Answer:
The free body diagram is attached.
Explanation:
A force of 31[N] to the east, the second force goes to the south and it is equal to 28[N], the third force goes to the west and it is equal to 39 [N].
We can consider the crate as a particle. And all the forces are acting over the particle.
charge needed= 169412 C
Explanation:
energy stored in the battery= 16 KWh= 16 (1000 W)(3600 s)= 5.76 x 10⁷ J
Energy stored is given by U= q V
q= charge
V= voltage= 340 V
so 5.76 x 10⁷ = q (340)
q= 169412 C
Answer:
8.5 m/s
Explanation:
please see paper for the work!
The force of friction is equal to the pushing force, and the acceleration is zero
Explanation:
In this problem, we are pushing a piano along the floor, in the horizontal direction.
There are 2 forces acting in the horizontal direction on the piano:
- The applied force,
, acting forward - The force of friction,
, acting backward
Therefore, the net force in the horizontal direction is

According to Newton's second law, the net force is equal to the product between the piano's mass (m) and its acceleration:

Combining the two equations,

However, we are also told that the piano moves at constant speed, therefore the acceleration is zero:

And so,

which means that the force of friction is equal to the applied force.
Learn more about Newton's second law:
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Answer:
dV = 32.98 cm³
Explanation:
We know that
V = f ( h,r)

We also know that


Given that
h= 10 cm
d=10 cm , r= 5 cm
Thickness = 0.05 cm so dr = 0.05 cm
The metal in the top and the bottom is 0.2 cm thick so dh = 0.2 + 0.2 cm
dh = 0.4 cm
Now by putting the values


dV = 32.98 cm³