Solution :
A vector is defined as an element that has magnitude of some measure and direction.
It is given there is vector 'd' which has magnitude 2.6 m and its direction is towards north.
a). -d
The magnitude of the vector '-d' is 2.6 m and its direction is reversed, i.e. its direction is towards south.
b). d/2.0
The magnitude of the vector 'd/2.0' is 1.3 m and its direction is towards north.
c). - 2.5d
The magnitude of the vector increases by 2.5 times i.e. 2.5 x 2.6 = 6.5 m and the direction is towards south.
d). 5.0d
The magnitude of the vector increases by 5 times i.e. 5 x 2.6 = 13 m and the direction is towards north.
A snow blower is more powerful because it's easier, and it moves large amounts of snow easily. Shoveling uses all of <em>your power.</em> It can be difficult and it takes a long time to get the snow off of your lawn.
Therefore, using a snow blower is more powerful than using a shovel.
I hope this helped!
<span>This problem is solved by the equation of motion:
x = x0 + v0*t + 1/2*a*t^2,
Here x0 = 0, v0 = 40ft/sec and a = -5 ft/s^2, we need to solve for t:
v = v0 + a*t, solve how long does it take to stop: 0 = v0 + a*t --> a*t = -v0 --> t = -v0/a
-- > 40/5 = 8 seconds to stop.
In this time, the car travels x = 0 + 40*8 + 0.5*-5*8^2 ft ~ 160 ft.
Answer: The car travels 160 ft.</span>
<span>The rate at which work is done or energy is used is referred to as power. </span>
The minimum power is 490 W
Explanation:
The work that needs to be done by the robot in order to climb the shelves is equal to the gain in gravitational potential energy of the robot + object, therefore:

where
m = 15 kg + 5 kg = 20 kg is the total mass of the system
is the acceleration of gravity
is the change in height
Substituting,

Now we can calcualte the power (wattage) that the robot must have, using the equation

where
W = 3,920 J is the work done
t = 8 s is the time interval
Substituting,

Learn more about power:
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