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
Ulleksa [173]
1 year ago
9

A projectile is launched with initial velocity vo. If a second projectile is launched with half of the initial velocity of the f

irst projectile. Compare the range of the second projectile with the first one:
Physics
1 answer:
brilliants [131]1 year ago
3 0

Comparison of the range:

If a second projectile is launched with half of the initial velocity of the first projectile. The range of the second projectile is one-fourth of the first one.

Calculation:

Step-1:

It is given that the first particle has an initial velocity of v_0, and the second particle has an initial velocity of \frac{v_0}{2}. It is required to compare the range of the second projectile with the first one.

It is known that the range of a projectile is calculated as,

R=\frac{u^{2} \sin 2 \theta}{g}

Where u is the initial speed, g is the acceleration due to gravity, and \theta is the angle at which the particle is thrown.

This problem \theta is the same in both cases.

Step-2:

Therefore the range of the first projectile is,

R_1=\frac{v_0^{2} \sin 2 \theta}{g}

The range of the second projectile is,

$$\begin{aligned}R_2&=\frac{(\frac{v_0}{2})^{2} \sin 2 \theta}{g}\\&=\frac{v_0^2\sin 2 \theta}{4g}\\\end{aligned}$$

Therefore,

$$\begin{aligned}\\\frac{R_2}{R_1}&=\frac{1}{4}\\\Rightarrow R_2&=\frac{1}{4}R_1\\\end{aligned}\\$$

Learn more about the range of a projectile here:

brainly.com/question/17016688

#SPJ4

You might be interested in
If my mass is 105 kilograms; what is my weight on Earth?
lyudmila [28]

Answer:

1029N

Explanation:

use W =mg and get answer

6 0
2 years ago
The reflective surface of a CD consists of spirals of equally spaced grooves. If you shine a laser pointer on a CD, each groove
Ipatiy [6.2K]

Answer:

d = 1.55 * 10⁻⁶ m

Explanation:

To calculate the distance between the adjacent grooves of the CD, use the formula, d = \frac{m \lambda}{sin(A_{m}) }..........(1)

The fringe number, m = 1 since it is a first order maximum

The wavelength of the green laser pointer, \lambda = 532 nm = 532 * 10⁻⁹ m

Distance between the central maximum and the first order maximum = 1.1 m

Distance between the screen and the CD = 3 m

A_{m} = Angle between the incident light and the diffracted light

From the setup shown in the attachment, it is a right angled triangle in which

sin(A_{m}) = \frac{opposite}{Hypotenuse} \\sin(A_{m}) =\frac{1.1}{\sqrt{1.1^{2}+3^{2}}}

sin(A_{m} ) = 0.344\\A_{m} = sin^{-1} 0.344\\A_{m} = 20.14^{0}

Putting all appropriate values into equation (1)

d = \frac{1* 532*10^{-9} }{0.344 }\\d = 0.00000155 m\\d = 1.55 * 10^{-6} m

3 0
3 years ago
If the car ha a mass of 1000 kilograms, what is its momentum (v=35m/s)
Black_prince [1.1K]

Answer:

<em>The momentum of the car is 35,000 kg.m/s</em>

Explanation:

<u>Momentum</u>

Momentum is often defined as <em>mass in motion.</em>

Since all objects have mass, if it's moving, then it has momentum. It can be calculated as the product of the mass by the velocity of the object:

\vec p = m\vec v

If only magnitudes are considered:

p = mv

The car has a mass of m=1,000 kg and travels at v=35 m/s. Calculating its momentum:

p = 1,000 kg * 35 m/s

p = 35,000 kg.m/s

The momentum of the car is 35,000 kg.m/s

4 0
2 years ago
A toy car moves 8 min 4 s at the constant velocity. What is the car's velocity?
Schach [20]

Explanation:

<u>Formula:</u>

velocity = (d \div t)

<u>d = distance given</u>

<u>t</u><u> </u><u>=</u><u> </u><u>the amount of time </u><u>given</u>

<u>Substitute the given values into the formula for velocity</u><u>:</u>

v = 8 \div 4

velocity is shortened for v.

8 (distance) divided by 4 (time) equals the velocity.

<u>Solve:</u>

2 = 8 \div 4

The velocity of the toy car equals: B. 2 m/s.

6 0
2 years ago
A river flows due south with a speed of 2.0 m/s. You steer a motorboat across the river; your velocity relative to the water is
neonofarm [45]

Answer:

a) 25.5°(south of east)

b) 119 s

c) 238 m

Explanation:

solution:

we have river speed v_{r}=2 m/s

velocity of motorboat relative to water is v_{m/r}=4.2 m/s

so speed will be:

a) v_{m}=v_{r}+v_{m/r}

solving graphically

v_{m}=\sqrt{v^2_{r}+v^2_{m/r}}

     =4.7 m/s

Ф=tan^{-1} (\frac{v_{r}}{v_{m/r}} )

  =25.5°(south of east)

b) time to cross the river: t=\frac{w}{v_{m/r}}=\frac{500}{4.2}=119 s

c) d=v_{r}t=(2)(119)=238 m

note :

pic is attached

6 0
3 years ago
Other questions:
  • Type a nerve fibers in humans can conduct nerve impulses at speeds up to 140 m/s. (a) how fast are the nerve impulses in miles p
    9·1 answer
  • 1. What quantity of heat is required to raise
    14·1 answer
  • Which phrase is the best definition of matter
    6·1 answer
  • Three cars are tested in a 16 m/s frontal crash. The results of the crash tests are shown below, with data indicating how much t
    9·2 answers
  • A dogs tail hit a 1.3kg flower vase, knocking it over. the net force on the flower vase over time is shown below
    14·1 answer
  • Help on this question ‼️
    9·2 answers
  • When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 41 ss to walk from your gate to baggage
    12·1 answer
  • An air track car with a mass of 6 kg and velocity of 4 m/s to the right collides with a 3 kg car moving to the left with a veloc
    12·1 answer
  • According to einstein's theory of simple relativity (_E + mc(2)_). BLANK is converted into BLANK.
    10·1 answer
  • If the average density of the Universe is small compared with the critical density, the expansion of the Universe described by H
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!