3 years ago

Find the x-component of this

Physics

1 answer:

Nookie1986 [14]3 years ago

5 0

Answer:

the x component should be 15.3cos65°

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A potential energy function for a system in which a two-dimensional force acts is of the form U = 3x6y − 5x. Find the force that

liq [111]

Answer:

Force, $F=((-18x^5y+5)i+(-3x^6)j)\ N$

Explanation:

Given that,

A potential energy function for a system in which a two-dimensional force acts is of the form of :

$U=3x^6y-5x$

We need to find the force that acts at the point (x, y). The force in 2 dimensional with components is given by :

$F=(\dfrac{-dU}{dx},\dfrac{-dU}{dy})\\\\F=(\dfrac{-d(3x^6y-5x)}{dx},\dfrac{d(3x^6y-5x)}{dy})\\\\F=(-(18x^5y-5)),(-(3x^6))\\\\F=((-18x^5y+5)i+(-3x^6)j)\ N$

So, the force acting at the point (x,y) is $((-18x^5y+5)i+(-3x^6)j)\ N$ . Hence, this is the required solution.

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A stationary police car emits a sound of frequency 1240 HzHz that bounces off of a car on the highway and returns with a frequen

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Answer

given,

frequency from Police car= 1240 Hz

frequency of sound after return = 1275 Hz

Calculating the speed of the car = ?

Using Doppler's effect formula

Frequency received by the other car

$f_1 = \dfrac{f_0(u + v)}{u}$ ..........(1)

u is the speed of sound = 340 m/s

v is the speed of the car

Frequency of the police car received

$f_2= \dfrac{f_1(u)}{u-v}$

now, inserting the value of equation (1)

$f_2= f_0\dfrac{u+v}{u-v}$

$1275=1240\times \dfrac{340+v}{340-v}$

1.02822(340 - v) = 340 + v

2.02822 v = 340 x 0.028822

2.02822 v = 9.799

v = 4.83 m/s

hence, the speed of the car is equal to v = 4.83 m/s

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3 years ago