Answer:
The acceleration of the box is 1.125 m/s² towards right.
Explanation:
Mass of the box,
kg
Force acting towards right,
N
Frictional force acting towards left,
N
Let the acceleration be
m/s².
Now, net force acting on the box towards right is given as:

From Newton's second law of motion,

Therefore, the acceleration of the box is 1.125 m/s² towards right.
Answer:
Option D. 9.47 V
Explanation:
We'll begin by calculating the equivalent resistance of the circuit. This can be obtained as follow:
Resistor 1 (R₁) = 20 Ω
Resistor 2 (R₂) = 30 Ω
Resistor 3 (R₃) = 45 Ω
Equivalent Resistance (R) =?
R = R₁ + R₂ + R₃ (series connections)
R = 20 + 30 + 45
R = 95 Ω
Next, we shall determine the current in the circuit. This can be obtained as follow:
Voltage (V) = 45 V
Equivalent Resistance (R) = 95 Ω
Current (I) =?
V = IR
45 = I × 95
Divide both side by 95
I = 45 / 95
I = 0.4737 A
Finally, we shall determine, the voltage across R₁. This can be obtained as follow:
NOTE: Since the resistors are in series connection, the same current will pass through them.
Current (I) = 0.4737 A
Resistor 1 (R₁) = 20 Ω
Voltage 1 (V₁) =?
V₁ = IR₁
V₁ = 0.4737 × 20
V₁ = 9.47 V
Therefore, the voltage across R₁ is 9.47 V.
Radiation is the emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles that cause ionization.
Or, Radiation is the energy transmitted by heat, light, electricity, etc. However, your question term is convection.
To solve this problem it is necessary to apply the concepts related to the conservation of energy and heat transferred in a body.
By definition we know that the heat lost must be equal to the heat gained, ie

Where,
Q = Heat exchange
The heat exchange is defined as

Where,
Specific heat
m = mass
Change in Temperature
Therefore replacing we have that


Replacing with our values we have that




Therefore the highest possible temperature of the spoon when you finally take it out of the cup is 75.24°C