Answer:
A) s = 796.38 m
B) t = 12.742 s
C) T = 25.484 s
Explanation:
A) First of all let's find the time it takes to get to maximum height using Newton's first equation of motion.
v = u + gt
u = 125 m/s
v = 0 m/s
g = 9.81 m/s²
Thus;
0 = 125 - 9.81(t)
g is negative because motion is against gravity. Thus;
9.81t = 125
t = 125/9.81
t = 12.742 s
Max height will be gotten from Newton's 2nd equation of motion;
s = ut + ½gt²
s = (125 × 12.742) + (½ × -9.81 × 12.742²)
s = 1592.75 - 796.37
s = 796.38 m
B) time to reach maximum height is;
t = u/g
t = 125/9.81
t = 12.742 s
C) Total time elapsed is;
T = 2u/g
T = 2 × 125/9.81
T = 25.484 s
Work is equal to distance times time so no work
It is possible because the rubber ball has mechanical energy which is equal to potential energy.
<h3>
What is mechanical energy?</h3>
Mechanical energy of an object is the total energy possessed by the object, including the potential energy and the kinetic energy.
M.A = K.E + P.E
<h3>What is kinetic energy?</h3>
Kinetic energy is the energy possessed by an object due to its motion.
<h3>What is potential energy?</h3>
Potential energy is the energy possessed by an object due to its position.
When kinetic energy (K.E) = 0
M.A = P.E
Thus, it is possible because the rubber ball has mechanical energy which is equal to potential energy.
Learn more about mechanical energy here: brainly.com/question/24443465
Answer:
Explanation:
Given data
Space vehicle speed=5425 km/h relative to earth
The rocket motor speed=81 km/h and mass 4m
The command has mass m
From the conservation of momentum as the system isolated
Since the motion in on direction we can drop the unit vector direction
Where M is the mass of space vehicle which equals to sum of the motors mass and command mass.
The velocity of the motor relative to the earth equals the velocity of the motor relative to command plus the velocity of the command relative to earth
Where Vmc is the velocity of motor relative to command
This yields
Substitute the given values
Answer:
The independent variable is the number of dry cells and the dependent variable is the time the bulb works.
Explanation:
In this exercise, you are asked to analyze the variables derived from Ómar's hypotypeis
"If more dry cells are connected end-to-end, a light bulb will work longer because more energy is available."
In this hypothesis, the independent variable that is controlled by the researcher is the number of batteries to be connected in series.
The dependent variable that is measured by the researcher is how long the bulbs last.
When reviewing the different answers, the correct one is:
The independent variable is the number of dry cells and the dependent variable is the time the bulb works.
