Answer:
a= - 6.667 m/s²
Explanation:
Given that
The initial speed of the box ,u= 20 m/s
The final speed of the box ,v= 0 m/s
The distance cover by box ,s= 30 m
Lets take the acceleration of the box = a
We know that
v²= u ² + 2 a s
Now by putting the values in the above equation we get
0²=20² + 2 a x 30
a= - 6.667 m/s²
Negative sign indicates that velocity and acceleration are in opposite direction.
Therefore the acceleration of the box will be - 6.667 m/s² .
Answer:
0.28802
2.57162 W
14.28 W
53.55 W
6.07142 W
Explanation:
R = 280Ω
L = 100 mH
C = 0.800 μF
V = 50 V
ω = 10500rad/s
For RLC circuit impedance is given by
Power factor is given by
The power factor is 0.28802
The average power to the circuit is given by
The average power to the circuit is 2.57162 W
Power to resistor
Power to resistor is 14.28 W
Power to inductor
Power to the inductor is 53.55 W
Power to the capacitor
The power to the capacitor is 6.07142 W
Answer:
part (a) v = 1.7 m/s towards right direction
part (b) Not an elastic collision
part (c) F = -228.6 N towards left.
Explanation:
Given,
Part (a)
Pucks are stick together after the collision, therefore the final velocities of the pucks are same as v.
From the conservation of linear momentum,
Direction of the velocity is towards right due to positive velocity.
part (b)
Given,
Final velocity of the second puck =
Let be the final velocity of first puck after the collision.
From the conservation of linear momentum,
For elastic collision, the coefficient of restitution should be 1.
From the equation of the restitution,
Therefore the collision is not elastic collision.
part (c)
Given,
Time of impact = t =
we know that the impulse on an object due to a force is equal to the change in momentum of the object due to the collision,
Negative sign indicates that the force is towards in the left side of the movement of the first puck.