What is the mass of a cannonball if a force of 2,500 N gives the cannonball an acceleration of 200 m/s2? Question 5 options: 15.
1 answer:
The mass of the given cannonball is 12.5 kg. Option B is correct.
<h3>What is Acceleration?</h3>
It is defined as the change in the direction and speed of the object. It is a vector quantity.
From, Newton's second law of motion
Where,
- force = 2,500 N
- mass
- acceleration = 200 m/s²
Put the values in the formula,
Therefore, the mass of the given cannonball is 12.5 kg.
Learn more about Acceleration:
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1) The coefficient of static friction is 0.980
2) The coefficient of kinetic friction is 0.908
Explanation:
1)
In the first situation, the box is still at rest. There are two forces acting on the box:
- The force of push, F, forward
- The force of static friction,
Since the box is in equilibrium we have
(1)
The value of frictional force changes from zero to a maximum value which is given by:
(2)
where
is the coefficient of static friction
m is the mass of the box
g is the acceleration of gravity
So, if the force F needed to put the box in motion is 48 N, it means that this is also the maximum value of the force of friction. So, we can combine eq.(1) and (2) to find the coefficient of static friction:
where:
F = 48 N
m = 5.0 kg
Substituting,
2)
In this second situation, the object is already in motion, so the equation of motion is:
where
F = 48 N is the force applied forward
is the acceleration of the box
is the force of kinetic friction, where
is the coefficient of kinetic friction
We can therefore rearrange the equation to find the coefficient:
Learn more about friction:
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