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ozzi
3 months ago
15

A Top Fuel Dragster initially at rest undergoes an average acceleration of 39 m/s2 for 3.97 seconds. How far will it go in this

time?
Physics
1 answer:
serg [3.5K]3 months ago
5 0

Answer:

s = 307.34 m

Explanation:

To determine the distance the dragster traveled during the specified time, we will apply the second equation of motion, expressed as follows:

s = Vi t + (0.5)at²

where,

s = distance traveled by the dragster =?

Vi = Initial Velocity = 0 m/s

t = time interval = 3.97 s

a = acceleration = 39 m/s²

Thus,

s = (0 m/s)(3.97 s) + (0.5)(39 m/s²)(3.97 s)²

s = 307.34 m

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A cylinder has 500 cm3 of water. After a mass of 100 grams of sand is poured into the cylinder and all air bubbles are removed b
Keith_Richards [3271]

Answer: SG = 2.67

The specific gravity for the sand is 2.67

Explanation:

Specific gravity is determined by the formula: density of the substance/density of water

Provided information;

Mass of sand m = 100g

The volume of sand equals the volume of water it displaces

Vs = 537.5cm^3 - 500 cm^3

Vs = 37.5cm^3

Calculating density of sand = m/Vs = 100g/37.5 cm^3

Ds = 2.67g/cm^3

Density of water Dw = 1.00 g/cm^3

Thus, the specific gravity of the sand can be expressed as

SG = Ds/Dw

SG = (2.67g/cm^3)/(1.00g/cm^3)

SG = 2.67

The specific gravity of the sand stands at 2.67

3 0
2 months ago
A book rests on the shelf of a bookcase. The reaction force to the force of gravity acting on the book is 1. The force of the sh
serg [3582]

Answer:

1. The force applied by the shelf supporting the book.

Explanation:

The free body diagram for the book is represented as follows:

1 - The weight of the book acting downward

2 - The normal force exerted by the shelf upward on the book.

As the book remains stationary, these two forces balance each other, and in accordance with Newton's Third Law, the reactive force equivalent to gravity is opposite and equal to the weight of the book. This reaction force prevents the book from falling off the shelf.

6 0
3 months ago
Read 2 more answers
These little bunnies (A, B, and C) were born in the same litter to the same parents, but they have different traits for the feat
Ostrovityanka [3204]

Response/Clarification:

Each of us receives 2 versions of a gene from our parents, with one inherited from the mother and one from the father.

Both our mother and father possess 2 versions of every gene. Therefore, the specific version we inherit is determined randomly, much like the outcome of a coin flip. This applies to both parents.

For instance, if the mother has one variant causing thick ears (A) and another for thin ears (a), she is Aa.

Similarly, the father also has these variants and is Aa as well.

The father can transfer either A or a, while the mother can also transfer either A or a.

As a result, their offspring can be AA, Aa, or aa. An AA genotype results in thick ears, while aa results in thin ears. The Aa genotype produces ears of intermediate thickness, akin to bunny B. This demonstrates the concept of incomplete dominance

8 0
2 months ago
Newton’s law of cooling states that dx dt = −k(x−A) where x is the temperature,t is time, A is the ambient temperature, and k &g
Maru [3345]

Answer:

a) X= kA_o\dfrac{1}{k^2+\omega^2}\left ( kcos\omega t+\omega sin\omega t \right )+Ce^{-kt}

b) D does not influence the long-term results.

Explanation:

Given that

\dfrac{dx}{dt}=-k(x-A)

A = A0 cos(ωt)

\dfrac{dx}{dt}=-k(x-A_o cos(\omega t))

\dfrac{dx}{dt}+kx=kA_o cos(\omega t)This is a linear equation hence the integration factor, I

I=e^{\int kdt}

I=e^{kt}Now using the characteristics of linear equations

e^{kt} X=\int e^{kt} kA_o cos(\omega t) dt +C

e^{kt} X= kA_o \dfrac{e^{kt}}{k^2+\omega^2}\left ( kcos\omega t+\omega sin\omega t \right )+C

b) At t= 0

X= kA_o\dfrac{1}{k^2+\omega^2}\left ( kcos\omega t+\omega sin\omega t \right )+Ce^{-kt}

Thus, the initial condition

does not affect the long-term outcome.

X(0)=\dfrac{k^2A_o}{\omega^2+k^2}+C

5 0
3 months ago
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