Answer:
3.41 s
114 m
Explanation:
The object is falling in free fall, accelerated by the surface gravity of Earth. We can use the equation for position under constant acceleration:
X(t) = X0 + V0 * t + 1/2 * a * t^2
We set up a frame of reference with the origin at the point the object was released and the X axis pointing down. Then X0 = 0. Since the problem doesnt mention an initial speed we assume V0 = 0.
It travels 0.5h in the last 1 second of the fall. This means it also traveled in the rest of the time of the fall. t = t1 is the moment when it traveled 0.5*h.
0.5*h = 1/2 * a * t1^2
h = a * t1^2
It travels 0.5*h in 1 second.
h = X(t1 + 1) = 1/2 * a * (t1+1)^2
Equating both equations:
a * t1^2 = 1/2 * a * (t1+1)^2
We simplify a and expand the square
t1^2 = 1/2 * (t1^2 + 2*t1 + 1)
t1^2 - 1/2 * t1^2 - t1 - 1/2 = 0
1/2 * t1^2 - t1 - 1/2 = 0
Solving electronically:
t1 = 2.41 s
total time = t1 + 1 = 3.41.
Now
h = a * t1^2
h = 9.81 * 3.41^2 = 114 m
Answer:
m₁/m₂ =8
Explanation:
Writing the centripetal force equation: where T₁ is inner tension and T₂ is outer tension
T₂ = m₂ × ω²R....equation 1
T₁-T₂ = m₁ × ω²R/2
Also T₁=5T₂
5T₂-T₂ = m₁ × ω²R/2
4 × 2T₂ = m₁ × ω²R
8T₂ = m₁ × ω²R
dividing it by equation 1
8 = m₁/m₂
Hence m₁/m₂ =8
Answer:
Explanation:
Given
Velocity of bat
Frequency of sound
velocity of sound
using Doppler Effect apparent frequency is given by
where
apparent frequency
v=velocity of sound in the given media
velocity of source
velocity of observer
here velocity of source is zero
as source is travelling towards source thus
Answer:
Explanation:
We are given that a parallel- plate capacitor is charged to a potential difference V and then disconnected from the voltage source.
1 m =100 cm
Surface area =S=
We have to find the charge Q on the positive plates of the capacitor.
V=Initial voltage between plates
d=Initial distance between plates
Initial Capacitance of capacitor
Capacitance of capacitor after moving plates
Potential difference between plates after moving
Hence, the charge on positive plate of capacitor=
Answer:
a solids
Explanation:
solids are definite and can not change without force, while liquids take the shape of their container.