Answer:
a.) magnitude __49.7__ unit(s)
b.) direction __123.6°_ counterclockwise from the +x axis
Explanation:
Let Vector is v
x-component of Vector v = x = -27.5 units (minus sign indicate that x-component is along the minus x-axis )
y-component of Vector v = y = 41.4 units
Magnitude of v = ?
Direction of v = ?
To find the magnitude of the vector
v =
v = 
v = 49.7 units
To find direction
θ = tan⁻¹(y/x)
θ = tan⁻¹(41.4/-27.5)
θ = -56.4°
This Angle is in the clockwise direction with respect to -x axis.
We need to find Angle counterclockwise from the +x axis.
So,
θ = 180° - 56.4°
θ = 123.6°
The given vector is in 2nd quadrant
The total distance covered by the person is 12 times the height of each stair:
The work done by the person to climb the stairs is equal to the increase in his gravitational potential energy:
And therefore, the power generated by the person in 12 s is the work done divided by the time taken:
So, the correct answer is B.
Answer:
All these laws give the relationship between two quantities of the gas among V (volume), p (pressure) and T (temperature), keeping the third one constant - however the two quantities change for each law
Explanation:
Calling:
p = gas pressure
V = gas volume
T = gas temperature (in Kelvin)
We have:
- Boyle's law: the pressure and the volume of a gas kept at constant temperature are inversely proportional. Mathematically,
- Charles's law: the temperature and the volume of a gas kept at constant pressure are directly proportional. Mathematically,
- Gay Lussac's law: the temperature and the pressure of a gas kept at constant volume are directly proportional. Mathematically,
It seems to go against what we see with our eyes. Plus, it contradicted official church doctrine at the time.
Answer:
The magnitude of force exerted on the handle is 108.73 N
Explanation:
To determine the magnitude of force exerted, we will use the formula relating Power and Force.
Power is the rate at which work is done. Power can be calculated from the formula
Power = Work / Time
But, Work = Force × Distance
Hence,
Power is given by the formula
Where P is the Power
F is the force
s is the distance
and t is the time
From ,
Then we can write that
From the question,
Distance, s = 1.1 m
Time, t = 1.3 s
Power, P = 92 W
Putting these values into the formula, we get
Hence, the magnitude of force exerted on the handle is 108.73 N.
