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  1. AP Physics 1
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Label the diagram of Gravitational Field Lines.

Lines point towards the center of mass, density indicates field strength.

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Label the diagram of Gravitational Field Lines.

Lines point towards the center of mass, density indicates field strength.

Label the diagram of a Satellite Orbiting a Planet.

Planet (M), Satellite (m), Orbital Radius (r), Gravitational Force (F).

Steps to derive the gravitational field equation.

  1. F=Gm1m2r2F = G \frac{m_1 m_2}{r^2}F=Gr2m1​m2​​ (Gravitational Force), 2. F=m1aF = m_1 aF=m1​a (Newton's Second Law), 3. m1a=Gm1m2r2m_1 a = G \frac{m_1 m_2}{r^2}m1​a=Gr2m1​m2​​ (Equate forces), 4. a=Gm2r2a = G \frac{m_2}{r^2}a=Gr2m2​​ (Solve for acceleration), 5. g=GMr2g = G \frac{M}{r^2}g=Gr2M​ (Replace aaa with ggg, m2m_2m2​ with MMM).

Steps to calculate gravitational force between two objects.

  1. Identify the masses m1m_1m1​ and m2m_2m2​. 2. Measure the distance rrr between their centers. 3. Use the formula F=Gm1m2r2F = G \frac{m_1 m_2}{r^2}F=Gr2m1​m2​​ with G=6.67×10−11Nm2/kg2G = 6.67 \times 10^{-11} Nm^2/kg^2G=6.67×10−11Nm2/kg2.

Steps to find 'g' on a planet's surface.

  1. Identify the planet's mass MMM and radius rrr. 2. Use the formula g=GMr2g = G \frac{M}{r^2}g=Gr2M​ with G=6.67×10−11Nm2/kg2G = 6.67 \times 10^{-11} Nm^2/kg^2G=6.67×10−11Nm2/kg2.

Steps to determine orbital speed of a satellite.

  1. Equate gravitational force to centripetal force: GMmr2=mv2rG \frac{Mm}{r^2} = m\frac{v^2}{r}Gr2Mm​=mrv2​. 2. Solve for vvv: v=GMrv = \sqrt{\frac{GM}{r}}v=rGM​​ where rrr is the orbital radius.

Steps to solve free fall problems.

  1. Identify initial conditions (velocity, height). 2. Use kinematic equations with a=g=9.8m/s2a = g = 9.8 m/s^2a=g=9.8m/s2. 3. Solve for unknowns (time, final velocity, distance).

In a diagram of gravitational field lines, what does the direction of the lines indicate?

The direction of the gravitational force; field lines point towards the center of the mass creating the field.

In a diagram of gravitational field lines, what does the spacing of the lines indicate?

The strength of the gravitational field; closer lines indicate a stronger field.

A satellite is orbiting a planet. What force provides the centripetal force?

The gravitational force between the planet and the satellite.

If a planet has a greater mass, how would its gravitational field lines differ from a planet with less mass?

The planet with greater mass would have more dense and closely spaced gravitational field lines.

What is the shape of the gravitational field lines surrounding a spherical object?

Radially inward, converging towards the center of the sphere.