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Butoxors [25]
2 years ago
8

A ball, which has a mass of 1.25 kg, is thrown straight up from the top of a building 225 meters tall with a velocity of 52.0 m/

s. what will be the momentum of this ball just as it reaches the ground
Physics
1 answer:
Elena-2011 [213]2 years ago
6 0

First we will find the speed of the ball just before it will hit the floor

so in order to find the speed of the cart we will first use energy conservation

KE_i + PE_i = KE_f + PE_f

\frac{1}{2}mv_i^2 + mgh = \frac{1}{2}mv_f^2 + 0

\frac{1}{2}(1.25)(52)^2 + 1.25(9.8)(225) = \frac{1}{2}(1.25)v_f^2

So by solving above equation we will have

v_f = 84.3 m/s

now in order to find the momentum we can use

P = mv

P = 1.25 \times 84.3

P = 105.4 kg m/s

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Where would the weight of an explorer be greater?The summit of Chimborazo, in Ecuador, which is at a distance of about 6,384 km6
FromTheMoon [43]

Answer:

The weight would be greater in the Mariana because the radius of the earth is lower.

Explanation:

We will make a comparison through constants and equations to see which one is more viable.

Using the force of gravity

F = \frac{Gm}{R^2}

F = Gravity force

G= Gravitational constant

m= mass

R is the radius of the earth, R_E = 6384 km and R_M =6370  km

Density (\rho) is equal in both places,

-Gravity Force at Ecuador, F_E=\frac{Gm}{R_E^2}

-Gravity Force at bottom of Mariana trench, F_M=\frac{Gm}{R_M^2}

Making the relation,

\frac{F_E}{F_M}= \frac{\frac{Gm}{R_E^2}}{\frac{Gm}{R_M^2}}

\frac{F_E}{F_M}= (\frac{R_M}{R_E})^2

For the Ecuador,

F_E= F_M * \frac{R_M^2}{R_E^2}

If we take F_M * R_M^2 as a constant X then

F_E= \frac{X}{R_E^2}

So the gravity force of the place is inversely proportion of the radius

Same for the Mariana trench,

FM= \frac{X}{R_M^2}

Then, the weight would be greater in the Mariana because the radius of the earth is lower.

3 0
2 years ago
When you skid to a stop on your bike, you can significantly heat the small patch of tire that rubs against the road surface. Sup
Wittaler [7]

Answer:

W_f = 148.17J

Explanation:

During the exchange of applied force, thermal energy is generated by the friction that exists between the ground and the tire.

Said force according to the statement is the reaction of half the force on the rear tire. In this way the normal force acted is,

N=\frac{mg}{2} = \frac{90*9.8}{2} = 441N

The work done is given by the friction force and the distance traveled,

W_f = fd = \mu_k Nd

Where \mu_k [/ tex] is the coefficient of kinetic frictionN is the normal force previously found d is the distance traveled,Replacing,[tex]W_f = (0.80)(441)(0.42)

The thermal energy released through the work done is,

W_f = 148.17J

3 0
2 years ago
A charge Q is uniformly spread over one surface of a very large nonconducting square elastic sheet having sides of length d. At
GuDViN [60]

Answer:

E/4

Explanation:

The formula for electric field of a very large (essentially infinitely large) plane of charge is given by:

E = σ/(2ε₀)

Where;

E is the electric field

σ is the surface charge density

ε₀ is the electric constant.

Formula to calculate σ is;

σ = Q/A

Where;

Q is the total charge of the sheet

A is the sheet's area.

We are told the elastic sheet is a square with a side length as d, thus ;

A = d²

So;

σ = Q/d²

Putting Q/d² for σ in the electric field equation to obtain;

E = Q/(2ε₀d²)

Now, we can see that E is inversely proportional to the square of d i.e.

E ∝ 1/d²

The electric field at P has some magnitude E. We now double the side length of the sheet to 2L while keeping the same amount of charge Q distributed over the sheet.

From the relationship of E with d, the magnitude of electric field at P will now have a quarter of its original magnitude which is;

E_new = E/4

3 0
2 years ago
. A little car has a maximum acceleration of 2.57 m/s2. What is the new maximum acceleration of the little car if it tows anothe
valkas [14]

Answer:

a'=1.285\ m/s^2

Explanation:

Let m be the mass of a little car and m' be the mass of another car.

We know that,

Force = mass × acceleration

ATQ,

m × a = 2m × a'

a = 2 × a'

a'=\dfrac{a}{2}\\\\a'=\dfrac{2.57}{2}\\\\a'=1.285\ m/s^2

So, the acceleration of another little car is equal to 1.285\ m/s^2.

8 0
2 years ago
cicadas produce a sound that has a frequency of 123 Hz. what is the wavelength of this sound in the air? the speed of sound in a
mojhsa [17]

Answer: 2.72 metres

Explanation:

Given that:

frequency of sound F = 123 Hz. wavelength of sound in the air = ?

speed of sound in air V = 334 m/s

Recall that wavelength is the distance covered by the wave after one complete cycle. It is measured in metres, and represented by the symbol λ.

So, apply V = F λ

λ = V /F

λ = 334m/s / 123Hz

λ = 2.72m

Thus, the wavelength of this sound in the air is 2.72 metres

4 0
2 years ago
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