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kenny6666 [7]
4 years ago
13

Question 1

Physics
1 answer:
solmaris [256]4 years ago
8 0

Answer:

4.0 m/s²

Explanation:

Draw two free body diagrams, one for the cart and one for the hanging mass.

The cart has one force acting on it in the x direction: tension to the right.

The hanging mass has two forces acting on it in the y direction: tension up and weight down.

The hanging mass accelerates downward, so if we take up to be positive, then the acceleration is negative.

Apply Newton's second law to the hanging mass:

∑F = ma

T − m₂g = m₂(-a)

T − m₂g = -m₂a

Apply Newton's second law to the cart:

∑F = ma

T = m₁a

Substitute and solve for a:

m₁a − m₂g = -m₂a

m₁a + m₂a = m₂g

(m₁ + m₂) a = m₂g

a = m₂g / (m₁ + m₂)

Given m₁ = 2.3 kg and m₂ = 1.6 kg:

a = (1.6 kg × 9.8 m/s²) / (2.3 kg + 1.6 kg)

a = 4.0 m/s²

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Answer:

58515.9 m/s

Explanation:

We are given that

d_1=4.7\times 10^{10} m

v_i=9.5\times 10^4 m/s

d_2=6\times 10^{12} m

We have to find the speed (vf).

Work done by surrounding particles=W=0 Therefore, initial energy is equal to final energy.

K_i+U_i=K_f+U_f

\frac{1}{2}mv^2_i-\frac{GmM}{d_1}=\frac{1}{2}mv^2_f-\frac{GmM}{d_2}

\frac{1}{2}v^2_i-\frac{GM}{d_1}+\frac{GM}{d_2}=\frac{1}{2}v^2_f

v^2_f=2(\frac{1}{2}v^2_i-\frac{GM}{d_1}+\frac{GM}{d_2})

v_f=\sqrt{2(\frac{1}{2}v^2_i-\frac{GM}{d_1}+\frac{GM}{d_2})}

Using the formula

v_f=\sqrt{v^2_i+2GM(\frac{1}{d_2}-\frac{1}{d_1})}

v_f=\sqrt{(9.5\times 10^4)^2+2\times 6.7\times 10^{-11}\times 1.98\times 10^{30}(\frac{1}{6\times 10^{12}}-\frac{1}{4.7\times 10^{10})}

Where mass of sun=M=1.98\times 10^{30} kg

G=6.7\times 10^{-11}

v_f=58515.9 m/s

4 0
3 years ago
A ray of light of vacuum wavelength 550 nm traveling in air enters a slab of transparent material. The incoming ray makes an ang
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Answer:

sin 40 = n sin 26    snell's law for incoming ray in air

n = sin 40 / sin 26 = 1.47

5 0
3 years ago
A machine is designed to lift an object wit a weight of 12 Newton’s if the input for the machine is set at 4 Newton’s what is th
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MA = output force/input force
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6 0
3 years ago
The air is less dense at higher elevations, so skydivers reach a high terminal speed. The highest recorded speed for a skydiver
swat32

Answer:

the terminal velocity v_t= 202.96 m/s≅203 m/s

Explanation:

The expression for the terminal velocity

v_t= \sqrt{\frac{2mg}{\rho AC_d} }

here, C_d is the drag coefficient for the cylinder is 1.15

The surface density of the air at 20°C is

ρ_surface = 1.2041 kg/m^3

the density of air at an altitude of 39000 m

ρ= 4.3/100×39000 = 0.05177 kg/m^3

now substitute these values in equation above

we get

v_t= \sqrt{\frac{2\times90\times9.81}{0.05177\times0.72\times1.15} }

v_t= 202.96 m/s≅203 m/s

the terminal velocity v_t= 202.96 m/s≅203 m/s

5 0
4 years ago
A trumpet player on a moving railroad flatcar moves toward a second trumpet player standing alongside the track both play a 490
labwork [276]

Answer:

The value is v_s  =  1.394 \  m/s

Explanation:

From the question we are told that

The frequency of the second player is f_2  =  490 \  Hz

The beat frequency is f_b  =  2.0 \  Hz

The speed of sound is v_s   =  343 \ m/s

Generally the frequency of the note played by the first player is mathematically represented as

f_1  =  f_2 + f_b

=> f_1  =  490 + 2.0

=> f_1  =  492 Hz

From the relation of Doppler Shift we have that

f_1  = \frac{ f_2 (v+ v_o )}{v-v_s }

Here v_o\  is\ the\ velocity\ of\ the\ observer\ with\ value\  0 \ m/s

So

492   = \frac{ 490 (343+0  )}{343 -v_s }

=> v_s  =  1.394 \  m/s

4 0
3 years ago
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