a) See free-body diagram in attachment
b) The acceleration is 
Explanation:
a)
The free-body diagram of an object is a diagram representing all the forces acting on the object. Each force is represented by a vector of length proportional to the magnitude of the force, pointing in the same direction as the force.
The free-body diagram for this object is shown in the figure in attachment.
There are three forces acting on the object:
- The weight of the object, labelled as
(where m is the mass of the object and g is the acceleration of gravity), acting downward - The applied force,
, acting up along the plane - The force of friction,
, acting down along the plane
b)
In order to find the acceleration of the object, we need to write the equation of the forces acting along the direction parallel to the incline. We have:
where:
is the applied force, pushing forward
is the frictional force, acting backward
is the component of the weight parallel to the incline, acting backward, where
m = 2 kg is the mass of the object
is the acceleration of gravity
is the angle between the horizontal and the incline (it is not given in the problem, so I assumed this value)
a is the acceleration
Solving for a, we find:
Learn more about inclined planes:
brainly.com/question/5884009
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A wave that is traveling fast can be said to have a high speed.<em> (b) </em>
Just like a car, motorcycle, or freight train that is traveling fast.
Answer:
The speed of the big fish after swallowing the small fish is 0.38 m/s.
Explanation:
Consider west to east direction as positive and the opposite direction as negative.
Given:
Mass of big fish (m₁) = 12.0 kg
Initial velocity of big fish (u₁) = 75 cm/s = 0.75 m/s
Mass of small fish (m₂) = 1 kg
Initial velocity of small fish (u₂) = -4 m/s (Direction is opposite to u₁)
After swallowing the small fish, both the fishes move together with same velocity. Let the velocity be 'v'.
So, as there are no effects of drag or any other forces, the given scenario can be considered as a case of inelastic collision where the objects move together with same velocity after collision.
The momentum is conserved in inelastic collision. Therefore,
Initial momentum of the fishes = Final momentum of the fishes
Now, plug in the given values and solve for 'v'. This gives,
Therefore, the speed of the big fish after swallowing the small fish is 0.38 m/s
Answer:
They will move the fridge if they all push in the same direction, but it will not move with constant velocity
Explanation:
The maximum static friction force is
(negative sign since its direction is opposite to the push applied by the people)
Sam can apply a force of 130 N, while Amir and Andre can apply a push of 65 N each, so the total force that they can apply, if they push in the same direction, will be:
This force is larger than the frictional force, so the fridge will start moving.
However, the net force on the fridge will be:
And according to Newton's second law,
where m is the mass of the fridge and a its acceleration, since the net force is not zero, then the fridge will have a non-zero acceleration, so it will not move with constant velocity.
