Answer:
(a) 1.11 m
(b) 4760 kgm/s
Explanation:
height of plane (h) = 370 m
velocity (v) = 56 m/s
mass (m) = 85 kg
force = 1.2 x 10^{5} N = 120,000 N
(a) We can get the minimum depth of snow from the equation below
force x depth = kinetic energy on impact
f x d = 0.5 x m x v^{2}
120000 x d = 0.5 x 85 x 56^{2}
d= (0.5 x 85 x 56^{2}) ÷ 120000 = 1.11 m
(b) the magnitude of impulse is equal to the momentum of the paratrooper and his gear
= m x v
= 85 x 56 = 4760 kgm/s
Answer: What else is produced when sodium carbonate decomposes?
Explanation:
Answer:
T = 27.92 N
Explanation:
For this exercise let's use Newton's second law
T - W = m a
The weight
W = mg
The acceleration can be found by derivatives
a = dv / dt
v = 2 t + 0.6 t²
a = 2 + 0.6 t
We replace
T - mg = m (2 + 0.6t)
T = m (g + 2 + 0.6 t) (1)
Let's look for the time for the speed of 15 m / s
15 = 2 t + 0.6 t²
0.6 t² + 2 t - 15 = 0
We solve the second degree equation
t = [-2 ±√(4 - 4 0.6 (-15))] / 2 0.6
t = [-2 ±√40] / 1.3 = [-2 ± 6.325] / 1.2
We take the positive time
t = 3.6 s
Let's calculate from equation 1
T = 2.00 (9.8 + 2 + 0. 6 3.6)
T = 27.92 N
Imagine a skinny straw in the water, standing right over the hole. The WEIGHT of the water in that straw is the force on the tape. Now, the volume of water in the straw is (1 mm^2) times (20 cm). Once you have the volume, you can use the density and gravity to find the weight. And THAT's the force on the tape. If the tape can't hold that force, then it peels off and the water runs out through the hole. /// This is a pretty hard problem, because it involved mm^2, cm, and m^3. You have to be very very very careful with your units as you work through this one. If you've been struggling with it, I'm almost sure the problem is the units.
Answer:
The pH scale was invented by Svante Arrhenius is false.
Explanation :
because the pH scale was invented by Soren Sorensen