If Emily throws the ball at an angle of 30∘ below the horizontal with a speed of 14m/s, how far from the base of the dorm should Allison stand to catch the ball? Assume the vertical distance between where Emily releases the ball and Allison catches it is 8.0m.

During a tennis match, a player serves the ball at 25.6 m/s, with the center of the ball leaving the racquet horizontally 2.34 m above the court surface. The net is 12.0 m away and 0.900 m high. When the ball reaches the net, (a) what is the distance between the center of the ball and the top of the net? (b) Suppose that, instead, the ball is served as before but now it leaves the racquet at 5.00° below the horizontal. When the ball reaches the net, what now is the distance between the center of the ball and the top of the net? Enter a positive number if the ball clears the net. If the ball does not clear the net, your answer should be a negative number. Use g=9.81 m/s².

The nucleus of 8Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 3.40 10-15 m apart? Your response differs from the correct answer by more than 10%. Double check your calculations. N (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u. m/s2

A passenger on a moving train walks at a speed of 1.60 m/s due north relative to the train. The passenger's speed with respect to the ground is 4.5 m/s at an angle of 35.0° west of north. What are the magnitude and direction of the velocity of the train relative to the ground? _______m/s direction ______ ° west of north

the force exerted by a spring is given by the equation

where F is the force (in Newtons), xis the displacement of the spring from the equilibrium position (in centimeters), and k is a spring constant

Create an Excel worksheet showing force as a function of displacement for two springs whose spring constants are 0.1 N/cm and 0.5 N/cm.  Use displacements ranging from 0 to 20 cm (i.e. let x = 0, 1, 2 … 20 cm).

From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 7.90 m/s and angle of 19.0° below the horizontal. It strikes the ground 6.00 s later.

(a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.)

xi =

yi =

(b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.

vi, x = _______ m/s

vi, y = _______m/s

(c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.)

x =_____ m

y = ____m

(d) How far horizontally from the base of the building does the ball strike the ground?

_______m

(e) Find the height from which the ball was thrown.

______m

(f) How long does it take the ball to reach a point 10.0 m below the level of launching?

Please show work

Express the following quantities using the prefixes given in the table. (Enter a numeric value between 0.1 and 100, and choose the appropriate units.)

(a) 3 ✕ 10¹¹ m
  ------ Select ------ yoctometers zeptometers attometers femtometers picometers nanometers micrometers millimeters centimeters decimeters dekameters kilometers megameters gigameters terameters petameters exameters zettameters yottameters

(b) 6 ✕ 10^-5 s
  ------ Select ------ yoctoseconds zeptoseconds attoseconds femtoseconds picoseconds nanoseconds microseconds milliseconds centiseconds deciseconds dekaseconds kiloseconds megaseconds gigaseconds teraseconds petaseconds exaseconds zettaseconds yottaseconds

(c) 4 ✕ 10^-10 g
  ------ Select ------ yoctograms zeptograms attograms femtograms picograms nanograms micrograms milligrams centigrams decigrams dekagrams kilograms megagrams gigagrams teragrams petagrams exagrams zettagrams yottagrams

In this module, you will look for an article or news story/video that relates to one or more of the following topics:

Conservative versus non-conservative forces

Potential Energy

Conservation of energy (as it relates to physics, not environmental friendliness)

These are pretty broad topics, but a few ideas should spring readily to mind.

By the end of the third day of the module, create a thread with a 250-word post including one or more of the topics listed above, an active hyperlink to your resource, a summary of the resource itself, a summary of the material you are learning in this module as it relates to your resource, and an explanation of how the topic or resource ties to your everyday life.

Question is not related to a lecture. Just requires an article, explanation of the article, and how Conservative versus non-conservative forces, Potential Energy, or Conservation of energy (as it relates to physics, not environmental friendliness) apply to that article.

A 28.0-kg block is connected to an empty 2.56-kgbucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.41 and the coefficient of kinetic friction between the table and the block is 0.32. Sand is gradually added to the bucket until the system just begins to move. Ignore mass of cord. (Figure 1)

Calculate the mass of sand added to the bucket.

Calculate the acceleration of the system.

Calculate the number of free electrons per cubic centimeter (and per atom) for sodium from resistance data (relaxation time 3.1*10^-14 s)

Rent a rideshare bike and ride it throughout the course at a pace that elevates your heartbeat
somewhat, but without over-exertion. Time your ride and calculate your average speed. Draw a
force diagram for the bicycle’s motion, and label it with estimates of each force. Calculate the
power you used during your ride to maintain your average speed, in watts and then in
horsepower. Calculate the (exercise) Calories you burned during your ride. (My time was 8.23 minutes for 1.3 miles)

Rent a rideshare scooter and ride it throughout the same course at a safe speed. Try to go
somewhat faster than the bike, but most importantly stay safe. Time your ride and calculate your
average speed. Draw a force diagram and label it with estimates of each force. Calculate the
power used by the electric motor to maintain your average speed, in watts and then in
horsepower. (My time was 1.2 miles for 11minutes and 10mph.)
In both calculations, include estimates for resistance from both surface friction and air. You will
need to research a plausible (e.g., order of magnitude) estimate for (a) the coefficient of rolling
friction from the wheels (used in the same way as the coefficient of kinetic friction we discuss in
class problems), and (b) drag from air resistance. Which is larger?

MAke sure to calculate air resistance and friction resistance for the bike and scooter. Draw force diagrams for the bike and scooter.

What are Kepler’s Three Laws and why are they important?

Find out the magnitude as well as the direction of the following vectors:

A_x = 22.0 cm; A_y = 33.0 cm;

B_x = -11.0 m; B_y = 84.5 m;

C_x = -77.3 mm; C_y = -66.7 mm;

D_x = 34.5 m/s; D_y = -56.9 m/s.

A small mailbag is released from a helicopter that is descending steadily at 1.07 m/s.

(a) After 5.00 s, what is the speed of the mailbag?

v = _____ m/s

(b) How far is it below the helicopter?

d = _____ m

(c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.07 m/s?

You have three 1.3 kΩ resistors.

A.) What is the value of the equivalent resistance for the three resistors connected in series?

B.) What is the value of the equivalent resistance for a combination of two resistors in series and the other resistor connected in parallel to this combination?

C.) What is the value of the equivalent resistance for a combination of two resistors in parallel and the other resistor connected in series to this combination?

D.) What is the value of the equivalent resistance for the three resistors connected in parallel?