Answer:
1568N
2195.2J
Explanation:
Given parameters:
Mass of the weight = 160kg
Distance = 1.4m
Unknown:
Force applied to lift the weight = ?
Energy expended = ?
Solution:
The force applied in moving a body with a given mass through a distance is the weight;
Force applied = mg
Where m is the mass
g is the acceleration due to gravity
i. Applied force = 160 x 9.8 = 1568N
ii. The energy used to lift the weight is given as;
Energy = mgh
h is the vertical distance
Energy = 1568 x 1.4 = 2195.2J
Answer:


Explanation:
Given
--- Initial altitude
-- Altitude after 16.5 seconds
--- Acceleration (It is negative because it is an upward movement i.e. against gravity)
Solving (a): Final Speed of the rocket
To do this, we make use of:

The final altitude after 16.5 seconds is represented as:

Substitute the following values:
and 
So, we have:



Collect Like Terms


Make u the subject



Solving (b): The maximum height attained
First, we calculate the time taken to attain the maximum height.
Using:

At the maximum height:
--- The final velocity

So, we have:

Collect Like Terms

Make t the subject


The maximum height is then calculated as:

This gives:





Hence, the maximum height is 1141.07ft
Answer:
the minimum expected elastic modulus is 372.27 Gpa
Explanation:
First we put down the data in the given question;
Volume fraction
= 0.84
Volume fraction of matrix material
= 1 - 0.84 = 0.16
Elastic module of particle
= 682 GPa
Elastic module of matrix material
= 110 GPa
Now, the minimum expected elastic modulus will be;
= (
×
) / ( 
+
)
so we substitute in our values
= (682 × 110 ) / ( [ 682 × 0.16 ] + [ 110 × 0.84] )
= ( 75,020 ) / ( 109.12 + 92.4 )
= 75,020 / 201.52
= 372.27 Gpa
Therefore, the minimum expected elastic modulus is 372.27 Gpa
Answer:
See attachment for detailed answer.
Explanation: