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Anastaziya [24]
3 years ago
15

A baseball of mass 0.25 kg is hit at home plate with a speed of 40 m/s. When it lands in a seat in the left-field bleachers a ho

rizontal distance 120 m from home plate, it is moving at 30 m/s. If the ball lands 20 m above the spot where it was hit, how much work is done on it by air resistance?
Physics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Answer:

the work done by air resistance is 38.5 J

Explanation:

given information:

mass of the ball, m = 0.25 kg

initial speed, v_{1} = 40 m/s

final speed, v_{2} = 30 m/s

horizontal distance, x = 120 m

Δh = 20 m

according to conventional energy

W = E_{2} - E_{1}

where

E_{1} is initial energy

E_{2}  is final energy

E = KE + PE

KE is kinetic energy

PE is potential energy

W = E_{2} - E_{1}

   = mgh_{2} + \frac{1}{2} mv_{2} ^{2} - (mgh_{1} + \frac{1}{2} mv_{1} ^{2})

   = mg(h_{2} -h_{1} )+ \frac{1}{2} m(v_{2} ^{2} - v_{1} ^{2})

   = m (gΔh + \frac{1}{2} (v_{2} ^{2} - v_{1} ^{2}))

   = 0.25 ( (9.8) (20) + \frac{1}{2} (30 ^{2} - 40 ^{2}))

   = - 38.5 J

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To find the energy of the electromagnetic wave;

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Please help me with this question​
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Answer:

1. 12 V

2a. R₁ = 4 Ω

2b. V₁ = 4 V

3a. A = 1.5 A

3b. R₂ = 4 Ω

4. Diagram is not complete

Explanation:

1. Determination of V

Current (I) = 2 A

Resistor (R) = 6 Ω

Voltage (V) =?

V = IR

V = 2 × 6

V = 12 V

2. We'll begin by calculating the equivalent resistance. This can be obtained as follow:

Voltage (V) = 12 V

Current (I) = 1 A

Equivalent resistance (R) =?

V = IR

12 = 1 × R

R = 12 Ω

a. Determination of R₁

Equivalent resistance (R) = 12 Ω

Resistor 2 (R₂) = 8 Ω

Resistor 1 (R₁) =?

R = R₁ + R₂ (series arrangement)

12 = R₁ + 8

Collect like terms

12 – 8 =

4 = R₁

R₁ = 4 Ω

b. Determination of V₁

Current (I) = 1 A

Resistor 1 (R₁) = 4 Ω

Voltage 1 (V₁) =?

V₁ = IR₁

V₁ = 1 × 4

V₁ = 4 V

3a. Determination of the current.

Since the connections are in series arrangement, the same current will flow through each resistor. Thus, the ammeter reading can be obtained as follow:

Resistor 1 (R₁) = 4 Ω

Voltage 1 (V₁) = 6 V

Current (I) =?

V₁ = IR₁

6 = 4 × I

Divide both side by 4

I = 6 / 4

I = 1.5 A

Thus, the ammeter (A) reading is 1.5 A

b. Determination of R₂

We'll begin by calculating the voltage cross R₂. This can be obtained as follow:

Total voltage (V) = 12 V

Voltage 1 (V₁) = 6 V

Voltage 2 (V₂) =?

V = V₁ + V₂ (series arrangement)

12 = 6 + V₂

Collect like terms

12 – 6 = V₂

6 = V₂

V₂ = 6 V

Finally, we shall determine R₂. This can be obtained as follow:

Voltage 2 (V₂) = 6 V

Current (I) = 1.5 A

Resistor 2 (R₂) =?

V₂ = IR₂

6 = 1.5 × R₂

Divide both side by 1.5

R₂ = 6 / 1.5

R₂ = 4 Ω

4. The diagram is not complete

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2 years ago
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