The answer is the same as many workers needed
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.
Answer:
600 KPa.
Explanation:
From the question given above, the following data were obtained:
Initial volume (V1) = 0.075 m³
Final volume (V2) = 0.45 m³
Final pressure (P2) = 100 KPa
Initial pressure (P1) =?
Temperature = constant
The initial pressure can be obtained by using the Boyle's law equation as shown below:
P1V1 = P2V2
P1 × 0.075 = 100 × 0.45
P1 × 0.075 = 45
Divide both side by 0.075
P1 = 45 / 0.075
P1 = 600 KPa.
Thus, the initial pressure in the balloon is 600 KPa.
Density’s is mass by volume
So mass is 48 grams
Volume is 8cm^3
There is no need to convert units as they are same
So 48/8 gives you 6
So your answe should be 6g/cm^3 or 6gcm^-3
Answer:
The net force is 26.52 N
Explanation:
Given that,
Volume of balloon = 2.1 L
Density of air = 1.29 kg/m³
Mass = 1.3 g
Density of helium 
(a). We need to calculate the buoyant force on the balloon
Using formula of buoyant force
Put the value into the formula
(b). We need to calculate the net force
Using formula of net force
Hence, The net force is 26.52 N.
