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Alexus [3.1K]
3 years ago
13

Two friends are pushing a stalled,

Physics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

91.03 N

Explanation:

consider the way the forces are acting on the car , in the graph

assume the car is accelerating to the right

we can apply Newton's second law of motion (F = ma )

→ F = ma

Fpush + 107 = 1610 * 0.123

Fpush = 91.03 N

second guy is applying 91.03 N force on the car

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The x-coordinates of two objects moving along the x-axis are given as a function of time t. x1 = (4 m/s)t and x2 = −(159 m) + (2
SpyIntel [72]
The x-coordinate of the first object is
x₁(t) = (4 m/s)t

The x-coordinate of the second object is
x₂(t) = -(159 m) + (24 m/s)t - (1 m/s²)t²

The distance between the two objects is
x(t) = x₂ - x₁ 
      =  - 159 + 24t - t² - 4t
      = -t² + 20t  - 159

Write this equation in the standard form for a parabola.
x = -[t² - 20t] - 159
   = -[(t - 10)² - 100] - 159
   = -(t-10)² - 59

This parabola has a vertex at (-10,  -59), and it is downward.
Because the maximum value of x is negative, the two objects never touch
The closest distance between the objects is 59 m.

The two graphs confirm that the analysis is correct.

Answer: The closest approach is 59 m.

3 0
3 years ago
A 53 kg person is being dragged in their sleeping bag to the lake by a 401 N force at an angle of 30°
masha68 [24]

In the horizontal direction, the forces acting on the person are

• friction with magnitude <em>f</em>, opposing motion, and

• the horizontal component of the pulling force (itself with mag. <em>p</em> ) with mag. <em>p</em> cos(30º), in the direction of motion.

There is no friction in the vertical direction, so we omit any discussion of the vertical forces.

By Newton's second law, we then have

<em>p</em> cos(30º) - <em>f</em> = <em>m</em> <em>a</em> cos(30º)

where <em>m</em> is the person's mass, and <em>a</em> is their acceleration so that <em>a</em> cos(30º) is the magnitude of the horizontal component of acceleration. The person is pulled by a force of <em>p</em> = 401 N, so solve for <em>f</em> :

(401 N) cos(30º) - <em>f</em> = (53 kg) (0.59 m/s²) cos(30º)

<em>f</em> ≈ 320 N

5 0
3 years ago
You blow across the open mouth of an empty test tube and produce the fundamental standing wave of the air column inside the test
emmasim [6.3K]

Answer:

(a) Frequency of the standing wave is 614.28 Hz.

(b) Frequency of the standing waves is 1228.56 Hz.

Explanation:

Frequency of standing wave in the case of one end open and other end closed of pipe (also known as stopped pipe) is given by the relation :

f_{n} =n\frac{v}{4L}     .....(1)

Here f_{n} is the frequency of nth harmonic, v is speed of wave, L is length of the pipe and n is the harmonic which only takes values 1,3,5.. and so on.

(a) Given :

Speed of sound in air, v = 344 m/s

Length of tube, L = 14 cm = 0.14 m

n = 1

Substitute these values in equation (1).

f_{1} =1\times\frac{344}{4\times0.14}

<em>f₁ = </em>614.28 Hz

(b) In this case, half of the tube is filled with water. So,

Length of tube having air, L = (0.14)/2 = 0.07 m

Substitute the suitable values in equation (1).

f_{1} =1\times\frac{344}{4\times0.07}

<em>f₁ = </em>1228.56 Hz

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