A bowling ball and a baseball accelerate equally when falling in a vacuum because
1 answer:
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Given that,
Mass of object, m = 55 kg
Mechanical energy of the object, M = 4306 J
Potential energy, P = 2940 J
We know that the mechanical energy is the sum of kinetic and potential energy such that,
Mechanical energy = kinetic energy + potential energy
Kinetic energy is given by :
v is velocity of object
So, the velocity of object is 7.04 m/s.
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:
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Answer:
3 × 10⁴
Explanation:
We are given two numbers, and
We have to divide n₁ by n₂. We know that,
Here, n = -5 and m = -9
So on dividing we get :
Hence, on dividing n₁ by n₂ obtained number is 3 × 10⁴.