Answer:
Speed changes at the rate of 24 m/s for each second over time.
Explanation:
We are told the object's acceleration is equal to 24 m/s²
Now we know that acceleration can also be defined as the rate of change of speed with time. Also speed has a unit known as m/s.
Thus, we can rephrase the acceleration in this question to mean;
Speed changes at the rate of 24 m/s for every second with time.
Answer : The speed of waves along the wire is, 1.2 m/s
Explanation :
Formula used :
where,
= frequency =
= wavelength =
c = speed of wave = ?
Now put all the given value in the above formula, we get the speed of waves along the wire.
Thus, the speed of waves along the wire is, 1.2 m/s
Answer:
Explanation:
Let T be the temperature of an object at time t , then
dT / dt will be rate of change of temperature
According to newton's law of cooling
dT / dt = k ( T - T₂ )
where T₂ is temperature of surrounding , T is temperature of object , k is a constant .
dT / dt = k ( T - T₂ )
Given k = .4 , ambient temperature T₂ = 68⁰C
dT / dt = .4 ( T - 68 )
dT / ( T - 68 ) = .4 dt .
This is required differential equation .
The magnetic force between two wires is 0.052 N which is attract each other.
We need to know about magnetic force on a current-carrying wire formula to solve this problem. The magnetic force on two wires with same direction of current is
F = μ₀ . I1 . I2 . L / ( 2π . r )
where μ₀ is vacuum permeability (4π×10‾⁷ H/m) F is the magnetic force, I is current, L is the length of wire, r is distance of 2 wires.
From the question above, we know that:
L = 25 m
r = 6 cm
I1 = I2 = 25 A
By substituting the parameter, we get
F = μ₀ . I1 . I2 . L / ( 2π . r )
F = 4π×10‾⁷ . 25 . 25 . 25 / (2π . 0.06)
F = 0.052 N
Hence, the force between two wires is 0.052 N which is attract each other.
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Answer:
19.2 m/s
Explanation:
The train is moving at 18 m/s and you are walking in the same direction (east) so the speeds are added
18 + 1.2 = 19.2
If you were walking backwards (west) your velocity with respect to the ground would be
18 - 1.2 = 16.8