1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slega [8]
3 years ago
6

On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a 6 iron. The acceleration due to gravity on t

he moon is 1/6 of its value on earth. Suppose he hits the ball with a speed of 23 m/s at an angle 25 degrees above the horizontal.
(a)How much farther did the ball travel on the moon than it would have on earth?

(b)For how much more time was the ball in flight?
Physics
1 answer:
kozerog [31]3 years ago
8 0

Answer:

a) 6 times farther.  b) 6 times longer.

Explanation:

Once released, in the horizontal direction, no other forces act on the ball, so it continues moving at the same initial velocity, which is given by the projection of the velocity vector in the horizontal direction, as follows:

vₓ = v* cos (25º) = 23 m/s * 0.906 = 20.8 m/s

In the vertical direction, the initial velocity is the projection of the velocity vector along the vertical axis, as follows:

vy = v* sin (25º) = 23 m/s * 0.422 = 9.72 m/s

Assuming that the acceleration is constant, and equal to 1/6*g, we can calculate the total time of flight, with the following kinematic equation for the vertical displacement:

y = voy*t - (\frac{1}{2}*\frac{g}{6} * t^{2} )

If the total displacement in the vertical direction is 0 (which means  that the time if the total time of flight), we can solve for t, as follows:

t = \frac{voy*12}{g} = \frac{9.72 m/s*12}{9.8m/s2} = 11. 9 s

On earth, this time could be calculated in the same way:

t = \frac{voy*12}{g} = \frac{9.72 m/s*2}{9.8m/s2} = 1.98 s

As the time is defined by the vertical movement, we can find the horizontal distance travelled on the moon, as follows:

Δx = v₀ₓ * t = 20.8 m/s * 11. 9 s = 248.1 m

On earth, the distance travelled had been as follows:

Δx = v₀ₓ * t = 20.8 m/s * 1.98 s = 41.3 m

⇒ Δx(moon) / Δx(earth) = 248.1 / 41.3 = 6.00

b) As we have just found, the time of flight on the moon and on the earth are as follows:

tmoon = 11. 9 s

tearth = 1.98 s

⇒ t(moon) / t(earth) = 11.9 / 1.98 = 6.0

You might be interested in
a 15kg television sits on a shelf at a height of 0.3 m how much gravitational potential energy is added to the television when i
DedPeter [7]

Answer:

<h2>103 Joules</h2>

Explanation:

In this problem we are required to find the potential energy possessed by the television

Given data

mass of television m = 15 kg

height  added above the ground, h= 1-0.3 = 0.7 m

acceleration due to gravity g = 9.81 m/s^2

apply the formula for potential energy we have

P.E= m*g*h

P.E = 15*9.81*0.7 = 103 Joules

7 0
3 years ago
Help on these 2 pls ASAP!!!!!!<br><br> BTW ITS A SCI QUESTION
kenny6666 [7]

Answer:

Net force

I think it’s balanced force

3 0
3 years ago
Read 2 more answers
The increase in volume of matter that occurs when matter is heated. a) Contraction b) Expansion c) kinetic energy d) Volume
katrin2010 [14]

Answer:

b) Expansion

Explanation:

In science, matter can be defined as anything that has mass and occupies space. Any physical object that is found on earth is typically composed of matter. Matter are known to be made up of atoms and as a result has the property of existing in states.

Generally, matter exists in three (3) distinct or classical phases and these are; solid, liquid and gas.

A physical change can be defined as a type of change that involves an increase or decrease in the volume of a physical object (object). Also, this change can be reversed to the original state under certain conditions.

The increase in volume of matter that occurs when matter is heated causes an expansion.

This ultimately implies that, when a physical object (matter) is heated for a specific period of time, it result in an increase in the volume of the object; this phenomenon is generally referred to as expansion.

On the other hand, a decrease in volume of a physical object (matter) as a result of heat is known as contraction.

7 0
3 years ago
If the potential across two parallel plates, separated by 4.0 cm, is 15.0 V, what is the electric field strength in volts per me
abruzzese [7]

Field strength = (15 V) / (4 cm)

Field strength = (15 V) / (0.04 meter)

Field strength = (15/0.04) (volts/meter)

<em>Field strength = 375 volts/meter </em>

3 0
3 years ago
Read 2 more answers
PLZ HELP!!!!!!!
kifflom [539]
<span>Match the basic components of a nuclear reactor with their descriptions. 1. slows down neutrons moderator - This is the substance that slows down fast neutrons and makes them slow neutrons which are easier to capture by the atomic nuclei so that the fission reaction can continue. 2. absorb emitted neutrons control rods - These are rods made up of a substance that easily absorbs neutrons. Their purpose is to slow down or shut down the reaction. 3. mass of unstable atoms nuclear fuel - The entire point of a nuclear reactor is the capture the energy released by the fission of unstable atoms. So this mass of unstable atoms is the fuel for the nuclear reactor. 4. concrete and lead enclosure shield - This is the enclosure that prevents radiation from escaping into the general environment. 5. energy transfer medium coolant - Since the purpose of a nuclear reactor is to generate usable energy, the coolant extracts heat from the fissioning core and that heat is generally used to boil water which in turn is used to operate turbines that power electrical generators.</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement is accurate about mass and weight?
    5·1 answer
  • Which formula can be used to find the show angle of the resultant vector? A)sin∅=Ry/Rx,B)tan∅=Rx/Ry, C)tan∅=Ry/Rx, D)sin∅=Rx/Ry
    10·2 answers
  • The convergence of two continental plates would produce
    11·1 answer
  • How does the electric force between two charged particles change if particle's charge is reduced by a factor of 3?
    14·2 answers
  • In a double-slit experiment, the slit separation is 2.0 mm, and two wavelengths, 750 nm and 900 nm, illuminate the slits. A scre
    6·1 answer
  • The equilibrium constant for a given reaction... Group of answer choices always increases with temperature. increases with tempe
    12·1 answer
  • Compasses line up with magnetic fields. A compass will line upA. Parallel to magnetic field lines, with the south pole pointing
    13·2 answers
  • The energy supplied to a speaker is increased. What will happen to the sound the speaker produces? A) The sound will be lower pi
    10·2 answers
  • 1. What do you think determines the type of traits you inherit?
    10·1 answer
  • An object completes 50 cycles in 150 s.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!