2. Find the velocity when the displacement is 40 m and the time is 5 s.

A 500-g lump of clay is dropped onto a 1-kg cart moving at 60 cm/s. The clay is moving downward at 30 cm/s just before l dith t

viktelen [127]

Answer:

The speed of the cart and clay after the collision is 50 cm/s .

Explanation:

Given :

Mass of lump , m = 500 g = 0.5 kg .

Velocity of lump , v = 30 cm/s .

Mass of cart , M = 1 kg .

Velocity of cart , V = 60 cm/s .

We know by conservation of momentum :

$mv+MV=(m+M)v'$

Here , $v'$ is the speed of the cart and clay after the collision .

Putting all value in above equation .

We get :

$0.5\times 30+1\times 60=(0.5+1)\times v'\\\\v'=\dfrac{15+60}{1.5}\\\\v'=50\ cm/s$

Hence , this is the required solution .

3 0

3 years ago

Suppose light from a 632.8 nm helium-neon laser shines through a diffraction grating ruled at 520 lines/mm. How many bright line

Leya [2.2K]

Answer:

1 bright fringe every 33 cm.

Explanation:

The formula to calculate the position of the m-th order brigh line (constructive interference) produced by diffraction of light through a diffraction grating is:

$y=\frac{m\lambda D}{d}$

where

m is the order of the maximum

$\lambda$ is the wavelength of the light

D is the distance of the screen

d is the separation between two adjacent slit

Here we have:

$\lambda=632.8 nm = 632.8\cdot 10^{-9} m$ is the wavelength of the light

D = 1 m is the distance of the screen (not given in the problem, so we assume it to be 1 meter)

$n=520 lines/mm$ is the number of lines per mm, so the spacing between two lines is

$d=\frac{1}{n}=\frac{1}{520}=1.92\cdot 10^{-3} mm = 1.92\cdot 10^{-6} m$

Therefore, substituting m = 1, we find:

$y=\frac{(632.8\cdot 10^{-9})(1)}{1.92\cdot 10^{-6}}=0.330 m$

So, on the distant screen, there is 1 bright fringe every 33 cm.

6 0

3 years ago

Compare the planets Mars and Saturn. Describe how their common characteristics are similar and Compare the planets Earth and Nep

nordsb [41]

Question no. 1. Compare the planets Mars and Saturn. Describe how their common characteristics are similar:

Answer: Our solar system is located in the outer spiral arm of the milky way galaxy. our solar system has one sun and nine revolving planets and . namely

Mercury
Venus
Earth
Mars
Jupiter
Saturn
Uranus
Neptune
Pluto (small planet usually refer as dwarf)

Each star has its on moon/moons and has its own characteristics i.e , planet must be a celestial body , must have orbit around sun, have enough mass for self gravity, big enough to have gravity that clear its path from other same size object close to its orbit around sun.

Mars is the fourth from the sun and sixth is the Saturn from the sun in our solar system.

Common in Characteristics of Mars and Saturn:

Mars and Saturn both have celestial body.
Mars and Saturn both have enough mass for the gravity to get rid of rigid body forces.
Mars and Saturn both revolve around the sun in their own orbits.
Mars is the second smallest in the solar system while Saturn is second largest in the solar system.
Mars and Saturn both have their own moons. Mars has two while Saturn has 83 moons
Mars and Neptune both do not support life.

Question no. 2. Compare the planets Earth and Neptune. Describe how are they different from each other

Answer:

Earth our home planet is the third from the sun and Neptune on the other hand is the eighth from the sun in the solar system.

Common differences between Earth and Neptune

Earth is the terrestrial planet while Neptune (Ice giant) is the Jovian planet.
Earth has no ring around it, Neptune has ring around it.
Earth is closer to the sun and Neptune is far distant from the sun.
Earth consists of rocks and metals on the other hand Neptune contain gases
Earth is smaller than the Neptune in the solar system.
Earth rotates slower and Neptune rotates faster.

4 0

3 years ago

Before Freddy lands on the skateboard it has a certain momentum. After landing, the skateboards momentum

Nadya [2.5K]

Answer:

remains the same

Explanation:

Momentum refers to the quantity of motion of a body. When any body of mass moves, it possess momentum. Numerically,

Momentum = mass x velocity

i.e. momentum is the product of the mass x velocity

Momentum of a body is always conserved.

In the context, the skateboard has certain momentum before Freddy lands on it. After Freddy lands, the momentum of skateboard remains the same, there is no change in the momentum.

This is because, here the momentum is conserved. After Freddy lands on the skateboard, the total mass on the skateboard increases and so the velocity decreases making the momentum same before the landing.

3 0

2 years ago

Evaluate tan(249). O A. 1.36 B. 0.45 C. 0.41 D. 0.91

vodomira [7]

Answer:

tan 249 = 2.61

tan 249 = tan (249 - 180) = tan 69 = 2.61

3 0

2 years ago