Answer:
16.5 m
Explanation:
The following data were obtained from the question:
Time (t) = 0.1 s
Speed of sound in air (v) = 330 m/s
Distance (X) =?
The Lenght (i.e distance) of the room can be obtained as follow:
v = 2X / t
330 = 2 × X / 0.1
Cross multiply
2 × X = 330 × 0.1
2 × X = 33
Divide both side by 2
X = 33/2
X = 16.5 m
Thus, the length of the room is 16.5 m.
<h2>The pressure will become double </h2>
Explanation:
The gas pressure is directly proportional to the mean root square velocity of the constituent molecules of gas .
P ∝ I
Here C₁ , C₂ ------------ Cₙ is the velocities of molecules .
By making these velocities double
The pressure P₀ ∝ 2 II
By dividing II by I
P₀ = 2 P
Thus pressure will become double than its previous value
Answer:
The kinetic energy at a displacement of half the amplitude is 37.5 J
Explanation:
Given;
total energy on the spring, E = 50 J
When the displacement is half the amplitude, the total energy in the spring is sum of the kinetic energy and elastic potential energy.
E = K + U
Where;
K is the kinetic energy
U is the elastic potential energy
K = E - U
K = E - ¹/₂KA²
When the displacement is half = ¹/₂(A) = A/₂
K = E - ¹/₂K(A/₂)²
K = E - ¹/₂K(A²/₄)
K = E - ¹₄(¹/₂KA²)
Recall, E = ¹/₂KA²
K = ¹/₂KA² - ¹₄(¹/₂KA²) (recall from simple arithmetic, 1 - ¹/₄ = ³/₄)
K = 1(¹/₂KA²) - ¹₄(¹/₂KA²) = ³/₄(¹/₂KA²)
K = ³/₄(¹/₂KA²)
But E = ¹/₂KA² = 50J
K = ³/₄ (50J)
K = 37.5 J
Therefore, the kinetic energy at a displacement of half the amplitude is 37.5 J
Answer:
Explanation:
static friction = 0.34
Acting force = 50N
mass = 12 kg
g = 9.81
a = acceleration after box moves against friction.
Acting force - Frictional Force = m * a
Frictional Force = mu*Normal
Normal = m * g
Normal = 12 * 9.81 = 117.72
Frictional Force = Normal * 0.34
Frictional Force = 117.72 * 0,34
Frictional Force = 40.02
50 - 40.02 = 12 *a
9.98 = 12*a
a = 0.8317 m/s^2
According to Newton's 2nd law of motion, Jim can throw a tennis ball farther than a <span>basketball</span>. The rest of the choices do not answer the question above.