Question

A box with a mass of 8 kg placed on an inclined frictionless plane at an angle of A force of 50 N pulls it up along the surface. Calculate the acceleration and tension of the box

Answer 1

Answer on Question #67203-Physics-Other

A box with a mass of $8\,\mathrm{kg}$ placed on an inclined frictionless plane at an angle of $\alpha$. A force of $50\,\mathrm{N}$ pulls it up along the surface. Calculate the acceleration and tension of the box

Solution

$$m a = T - m g \sin \alpha$$

The tension of the box is

$$T = 50\,\mathrm{N}.$$

The acceleration of the box is

$$a = \frac{T}{m} - g \sin \alpha = \frac{50}{8} - 10 \sin \alpha = (12.5 - 10 \sin \alpha) \frac{m}{s^2}.$$

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