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Citrus2011 [14]
3 years ago
9

A student solving for the acceleration of an object has applied appropriate physics principles and obtained the expression a = a

₁ + Fm where a₁ = 3.00 meter/second², F = 12.0 kilogram⋅meter/second² and m =7.00 kilogram. First, which of the following is the correct step for obtaining a common denominator for the two fractions in the expression in solving for a?
a. (m/m times a₁/1) + (1/1 times F/m)
b. (1/m times a₁/1) + (1/m times F/m)
c. (m/m times a₁/1) + (F/F times F/m)
d. (m/m times a₁/1) +(m/m times F/m )
Physics
1 answer:
Nikitich [7]3 years ago
8 0

Answer:

The correct option is option (a).

The acceleration of an object is \frac{33}{7} m/s².

Explanation:

Given expression is

a=a_1+\frac Fm

[ divide a whole number by 1 to turn into a fraction. Since a_1 is a whole number, so  a_1  is divided by 1 to turn into a fraction]

\Rightarrow a=\frac{a_1}{1}+\frac Fm

[The l.c.m of the denominators 1 and m is m. Now multiply both numerator and denominator by m of \frac{a_1}1 and multiply both numerator and denominator by 1 of \frac Fm]

\Rightarrow a=(\frac mm\times\frac{a_1}{1})+(\frac 11\times\frac Fm)

The correct option is option (a)

Given that,

F= 12.0 kg.m/s² , m=7.00 kg and a_1 = 3.00 m/s²

\therefore a=(\frac mm\times\frac{a_1}{1})+(\frac 11\times\frac Fm)

     =(\frac{7.00}{7.00}\times \frac{3.00}{1})+(\frac11\times \frac{12.0}{7.00})

    =\frac{21}{7}+\frac{12}{7}

    =\frac{21+12}{7}

    =\frac{33}{7} m/s²

The acceleration of an object is \frac{33}{7} m/s².

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MrRissso [65]

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4 0
3 years ago
The USDA recommends that women consume about 2000 Calories per day and men consume about 2500 Calories per day. How much average
professor190 [17]

Answer:

   1500 W to 2200 W

Explanation:

Every person does work in his daily day to day life. A person needs energy in order to perform work. And the energy consumed by an individual while performing a daily work is directly responsible to the mount of oxygen consumed by the person.

The USDA is the federal agency which looks after the food and agriculture matters of the US government. It deals with and formulates different policies and laws for the country and it s people. It recommends about 2000 calories per day for women and for men it recommends about 2500 calorie per days of food intake.

Accordingly, the average power required by a human body for doing regular work is in the range of 1500 W to 2200 W.

4 0
3 years ago
A ball hits a wall horizontally at 6m/s and rebounces at 4.4m/s the ball is in contact with wall for 0.04 sec. what is the accel
Svetlanka [38]

Answer:

Acceleration (a) = 40 m/s²

Explanation:

Given:

Initial velocity (u) = 6 m/s

Final velocity (v) = 4.4 m/s

Time taken (t) = 0.04sec

Find:

Acceleration (a) = ?

Computation:

We know that,

⇒ v = u + at

⇒ a = (v - u) / t

⇒ Acceleration (a) = (4.4 - 6) / 0.04

⇒ Acceleration (a) = (-1.6) / 0.04

Acceleration (a) = 40 m/s²

8 0
3 years ago
A 5.0-m long, 12-kg uniform ladder rests against a smooth vertical wall with the bottom of the ladder 3.0 m from the wall. the c
Semmy [17]

First establish the summation of the forces acting int the ladder

Forces in the x direction Fx = 0 = force of friction (Ff) – normal force in the wall(n2)

Forces in the y direction Fy =0 = normal force in floor (n1) – (12*9.81) –( 60*9.81)

So n1 = 706.32 N

Since Ff = un1 = 0.28*706.32 = 197,77 N = n2

Torque balance along the bottom of the ladder = 0 = n2(4 m) – (12*9.81*2.5 m) – (60*9.81 *x m)

X = 0.844 m

5/ 3 = h/ 0.844

H = 1.4 m can the 60 kg person climb berfore the ladder will slip

7 0
3 years ago
Read 2 more answers
Using Rayleigh's criterion, what is the smallest separation between two pointlike objects that a person could clearly resolve at
atroni [7]

 Answer:

y = 52.44 10⁻⁶  m

Explanation:

It is Rayleigh's principle that two points are resolved if the maximum of the diffraction pattern of one matches the minimum the diffraction pattern of the other

Based on this principle we must find the angle of the first minimum of the diffraction expression

         a sin θ= m λ

The first minimum occurs for m = 1

       sin θ =  λ  / a

Now let's use trigonometry the object is a distance L = 0.205 m

        tan θ = y / L

Since the angles are very small, let's approximate

        tan θ = sin θ/cos θ = sin  θ

        sin θ = y / L

We substitute in the diffraction equation

         y / L =  λ  / a

         y =  λ  L / a

Let's calculate

        y = 550 10⁻⁹ 0.205 / 2.15 10⁻³

        y = 52.44 10⁻⁶ m

7 0
4 years ago
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