Question

A block of mass 20 kg sits on a ramp with an angle of 31 degrees above the horizontal. Assuming no friction, how fast will the block accelerate down the ramp?
7.89 m/s^2
5.34 m/s^2
2.98 m/s^2
4.17 m/s^2

Answer 1

4.17m/s^2. Is the answer...

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Answer 2

The acceleration of the block accelerate down the ramp is $5.34\ m/s^2$.

Explanation:

It is given that,

Mass of the block, m = 20 kg

Angle with horizontal, $\theta=31^{\circ}$

Let a is the acceleration of the block down the ramp. So,

$N=mg\ sin\theta$

$ma=mg\ sin\theta$

$a=g\ sin\theta$

$a=9.8\times sin(31)$

$a=5.04\ m/s^2$

or

$a=5.34\ m/s^2$

So, the acceleration of the block accelerate down the ramp is $5.34\ m/s^2$. Hence, this is the required solution.

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