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laila [671]
3 years ago
12

What is the relationship between mass and weight?

Physics
1 answer:
Vikentia [17]3 years ago
4 0

Answer:

C. Weight is mass times the acceleration of gravity.

Explanation:

Weight is the force exerted by gravity.  Force is equal to mass times acceleration.

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A ship sailing in the Gulf Stream is heading 25.0º west of north at a speed of 4.00 m/s relative to the water. Its velocity rela
ASHA 777 [7]

Answer:

Velocity of Gulf Stream= 34.5^\circ west of north at a speed of 2.03\ \rm m/s

Explanation:

Given

  • speed of ship relative to Gulf stream=25^\circ  west of north at a speed of 4 m/s
  • speed of ship relative to earth=5^\circ  west of north at a speed of 4 .8 m/s

Let V_S be the velocity of the ship relative to the earth and V_{sg} be the velocity of the ship with respect to the Gulf stream

Let the west direction be  negative x axis and north direction be positive x axis

Now

V_{sg}=-4\sin25^\circ \vec i+4\cos25^\circ \vec j\\V_s-V_g=-4\sin25^\circ \vec i+4\cos25^\circ \vec j\\-4.8\sin5^\circ \vec i+4.8\cos5^\circ \vec j-V_g=-4\sin25^\circ \vec i+4\cos25^\circ \vec j\\Vg=-1.68\vec\ i+1.156\vec\ j\ \rm m/s\\

magnitude of the velocity is given by

V_g=\sqrt{(1.68^2+1.156^2)}\\V_g=2.03\ \rm m/s\\

Let the velocity of gulf stream makes an angle \theta with the positive y axis we have

\tan\theta=\dfrac{1.156}{1.68}\\\theta=34.5^\circ

Velocity of Gulf Stream 34.5^\circ west of north at a speed of 2.03\ \rm m/s

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