The distance is 30 km and the displacement is 22.4 km North East
Answer:
Explanation:
Given
velocity of skateboarder is 4.1 m/s
Force
time=20 s
As the motion is along x axis therefore
Power
Power
only x component of force comes into play because there is no motion in Y direction.
Work done will be
Work done on skate boarder by rope is 1148 J
and work done on bicyclist by rope is -1148 as the direction of velocity is opposite to applied force
Answer:
The dimension of the nullspace of T = 4
Explanation:
The rank/dimension theorem is explains that:
Suppose V and W are vector spaces over F, and T:V → W is linear. If V is finite dimensional, then
nullity(T) + rank(T) = dim(V).
rank(T) = dimension of T = dim(T) = dim(W) = 7
nullity(T) = dimension of the nullspace of T = dim(T) = ?
dim(V) = 11
nullity(T) = dim(V) - dim(T) = 11 - 7
nullity(T) = 4.
The voltage at the end of the conductors is 12V
<u>Explanation:</u>
Given:
Resistance, R = 12Ω
Heat released, H = 144J
Time, t = 12s
Voltage, V = ?
According to joule's law:
H = I²RT
where,
I is the current
T is the time
R is the resistance
The above formula can also be written as:
where,
V is the voltage
On substituting the value in the formula we get:
Therefore, the voltage at the end of the conductors is 12V