Physics
07.04.2023 11:30
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The surface of the earth is not level although weathering and erosion have been

The surface of the earth is not level although weathering and erosion have been occurring for millions of years which is the best explanation of this observation

A. The sea level keeps changing.
B. Movements in the earth's surface continue to occur.
C. There has not been enough time.
D. Wind and water erosion are not strong enough.
E. Glacier movement is required to smooth the earth's surface.
Show Answers
alicat20
alicat20
4,8(4 marks)

8.04924 m/s²

Explanation:

r = Distance the child is from the center = 4.65 m

\alpha = Angular acceleration = 0.745 rad/s²

\omega = Angular velocity = 1.25 rad/s

Velocity is given by

v=r\omega\\\Rightarrow v=4.65\times 1.25\\\Rightarrow v=5.8125\ m/s

Radial acceleration is given by

a_r=\frac{v^2}{r}\\\Rightarrow a_r=\frac{5.8125^2}{4.65}\\\Rightarrow a_r=7.265625\ m/s^2

Tangential acceleration is given by

a_t=\alpha r\\\Rightarrow a_t=0.745\times 4.65\\\Rightarrow a_t=3.46425\ m/s^2

The resultant acceleration is given by

a=\sqrt{a_r^2+a_t^2}\\\Rightarrow a=\sqrt{7.265625^2+3.46425^2}\\\Rightarrow a=8.04924\ m/s^2

The magnitude of the acceleration of the child is 8.04924 m/s²

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