Answer:
Explanation:
Given
Mass of mother
Mother is released with a speed of
Assuming we need to find elastic Potential energy stored in Trampoline
Kinetic energy acquired by Mother comes from Elastic Potential Energy stored in the spring
I.e. Elastic Potential Energy=Kinetic Energy of mother
So 246.875 J of Energy is stored in the trampoline as he pull the ring
Answer:
81.9756 m/s
16.8 m
4.8795 Hz
Explanation:
m = Mass of string = 0.12 kg
L = Length of string = 8.4 m
T = Tension on string = 96 N
Linear density is given by
Spee of the wave is given by
The speed of the waves on the string is 81.9756 m/s
Wavelength is given by
The longest possible wavelength is 16.8 m
Frequency is given by
The frequency of the wave is 4.8795 Hz
Answer:
Explanation:
For a. its max height and when it occurs. First the max height. That's a y-dimension thing, and in the y-dimension we have this info:
v₀ = 48 ft/s
a = -32 ft/s/s
v = 0 (the max height of an object occurs when the final velocity of the object is 0). Use the following equation for this part of the problem:
v² = v₀² + 2aΔx and filling in:
Δx and
0 = 2300 - 64Δx and
-2300 = -64Δs so
Δx = 36 feet.
Now for the time it takes to get to this max height. Final velocity is still 0 here, but the equation is a different one for this part of the problem. Use:
v = v₀ + at and filling in:
0 = 48 - 32t and
-48 = -32t so
t = 1.5 sec. That's part a. Onto part b:
The object hits the ground when its displacement, Δx, is 0. Use this equation for this problem:
Δx = v₀t + and filling in:
and
and
0 = 16t(3 - t) so
t = 0 and t = 3. t = 0 is before the object is propelled, so it makes sense that at 0 seconds, the object was still on the ground, right? Then at 3 seconds, it's back on the ground. (Isn't math just perfectly, beautifully sensible!?) Now onto part c:
We are looking for the time interval when the object is >32 feet. So we use the same equation we just used, but with an inequality instead of an equals sign:
and get everything on one side and factor it again:
and we find that
1 < t < 2 so the time interval is between 1 and 2 seconds that the object is over 32 feet in the air.