What is the velocity of the brick when it strikes the gutter?

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In summary, the force acting on the brick as it slides down an incline is the force of gravity, directed downwards towards the center of the Earth. The steeper the incline, the faster the brick will slide down due to the increased force of gravity. The mass of the brick does not directly affect its acceleration, but a heavier brick may accelerate faster due to a greater force of gravity. Friction between the brick and the incline's surface will slow down its acceleration, depending on the roughness and materials. The minimum angle for the brick to start sliding is determined by the coefficient of static friction. If the angle is too small, the force of gravity may not be enough to overcome the force of static friction, preventing the brick
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Homework Statement



a 0.75kg brick is released from rest and slides down an inclined roof pitched at 30 degrees to the horizontal. the brick slides 2.5m before striking the gutter and the coefficient of friction between the roof and the brick is 0.3. determine the velocity at which the brick strikes the gutter.

Homework Equations



v^2=u^2 + 2as

The Attempt at a Solution



i know the answer is 3.43m/s but the closest I've come is 1.45m/s. please help as this revision for an exam next week! :-(

thanks!
 
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i've done it! thanks anyway guys!
 

FAQ: What is the velocity of the brick when it strikes the gutter?

What is the force acting on the brick as it slides down an incline?

The force acting on the brick is the force of gravity, also known as its weight. This force is directed downwards towards the center of the Earth.

How does the angle of the incline affect the speed of the brick?

The steeper the incline, the faster the brick will slide down due to the increased force of gravity acting on it. The angle of the incline also affects the direction of the force, causing the brick to accelerate downwards.

What is the relationship between the mass of the brick and its acceleration down the incline?

The mass of the brick does not directly affect its acceleration down the incline. However, a heavier brick will experience a greater force of gravity and therefore may accelerate faster than a lighter brick.

How does friction play a role in the sliding of the brick down the incline?

Friction is a force that acts in the opposite direction of the motion of the brick. As the brick slides down the incline, friction between the brick and the surface of the incline will slow down its acceleration. The amount of friction depends on the roughness of the incline's surface and the materials of the brick.

What is the minimum angle of the incline required for the brick to start sliding?

The minimum angle of the incline required for the brick to start sliding is dependent on the coefficient of static friction between the brick and the surface of the incline. If the angle of the incline is too small, the force of gravity acting on the brick may not be enough to overcome the force of static friction, preventing the brick from sliding.

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