Answer:
F = +17.48 N
Explanation:
We have,
Electric charge is +0.638 C and the electric field is 27.4 N/C to the right.
It is required to find the electric force felt by the electric charge.
When a charged particle is placed in electric field, it will posses electric force. The sign of force depends on the charged particle.
The electric force is given by :
So, the electric force is 17.48 N and the force is positive.
It works because the paper clip is heavier and more magnetic to the magnet
Answer:
−8.59 m/s.
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = −4.0 m/s
Acceleration (a) = −0.27 m/s²
Time (t) = 17 s
Final velocity (v) =?
Acceleration is defined as the change of velocity with time. Mathematically, it is expressed as:
Acceleration = change of velocity / time
Acceleration = (final velocity – Initial velocity) / time
a = (v – u) / t
With the above formula, we can determine the velocity of the train after 17 s. This can be obtained as follow:
Initial velocity (u) = −4.0 m/s
Acceleration (a) = −0.27 m/s²
Time (t) = 17 s
Final velocity (v) =?
a = (v – u) / t
−0.27 = (v – –4 ) / 17
−0.27 = (v + 4 ) / 17
Cross multiply
−0.27 × 17 = v + 4
−4.59 = v + 4
Collect like terms
−4.59 – 4 = v
−8.59 = v
v = −8.59 m/s
Thus, the velocity of the train after 17 s is −8.59 m/s.
Answer:
Temperature of water leaving the radiator = 160°F
Explanation:
Heat released = (ṁcΔT)
Heat released = 20000 btu/hr = 5861.42 W
ṁ = mass flowrate = density × volumetric flow rate
Volumetric flowrate = 2 gallons/min = 0.000126 m³/s; density of water = 1000 kg/m³
ṁ = 1000 × 0.000126 = 0.126 kg/s
c = specific heat capacity for water = 4200 J/kg.K
H = ṁcΔT = 5861.42
ΔT = 5861.42/(0.126 × 4200) = 11.08 K = 11.08°C
And in change in temperature terms,
10°C= 18°F
11.08°C = 11.08 × 18/10 = 20°F
ΔT = T₁ - T₂
20 = 180 - T₂
T₂ = 160°F