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Kazeer [188]
3 years ago
6

If the coefficient of static friction between the coffee cup and the roof of the car is 0.20, what is the maximum acceleration t

he car can have without causing the cup to slide
Physics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

a = 1.962 m/s²

Explanation:

The frictional force applied on the car can be given by the following formula:

friction = f = \mu R\\

where,

f = frictional force = ma (according to Newton's Second Law)

μ = coefficient of friction = 0.2

R = Normal Reaction = Weight of car = mg

Therefore, equation becomes:

ma = \mu mg\\a = \mu g\\

where,

a = maximum acceleration = ?

μ = coefficient of friction = 0.2

g = acceleration due to gravity = 9.81 m/s²

Therefore,

a = (0.2)(9.81\ m/s^{2})\\

<u>a = 1.962 m/s²</u>

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You have a 3.00-liter container filled with N₂ at 25°C and 4.45 atm pressure connected to a 2.00-liter container filled with Ar
LuckyWell [14K]

Answer : The final pressure in the two containers is, 2.62 atm

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

P\propto \frac{1}{V}

Thus, the expression for final pressure in the two containers will be:

PV=P_1V_1+P_2V_2

P=\frac{P_1V_1+P_2V_2}{V}

where,

P_1 = pressure of N₂ gas = 4.45 atm

P_2 = pressure of Ar gas = 2.75 atm

V_1 = volume of N₂ gas = 3.00 L

V_2 = volume of Ar gas = 2.00 L

P = final pressure of gas = ?

V = final volume of gas = (4.45 + 2.75) L = 7.2 L

Now put all the given values in the above equation, we get:

P=\frac{(4.45atm)\times (3.00L)+(2.75atm)\times (2.00L)}{7.2L}

P=2.62atm

Thus, the final pressure in the two containers is, 2.62 atm

8 0
3 years ago
A car started from a rest and accelerated at 9.54 m/s2 for 6.5 seconds. How much distance was covered by the car?
ElenaW [278]

Explanation:

S =ut + 1/2at^2

S = 0×6.5 + (1/2 × 9.54) × 6.5^2

S =0 + 4.77 ×42.25

S=201.5m

5 0
3 years ago
What can cause an increase in density that results in a deep ocean current
mrs_skeptik [129]
The movement of plates
5 0
3 years ago
Read 2 more answers
Amir pitches a baseball at an initial height of 6 feet with a velocity of 73 feet per second. this can be represented by the fun
Romashka [77]

The values of t are <u>4.643 second</u> for the function H(t)=-16t^2+73t+6

What is batter misses?

An out in baseball happens when the umpire declares a batter or baserunner out. A hitter or runner who is out is no longer able to score runs and must go back to the dugout until their subsequent turn at bat. The batting team's turn is over after three outs are recorded in a half-inning.

In order to signal an out, umpires typically make a fist with one hand and then flex that arm, either upward on pop flies or forward on regular plays at first base. To indicate a called strikeout, home plate umpires frequently use a "punch-out" action.When a batter is struck by a pitched ball without making a swing at it, it is referred to as a hit-by-pitch. He consequently gets first base.

We have been given that

s = 6 feet

v = 73 feet per second

Substituting these values in the formula H(t)=-16t^2+vt+s

H(t)=-16t^2+73t+6

When the ball hits the ground, the height becomes zero. Thus, H(t)=0

-16t^2+73t+6=0

We solve the equation using quadratic formula x_{1,2}=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

Substituting the values a=-16, b= 73, c=6

t_{1,2}=\frac{-73 \pm \sqrt{(73)^2-4(-16)(6)}}{2(-16)}\\\Rightarrow t_{1,2}=\frac{-73 \pm \sqrt{5713}}{2(-16)}\\\Rightarrow t_{1,2}=-0.081, 4.643

Learn more about the batter misses with the help of the given link:

brainly.com/question/19475098

#SPJ4

8 0
2 years ago
What voltage is needed to push 3 amps of current through a 1500-watt hair dryer ??
RideAnS [48]
V = P/I .............
8 0
3 years ago
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