Answer:
t = 26.8 s
Explanation:
Here, we can use the second equation of motion to calculate the required time:
where,
s = distance = 1800 m
vi = initial speed = 0 m/s
t = time needed = ?
a = acceleration = 5 m/s²
Therefore,
<u>t = 26.8 s</u>
The time of fall for the two balloons is equal.
Here the conditions given resembles a free fall. Since the air resistance is negligible, gravitational force is the only force acting on both the balloons which means the two balloons are falling in a vacuum. In a vacuum, if two objects of different mass are thrown from the same height, both objects will reach the ground at the same time.
Free fall is nothing but a condition in which an object falls solely under the influence of gravity.
Therefore, the time of fall for both yellow and red water balloons is equal no matter the weight where air resistance is negligible.
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Answer:The SI system is based on the number 10 as well as multiples and products of 10. This makes it much easier to use, and so it has been the accepted system in scientific and technical applications. The English system is more complicated as relationships between units of the same quantity aren't uniform.
Explanation:
Answer:
P = 17.28*10⁶ N
Explanation:
Given
L = 250 mm = 0.25 m
a = 0.54 m
b = 0.40 m
E = 95 GPa = 95*10⁹ Pa
σmax = 80 MPa = 80*10⁶ Pa
ΔL = 0.12%*L = 0.0012*0.25 m = 3*10⁻⁴ m
We get A as follows:
A = a*b = (0.54 m)*(0.40 m) = 0.216 m²
then, we apply the formula
ΔL = P*L/(A*E) ⇒ P = ΔL*A*E/L
⇒ P = (3*10⁻⁴ m)*(0.216 m²)*(95*10⁹ Pa)/(0.25 m)
⇒ P = 24624000 N = 24.624*10⁶ N
Now we can use the equation
σ = P/A
⇒ σ = (24624000 N)/(0.216 m²) = 114000000 Pa = 114 MPa > 80 MPa
So σ > σmax we use σmax
⇒ P = σmax*A = (80*10⁶ Pa)*(0.216 m²) = 17280000 N = 17.28*10⁶ N
Answer:
52.5 g of the salt
Explanation:
From the question given above, we were told that concentration of the mixture that is needed can be obtained as by dissolving 35 g of salt in 1000 mL of water.
Thus, we can obtain the mass of the salt needed to make 1500 mL of the salt water mixture as follow:
35 g of salt dissolves in 1000 mL of water.
Therefore, Xg of the salt will dissolve in 1500 mL of water i.e
Xg of salt = (35 × 1500)/1000
Xg of salt = 52.5 g
Thus, 52.5 g of the salt is needed to make 1500 mL of the salt water mixture.