Answer:
v = 3200 m/s
Explanation:
As we know that the frequency of the sound wave is given as

wavelength of the sound wave is given as

so now we have

so we will have


Time period = 1 / frequency
Time period = 1 / 250 th of a second
Answer:
C. 3.00 s
Explanation:
Given:
Δy = 1.80 m − 46.0 m = -44.2 m
v₀ = 0 m/s
a = -9.8 m/s²
Find: t
Δy = v₀ t + ½ at²
-44.2 m = (0 m/s) t + ½ (-9.8 m/s²) t²
t = 3.00 s
M = 7.0 kg, the mass of the groceries
h = 1.2 m, the elevation of the bag of groceries
The bag of groceries moves a constant velocity over the 2.7-m room.
At constant velocity, there is no applied force, and the kinetic energy remains constant.
At an elevation of 1.2 m, there is an increase in PE (potential energy) given by
V = m*g*h
= (7.0 kg)*(9.8 m/s²)*(1.2 m)
= 82.32 J
The change in PE is equal to the work done.
Answer: 82.3 J
The height reached by the two carts after collision is determined as 5.34 m.
<h3>
Initial velocity of Cart A</h3>
Apply the principle of conservation of mechanical energy.
K.E = P.E
v = √2gh
v = √(2 x 9.8 x 12)
v = 15.34 m/s
<h3>Final velocity of the two carts after the collision</h3>
Apply the principle of conservation of linear momentum for inelastic collision.
m₁u₁ + m₂u₂ = v(m₁ + m₂)
8(15.34) + 4(0) = v(8 + 4)
122.72 = 12v
v = 10.23 m/s
<h3>Height reached by both carts</h3>
Apply the principle of conservation of mechanical energy.
P.E = K.E
mgh = ¹/₂mv²
h = v²/(2g)
h = (10.23²) / (2 x 9.8)
h = 5.34 m
Learn more about linear momentum here: brainly.com/question/7538238
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