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lord [1]
4 years ago
5

A toy robot moved from a starting point, traveling in a straight line at different speeds and then turning around and returning

to the starting point at different speeds. What is the total distance that the toy robot traveled?
Physics
1 answer:
Pavel [41]4 years ago
7 0

Answer:

The total distance is equal to the change in total position of the person, but the displacement of the person is zero.

Explanation:

  • The distance is the total change in the positions of the toy robot. it is having only magnitude and it is a scalar quantity.
  • The displacement is the difference between the final and initial position of the toy robot. it is a vector quantity having magnitude and direction
  • Since the distance is the change in positions, so the magnitude of the distance will be equal to the up and down distance covered.
  • If the toy robot travels in a straight line path and returns back to its original location, the magnitude of the distance and displacement doesn't depend on the speed of the toy robot.
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4A
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5 0
4 years ago
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An open 1-m-diameter tank contains water at a depth of 0.7 m when at rest. As the tank is rotated about its vertical axis the ce
Mamont248 [21]

Answer:

Explanation:

To find the angular velocity of the tank at which the bottom of the tank is exposed

From the information given:

At rest, the initial volume of the tank is:

V_i = \pi R^2 h_i --- (1)

where;

height h which is the height for the free surface in a rotating tank is expressed as:

h = \dfrac{\omega^2 r^2}{2g} + C

at the bottom surface of the tank;

r = 0, h = 0

∴

h = \dfrac{\omega^2 r^2}{2g} + C

0 = 0 + C

C = 0

Thus; the free surface height in a rotating tank is:

h=\dfrac{\omega^2 r^2}{2g} --- (2)

Now; the volume of the water when the tank is rotating is:

dV = 2π × r × h × dr

Taking the integral on both sides;

\int \limits ^{V_f}_{0} \ dV = \int \limits ^R_0 \times 2 \pi \times r \times h \ dr

replacing the value of h in equation (2); we have:

V_f} = \int \limits ^R_0 \times 2 \pi \times r \times ( \dfrac{\omega ^2 r^2}{2g} ) \ dr

V_f = \dfrac{ \pi \omega ^2}{g} \int \limits ^R_0 \ r^3 \ dr

V_f = \dfrac{ \pi \omega ^2}{g} \Big [  \dfrac{r^4}{4} \Big]^R_0

V_f = \dfrac{ \pi \omega ^2}{g} \Big [  \dfrac{R^4}{4} \Big] --- (3)

Since the volume of the water when it is at rest and when the angular speed rotates at an angular speed is equal.

Then V_f  =  V_i

Replacing equation (1) and (3)

\dfrac{\pi \omega^2}{g}( \dfrac{R^4}{4}) = \pi R^2 h_i

\omega^2 = \dfrac{4g \times h_i }{R^2}

\omega =\sqrt{ \dfrac{4g \times h_i }{R^2}}

\omega = \sqrt{\dfrac{4 \times 9.81 \ m/s^2 \times 0.7 \ m}{(0.5)^2} }

\omega = \sqrt{109.87 }

\mathbf{\omega = 10.48 \ rad/s}

Finally, the angular velocity of the tank at which the bottom of the tank is exposed  = 10.48 rad/s

6 0
3 years ago
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faust18 [17]

Answer:

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3 years ago
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Answer:

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Answer:

F = 339.23 N

Explanation:

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The weight of an object is given by :

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The force acting on car is :

F=ma\\\\F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{105\times (42-0)}{13}\\\\F=339.23\ N

So, the force acting on the car is 339.23 N.

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