Let <em>v</em> denote the initial speed of the ball. The ball's position at time <em>t</em> is given by the vector

where <em>g</em> is the acceleration due to gravity with magnitude 9.80 m/s^2.
The ball reaches the goal 13 m away at time <em>t</em> such that

at which point it attains a height of 2.44 m, so that



Dimensional Formula of Density
The dimensional formula of density is given by,
[M1 L-3 T0]
Where,
M = Mass
L = Length
T = Time
Derivation
Density (ρ) = Mass × Volume-1 . . . . . (1)
The dimensional formula of volume = [M0 L3 T0] . . . . (2)
And, the dimensional formula of mass = [M1 L0 T0] . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Density = Mass × Volume-1
Or, (ρ) = [M1 L0 T0] × [M0 L3 T0]-1 = [M1 L-3 T0]
Therefore, density is dimensionally represented as [M1 L-3 T0].
Hope i helped!
Answer:
60kgm/s
Explanation:
Given parameters:
Mass of frisbee = 5kg
Final speed = 12m/s
Unknown:
Impulse of the frisbee = ?
Solution:
The impulse of the frisbee is the same as the change in momentum.
It is given as:
Impulse = mass (Final velocity - Initial velocity)
Impulse = 5(12 - 0) = 60kgm/s
Answer:
TRUE
Explanation:
When a wire with a current is placed in a magnetic field, electrical energy is transformed into mechanical energy. The transformation happens when the magnetic field produced by the current causes the wire to move.
Answer:
a) 6.4 kJ
b) 43.4 kJ
Explanation:
a)
= Heat absorbed = 37 kJ
= Coefficient of performance = 5.8
= Work done
Heat absorbed is given as
=
37 = (5.8)
= 6.4 kJ
b)
= work per cycle required
=
+
= 37 + 6.4
= 43.4 kJ