The cost of gas is $1.27 per liter. How much does a gallon of gas costs?

The element in an incandescent light bulb that releases light energy is

Leviafan [203]

A thin tungsten filament

5 0

3 years ago

The first car has twice the mass of a second car, but only half as much kinetic energy. When both cars increase their speed by 9

kirill [66]

Answer:

Speed of the car 1 = $V_1=8.98m/s$

Speed of the car 2 = $V_2=17.96m/s$

Explanation:

Given:

Mass of the car 1 , M₁ = Twice the mass of car 2(M₂)

mathematically,

M₁ = 2M₂

Kinetic Energy of the car 1 = Half the kinetic energy of the car 2

KE₁ = 0.5 KE₂

Now, the kinetic energy for a body is given as

$KE =\frac{1}{2}mv^2$

where,

m = mass of the body

v = velocity of the body

thus,

$\frac{1}{2}M_1V_1^2=0.5\times \frac{1}{2}M_2V_2^2$

or

$\frac{1}{2}2M_2V_1^2=0.5\times \frac{1}{2}M_2V_2^2$

or

$2M_2V_1^2=0.5\times M_2V_2^2$

or

$2V_1^2=0.5\times V_2^2$

or

$4V_1^2= V_2^2$

or

$2V_1= V_2$ .................(1)

also,

$\frac{1}{2}M_1(V_1+9.0)^2=\frac{1}{2}M_2(V_2+9.0)^2$

or

$\frac{1}{2}2M_2(V_1+9.0)^2=\frac{1}{2}M_2(2V_1+9.0)^2$

or

$2(V_1+9.0)^2=(2V_1+9.0)^2$

or

$\sqrt{2}(V_1+9.0)=(2V_1+9.0)$

or

$(\sqrt{2}V_1+ \sqrt{2}\times 9.0)=(2V_1+9.0)$

or

$(\sqrt{2}V_1+ 12.72)=(2V_1+9.0)$

or

$(2V_1-\sqrt{2}V_1)=(12.72-9.0)$

or

$(0.404V_1)=(3.72)$

or

$V_1=8.98m/s$

and, from equation (1)

$V_2=2\times 8.98m/s = 17.96m/s$

Hence,

Speed of car 1 = $V_1=8.98m/s$

Speed of car 2 = $V_2=17.96m/s$

8 0

2 years ago

Read 2 more answers

A sled starts off with an initial velocity of 8 m/s and slows down to 2 m/s after 3 seconds. What was its acceleration?

melomori [17]

Answer:

-2m/s

Explanation:

3 0

2 years ago

Which of the following is a FALSE statement about acceleration? A. Acceleration can be zero, positive, or negative. B. An object

olchik [2.2K]

<h3><u>Answer</u>;</h3>

C. An object can have acceleration with negative velocity.

<h3><u>Explanation</u>;</h3>

Acceleration is a measure of the change in velocity over time. The change in velocity is measured in meter per second (m/s), and time interval is measured in second (s).
Therefore, acceleration measures the change in meters per second every second [(m/s)/s], namely meters per second per second or meters per second squared (m/s2).
If an object has zero acceleration, its velocity doesn’t have to be zero. Acceleration is a measure of the change in velocity over time. Zero acceleration means there is no change in velocity over time, namely constant velocity.

6 0

3 years ago

A 4.60-kg sled is pulled across a smooth ice surface. The force acting on the sled is of magnitude 6.20 N and points in a direct

rusak2 [61]

Answer:

1.27 m/s

Explanation:

The force acting on the sled is F = 6.20 N. Since it is acting at an angle of 35° to the horizontal, its horizontal component which moves the sled forward is Fcos35. This force is the net force on the sled. So,

Fcos35 = ma where m = mass of sled = 4.60 kg and a = acceleration of sled

a = Fcos35/m = 6.20cos35/4.60 = 1.1 m/s².

We now know its acceleration. To find the sleds speed after time t = 1.15 s, we use v = u + at where u = initial velocity of sled = 0 m/s (since it starts from rest)

Substituting the remaining values of a and t into the equation, we have

v = u + at = 0 + 1.1 × 1.15 = 1.27 m/s

So, the sled goes 1.27 m/s fast after 1.15 s

6 0

3 years ago