Projectile Speed and Acceleration Quiz
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Questions and Answers

What is the formula for the speed of a projectile leaving Earth's surface?

  • (b) K log 0 + V0
  • (c) K log
  • (a) K log + V0 (correct)
  • (d) log 0 V0

If a projectile leaves Earth's surface with a speed of $2rac{r_1}{r_2} imes rac{M}{m} g_re$, what would its speed be far away from Earth?

  • 2gRe
  • 2 gRe (correct)
  • N2 1 N2
  • g Re

What is the percentage change in the acceleration of Earth towards the Sun during a total eclipse compared to when the Moon is directly opposite to the Sun?

  • g Re
  • 100 g Re
  • 2gRe
  • 2gRe

A straight rod of length L extends from x = a to x = L + a. What is the gravitational force it exerts on a point mass m at x = 0 if the linear density of the rod µ = A + Bx^2?

<p>(a) 2 gRe (B)</p> Signup and view all the answers

If an artificial satellite moves in a circular orbit around Earth with a speed equal to half the escape velocity, what is the height (h) of the satellite above Earth's surface?

<p>$Re$ (D)</p> Signup and view all the answers

What is the formula for calculating the height of an artificial satellite moving in a circular orbit around Earth?

<p>$Re^2$ (C)</p> Signup and view all the answers

If a certain pendulum clock on Earth ticks 60 times in 1 minute, how many times will the same clock tick in 1 minute on the Moon?

<p>30 (D)</p> Signup and view all the answers

What is the formula for the angular momentum of a satellite of mass $m_s$ revolving in a circular orbit of radius $r_s$ around the Earth of mass $M$?

<p>$(2 E m_s r_s^2)$ (C)</p> Signup and view all the answers

Ignoring Earth's rotation and air resistance, what is the maximum altitude attained by a shell fired vertically from Earth?

<p>$4NRE N^2$ (D)</p> Signup and view all the answers

What is the time period of a spy satellite orbiting a few hundred kilometers above Earth's surface if a geostationary satellite orbits at a radius of 36,000 km?

<p>4 hr (B)</p> Signup and view all the answers

In a region where the gravitational field is given by $I = -(K/r)$, what is the potential at a reference point $r = r_0$ with $V = V_0$?

<p>$V_0 - K/r_0$ (A)</p> Signup and view all the answers

What is the escape speed for Earth denoted by $V_{esc}$ if a missile is fired vertically from its surface?

<p>$G_m BL - 1/a + BLA + Aa$ (D)</p> Signup and view all the answers

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