Answer:
the girl moves towards right with a velocity of 4.1m/s
Explanation:
Since the system is isolated the momentum of the system is conserved
Initial momentum = Final Momentum
Since initially the system is at rest thus
Now the final momentum of boy =
Now for girl let the velocity = u hence her moumentum is 45
Thus equating final momentum to zero we have
+
hence
Thus the girl moves towards right with a velocity of 4.1m/s
Answer:
the answers are
W = 1271.256 J
= 361.81 J
Explanation:
The mass of the trunk (m) = 46kg
angle between the ramp and the horizontal (θ) = 42°
The trunk is pulled at a displacement (d) up the ramp = 3m
The coefficient of kinetic friction between the trunk and the ramp = 0.36
The trunk is moving with a constant velocity therefore the net force on it is zero, therefore the force required to move the trunk must be equal to the summation of forces opposing the trunk
The two forces opposing the trunk are
- the gravitational force directed down the ramp and
- the frictional force between the ramp and the trunk
We have to calculate the machine's force which is equal to sum of the
= θ
μ× N
N = mgcosθ
μθ
F = mg (sinθ + μcosθ)
F = 46× 9.8 (sin42 + 0.36×cos42)
F= 450.8 (0.67 +0.27)
F = 450.8 × 0.94
F = 423.752N
to calculate the workdone on the trunk by the machine force
The workdone on the trunk is = W = F × dcosΘ
Θ = 0° because the trunk is directed parallel to the ramp
W =423.752× 3 cos 0
W = 423.752 ×3
W = 1271.256 J
(b) the increase in thermal energy of the trunk and the ramp
Friction converts mechanical energy into thermal energy, so multiplying the frictional force with the distance gives the thermal energy generated by the trunk
× d
= μθ ×d
= 0.36 ×46×9.8×cos42×3
= 361.81 J
Answer:
(a). Z = 54.54 ohm
(b). R = 36 ohm
(c). The circuit will be Capacitive.
Explanation:
Given data
I = 2.75 A
Voltage = 150 V
rad = 48.72°
(a). Impedance of the circuit is given by
Z = 54.54 ohm
(b). We know that resistance of the circuit is given by
Put the values of Z & in above formula we get
R = 36 ohm
(c). Since the phase angle is negative so the circuit will be Capacitive.
Answer:
Explanation:....................
The llamas average acceleration from 15 to 20 seconds is 5