Answer:
The diameter is 0.378 ft.
Explanation:
Given that,
Mass of shot = 12 lb
Density of fresh water = 62.4 lb/ft
Specific gravity = 6.8
We need to calculate the volume of shot
The density of shot is
Using formula of density
Put the value into the formula
We need to calculate the radius
Using formula of specific gravity
Put the value into the formula
The diameter will be
Hence, The diameter is 0.378 ft.
Answer:
Explanation:
In this case we have to use the Principle of conservation of Momentum:
<em>This principle says that in a system the total momentum is constant if no external forces act in the system. The formula is:</em>
<em>Where:</em>
Mass of the first object.
Mass of the second object.
Initial velocity of the first object.
Initial velocity of the second object.
Final velocity of the first object.
Final velocity of the second object.
In <u>this problem</u> we have:
Observation: Is because the system has the same initial velocity.
First we have to find ,
We can rewrite it as:
Replacing with the data:
We found the final velocity of the cart, but the problem asks for the resulting change in the cart speed, this means:
Then, the resulting change in the cart speed is:
Answer:
Explanation:
First, we write the equations of motion for each axis. Since the crate is sliding with constant speed, its acceleration is zero. Then, we have:
Where T is the tension in the rope, F is the force exerted by the first worker, f_k is the frictional force, N is the normal force and mg is the weight of the crate.
Since and
, we can rewrite the first equation as:
Now, we solve for and calculate it:
This means that the crate's coefficient of kinetic friction on the floor is 0.18.