The table below shows the energy of a 10 kg ball as a function of velocity. how much energy will the ball have at 10 m/s?

velocity 0,2,3,6,10

energy 0,24,54,216,?

600 J

Explanation:

Energy is proportional to the square of the velocity of a body.

From the table, when the velocity is 2 m/s, then the energy is 24 J.

If we take the square of the velocity,we get . So, we need to multiply 4 to 6 to get the energy equal to 24 as . Similar formula can be observed for the next value also.

For velocity equal to 3 m/s, the energy is given as:

.

Therefore, the general formula to find the energy is given as:

Now, for velocity equal to 10 m/s, energy is given as:

Therefore, the ball will have 600 J of energy at 10 m/s.

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.