A rock (m= 2kg) is shot up vertically at the same time that a ball (m= 0.5kg) is projected horizontally. If both start from the
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Answer:
Approximately .
Explanation:
The formula for the kinetic energy of an object is:
,
where
is the mass of that object, and
is the speed of that object.
Important: Joule () is the standard unit for energy. The formula for
requires two inputs: mass and speed. The standard unit of mass is
while the standard unit for speed is
. If both inputs are in standard units, then the output (kinetic energy) will also be in the standard unit (that is: joules,
Convert the unit of the arrow's mass to standard unit:
.
Initial of this arrow:
.
That's the same as the energy output of this bow. Hence, the efficiency of energy transfer will be:
.
Answer:
51.2 mi/h
Explanation:
Total distance, d = 100 miles
First 60 miles with speed 55 mi/h
Next 40 miles with speed 75 mi/h
Time taken for first 60 miles, t1 = 60 / 55 = 1.09 h
Time taken for 40 miles, t2 = 40 / 75 = 0.533 h
Time spent to get stuck, t3 = 20 min = 0.33 h
Total time, t = t1 + t2 + t3 = 1.09 + 0.533 + 0.33 = 1.953 h
The average speed is defined as the ratio of total distance traveled to the total time taken.
Average speed =
Thus, the average speed of the journey is 51.2 mi/h.
Answer:
Diameter of the cylinder will be
Explanation:
We have given young's modulus of steel
Change in length
Length of rod
Load F = 11100 KN
Strain is given by
We know that young's modulus
So
We know that stress
So
So