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vodka [1.7K]
2 years ago
11

Which of the balls will exert the greatest force on object A?Why?

Physics
1 answer:
iren [92.7K]2 years ago
7 0

F = mass × Acceleration ( give Acceleration is 9.8 )

So force of 5 kg mass on A is

F = 5 × 9.8 = 49N

Force of mass 1 kg on A

F = 1 × 9.8 = 9.8 N

Force of mass 10 kg on A is

F = 10 × 9.8 = 98N

Clearly the 10 kg ball experts the most force cause it has more mass

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Consider the 4-step staircase. All steps provide an equal elevation gain. The potential energy (PE) on the top step is 16.0 J. D
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Potential energy, PE = 0, 4, 8 and 12 at level 1, 2, 3, 4 respectively.

At Level 5, potential energy = 0 and Kinetic energy = 24 J.

<h3>Potential and Kinetic energy</h3>

Potential energy is the energy a body has by virtue of its position or state.

The formula for calculating the potentials energy of a body is given as:

  • Potential energy, PE = mgh

where m = mass of the body

g = acceleration due to gravity

h = height

Kinetic energy is the the energy a body has by virtue of its motion.

The formula for calculating kinetic energy of a body is given as:

  • Kinetic energy, KE = 1/2mv^2

The sum of the kinetic energy and potential energy of a body is constant.

Assume the ball has unit mass; m = 1

g = 10 m/s^2

At the top, total energy of the body = 16 + 8 = 24J

Calculating the gain in height for each step:

At Level 4, PE = 16 J

mgh = 16 J

1 × 10 × h = 16

h = 16/10

h = 1.6 m

Since there are four steps, each step will have a height increase = 1.6/4 = 0.4

At Level 1, h = 0

PE = 0 × 1 × 10

PE = 0 J

At Level 2, h = 0.4 m

PE = 0.4 × 1 × 10

PE = 4 J

At Level 3, h = 0.8 m

PE = 0.8 × 1 × 10

PE = 8 J

At Level 5, PE + KE = 24 J

Since PE = 0

KE = 24

Therefore, potential energy, PE = 0, 4, 8 and 12 at level 1, 2, 3, 4 respectively.

At Level 5, potential energy = 0 and Kinetic energy = 24 J.

Learn more about potential energy and Kinetic energy at: brainly.com/question/14427111

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A 7.00 kg ball hits a 75.0 kg man standing at rest on ice. The man catches the ball. How fast does the ball need to be moving in
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<h3>Answer:</h3>

\displaystyle \overline{v_{1i}} = 35.1429 \ \frac{m}{s}

<h3>General Formulas and Concepts:</h3>

<u>Math</u>

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Physics</u>

<u>Momentum</u>

Momentum Formula: \overline{P} = m \overline{v}

  • P is momentum (in kg · m/s)
  • m is mass (in kg)
  • v is velocity (in m/s)

Law of Conservation of Momentum: \sum \overline{P_i} = \sum \overline{P_f}

  • States that the sum of initial momentum must equal the sum of final momentum
<h3>Explanation:</h3>

<u>Step 1: Define</u>

[LCM] \sum \overline{P_i} = \sum \overline{P_f}  →  m_{1} \overline{v_{1i}} + m_{2} \overline{v_{2i}} = (m_{1} + m_{2}) \overline{v_{f}}

m₁ (ball) = 7.00 kg

m₂ (man) = 75.0 kg

\overline{v_{1i}} = ?

\overline{v_{2i}} = 0 \ \frac{m}{s} (man starts from rest)

\overline{v_{f}} = 3.00 \ \frac{m}{s} (the ball and the man are one mass because the man catches and <em>keeps</em> the ball)

We know no energy is lost because it is a frictionless surface. The collision should be perfectly elastic.

<u>Step 2: Solve</u>

  1. Substitute in variables [Law of Conservation of Momentum]:                    \displaystyle (7.00 \ kg) \overline{v_{1i}} + (75.0 \ kg)(0 \ \frac{m}{s}) = (7.00 \ kg + 75.0 \ kg)(3.00 \ \frac{m}{s})
  2. Multiply:                                                                                                           \displaystyle (7.00 \ kg) \overline{v_{1i}} + 0 = 246 \ kg \cdot \frac{m}{s}
  3. Simplify:                                                                                                          \displaystyle (7.00 \ kg) \overline{v_{1i}} = 246 \ kg \cdot \frac{m}{s}
  4. [Division Property of Equality] Isolate unknown:                                           \displaystyle \overline{v_{1i}} = \frac{246}{7} \ \frac{m}{s}
  5. [Evaluate] Divide:                                                                                           \displaystyle \overline{v_{1i}} = 35.1429 \ \frac{m}{s}

The initial speed of the ball should be approximately 35.14 m/s.

8 0
3 years ago
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