 30/10000 = (30x10^-4) m2
P = 95 / (30x10^-4)
Pspring ≅ 3167 Pa
P = F/A
F = W = mg
W = 2×9.81 = 19.62 N
A = 30/10000 = (30x10^-4) m2
P = 19.62 / (30x10^-4)
Pw = 654 Pa
P = 1atm = 101325 Pa
Patm = 101325 Pa
4) We will add all the downward pressures to reach the final answer (initial pressure inside the cylinder).
P1= Patm + Pw + Pspring
P1= 101325+654+3167
P1= 105146 Pa
In physics, potential energy is calculated as ‘mass × acceleration due to gravity × height’
So,
P.E. = 70 kg × 10 m/s² × 10 m
P.E. = 7000 Joules
Answer: a. forms where light rays coming from the dog converge.
Explanation:
While photographing through digital camera, the light from the object through the lens converges and falls on image sensor.
The image breaks into many pixels and color and brightness of each pixel is measured and stored in form of number. This forms a digital image.
Thus, the correct option is a because the lens converges the light coming from the object onto the sensor.