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kicyunya [14]
2 years ago
8

(c) A solid weights 64N in air and 48N when totally immersed in a liquid 0.8g/cm3.

Physics
1 answer:
allochka39001 [22]2 years ago
8 0

(a) When immersed in the liquid, the solid displaces an amount of liquid weighing 64 N - 48 N = 16 N, and this is the same as the magnitude of the buoyant force/upthrust.

(b) Archimedes' principle says the solid has a volume equal to that of the displaced liquid. At a density of 0.8 g/cm³ = 0.0008 kg/cm³, a 16-N amount of this liquid has a volume of

(16 N) / <em>g</em> × (1/0.0008 cm³/kg) = 2040.82 cm³

(c) Density is mass per unit volume, so you get the solid's density by dividing its mass (weight/<em>g</em>) by the volume in (b):

((64 N) / <em>g</em>) / (2040.82 cm³) ≈ 0.0032 kg/cm³ ≈ 3.2 g/cm³

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Define average velocity <br>​
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Read 2 more answers
A satellite in outer space is moving at a constant velocity of 20.5 m/s in the +y direction when one of its on board thruster tu
Katyanochek1 [597]

Answer:

a)  V_f = 25.514 m/s

b)  Q =53.46 degrees CCW from + x-axis

Explanation:

Given:

- Initial speed V_i = 20.5 j m/s

- Acceleration a = 0.31 i m/s^2

- Time duration for acceleration t = 49.0 s

Find:

(a) What is the magnitude of the satellite's velocity when the thruster turns off?

(b) What is the direction of the satellite's velocity when the thruster turns off? Give your answer as an angle measured counterclockwise from the +x-axis.

Solution:

- We can apply the kinematic equation of motion for our problem assuming a constant acceleration as given:

                                   V_f = V_i + a*t

                                   V_f = 20.5 j + 0.31 i *49

                                   V_f = 20.5 j + 15.19 i

- The magnitude of the velocity vector is given by:

                                   V_f = sqrt ( 20.5^2 + 15.19^2)

                                   V_f = sqrt(650.9861)

                                  V_f = 25.514 m/s

- The direction of the velocity vector can be computed by using x and y components of velocity found above:

                                 tan(Q) = (V_y / V_x)

                                 Q = arctan (20.5 / 15.19)

                                 Q =53.46 degrees

- The velocity vector is at angle @ 53.46 degrees CCW from the positive x-axis.

4 0
3 years ago
A particle moves along a straight line. Its position at any instant is given by x = 32t− 38t^3/3 where x is in metre and t in se
Rudik [331]

Answer:

The acceleration of the object is -69.78 m/s²

Explanation:

Given;

postion of the particle:

x = 32t - 38\frac{t^3}{3} \\\\

The velocity of the particle is calculated as the change in the position of the  particle with time;

v = \frac{dx}{dt} = 32 - 38t^2\\\\when \ the \ particle \ is \ at \ rest, \ v = 0\\\\32-38t^2 = 0\\\\38t^2 = 32\\\\t^2 = \frac{32}{38} \\\\t = \sqrt{\frac{32}{38} } \\\\t = 0.918 \ s

Acceleration is the change in velocity with time;

a = \frac{dv}{dt} = -76t\\\\recall , \ t = 0.918 \ s\\\\a = -76(0.918)\\\\a = -69.78 \ m/s^2

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