Answer:
Explanation:
Given:
- actual weight on the earth, m = 150 lbs × g = 68.0389 kgf
- apparent weight in the spacecraft, M = 175 lbs × g = 79.3787 kgf
∵The apparent weight increases it means that the spacecraft is accelerating in the direction opposite to the gravity and having the value greater than 9.8
DIfference in the weight,
This difference in weight is due to the difference in acceleration of the gravity and the spacecraft.
So, the quantity of acceleration responsible for this difference in weight:
.................(1)
where:
m= mass of the body being accelerated
= difference in the acceleration
from eq. (1)
∴The actual accelerationof the spacecraft:
a=
a = 9.8 + 1.6333
a =
Answer:
υ = 345.82 m/s
Explanation:
The formula used to find the speed of sound in air, at different temperatures is given as follows:
where,
υ = speed of sound at given temperature = ?
υ₀ = speed of sound at 0°C = 331 m/s
T = temperature in K = 15°C + 273 = 298 k
Therefore, using these values in the equation, we get:
<u>υ = 345.82 m/s</u>
Answer:
π/2 (90°)
Explanation:
The dot product of two vectors equals the product of their magnitudes and the cosine of the angle between them.
a·b = ||a|| ||b|| cos θ
If the dot product is 0:
0 = ||a|| ||b|| cos θ
0 = cos θ
θ = π/2
The angle between a and b is π/2 (90°).
Answer:
Explanation:
In order to solve this question we need to know that 
. Then we need to convert 4 minutes into seconds and cm into m. We can do that by multiplying the number of minutes by 60 (because there is 60 seconds in one minute) and dividing the number of cm by 100 (because there is 100 cm in one m). So.......
4min = 4 x 60s = 240s
300cm = 300/100 m = 3m
Now we know that distance = 300m, and that the time = 4min = 240s ⇒
⇒ 
