# Problems and Answers

#### Astronomy

How long it takes Mars to complete one full orbit of the Sun

Ma orbit is larger than Eath's orbit, so it is a superior planet.
Mathematical relation for superior planet's sidereal period and synodic period is
where: P: Superior p...

#### Classical Mechanics

Projectile Motion – Fired at ground level

A football is kicked with an initial velocity of 25 m/s at an angle of 45-degrees with the horizontal. Determine the time of flight, the horizontal displacement, and the peak height of the football .....

Projectile Motion – Pool ball leaves the table with initial horizontal velocity

A pool ball leaves a 0.20-meter high table with an initial horizontal velocity of 2.4 m/s. Predict the time required for the pool ball to fall to the ground and the horizontal distance between the tab...

Force on a batted ball – Impulse

A baseball (m = 0.14 kg) thrown by a pitcher reaches a bat with a velocity of 32.0 m/s in a horizontal direction.
a) Computer the impulse that must be applied to the ball if it is to leave the...

Average impact force between and airliner and a bird

Estimate the average impact force between an airliner traveling at 260 m/s and with a 0.3 kg bird whose length is 20 cm?The change in velocity of the bird is estimated to be 260 m/s
Thes...

Find Earth angular momentum

Find Earth angular momentum using Earth-Sun distance and mass of Earth?
Earth - Sun distance 149.6x109 m
Mass of the Earth 5.9742x1024 kgEarth angular momentumFor an orbit, angular momen...

Find speed of a satellite placed at geostationary orbit

A 270 kg communication satellite is placed in a geostationary orbit 35,780 km above a relay Earth ground level. What is the speed of the satellite in orbit?
A geostationary o...

#### Optics

An observer looking across a swimming pool at point C views a light ray

An observer looking across a swimming pool at point C views a light ray coming from a point A on the opposition side of the pool at the bottom. The ray leaves the water at a point 1.7 mete from oppos...

Light of intensity 50 Wm2 is incident on a glass windowpane

Light of inteity 50 W/m2 is incident on a glass windowpane (n = 1.5), with rays approximately perpendicular to the surface, as show in figure below. Find the inteity I1, I2, and I3....

Light passes from air to another medium

Light passes from air to another medium at point A. How long does it take the light ray to travel from A to B?
Using the geometry we can find refract...

A light ray is incident on a glass plate at an angle of 40 degrees

A light ray is incident on a glass plate at an angle of 40° as shown in the figure.
a) Find angles Α, Β, and Γ?
b) Will any of the light striking the side of the glass plate at...

Convergence lens focal length and power

Below diagram shows a sketch of the le with the surface labeled in reference to their curvature as seen from the left side, assume to be the side of the incident light. The le is made out of gla...

Convergence lens with different radii

A certain thin le made from glass has surfaces with radii R1 = +10cm and R2= +8cm.
a) Sketch the le?
b) Find the focal length?
c) Image distance for an object distance at 15cm?...

#### Quantum Mechanics

Determine the electrostatic energy of electron

An electron on the surface of liquid He is bound 10 nm above the surface by the polarization of the liquid He. Determine the electrostatic energy of the electron relative to infinity? (D. Yoshioka, Th...