T = tension force in the rope in upward direction
m = mass of the box attached at end of rope = 56 kg
W = weight of the box in downward direction due to gravity
a = acceleration of the box in upward direction = 5.10 m/s²
weight of the box is given as
W = mg
inserting the values
W = (56) (9.8)
W = 548.8 N
force equation for the motion of the box is given as
T - W = ma
inserting the values
T - 548.8 = (56) (5.10)
T = 834.4 N
Answer:
P = 1401.4 x 10⁶ W
Explanation:
Given that
Water flow rate m = 2.2 x 10⁶ kg/s
Height ,h= 65 m
Acceleration due to gravity ,g= 9.8 m/s²
The power P is given as
P= m g h
P=Power
m=Water flow rate
h=height
Now by putting the values in the above equation
P = 2.2 x 10⁶ x 9.8 x 65 W
P = 1401.4 x 10⁶ W
Therefore the power wasted will be 1401.4 x 10⁶ W.
Answer:


Explanation:
The bulldozer is moving the rocks as one system, the weigth for the complete system is:

From newton´s second law the acceleration can be related to the force by:

on the middle rock we have the force F12 from the first to the middle rock on the direction of movement and F32 from the las rock to the middle rock on the opposite direction of movement.
For the last rock to accelerate at the same rate it must be subjected to a force:

This equals the force F32 on the opposite direction. the resultant force on the middle rock to mantain this acceleration should be:

The sum of all the forces applied to the middle rock is:

Solving for F12:
