Given:
P = 1000 W, power input
c = 4190 J/(kg-K), the specific heat of water
m = 1 kg, mass of water
ΔT = 10 °C = 10 K, temperature rise.
Let t = time required to raise the temperature f the water.
Then
P*t = m*c*ΔT
(1000 J/s)*(t s) = (1 kg)*(4190 J/(kg-K)*(10 K)
1000t = 41900
t = 41.9 s
Answer: 41.9 s or 42 s (approximately)
There are many types of density dependent limiting factors<span> such as:
1) Availability of food
2) Predation
3) Disease
4) Migration.
You should ask it in "Biology" instead of "Physics". Hope this helps!</span>
Answer:
Air pressure decreases as altitude increases.
Explanation:
When the object is at rest, there is a zero net force due the cancellation of the object's weight <em>w</em> with the normal force <em>n</em> of the table pushing up on the object, so that by Newton's second law,
∑ <em>F</em> = <em>n</em> - <em>w</em> = 0 → <em>n</em> = <em>w</em> = <em>mg</em> = 112.5 N ≈ 113 N
where <em>m</em> = 12.5 kg and <em>g</em> = 9.80 m/s².
The minimum force <em>F</em> needed to overcome <u>maximum</u> static friction <em>f</em> and get the object moving is
<em>F</em> > <em>f</em> = 0.50 <em>n</em> = 61.25 N ≈ 61.3 N
which means a push of <em>F</em> = 15 N is not enough the get object moving and so it stays at rest in equilibrium. While the push is being done, the net force on the object is still zero, but now the horizontal push and static friction cancel each other.
So:
(a) Your free body diagram should show the object with 4 forces acting on it as described above. You have to draw it to scale, so whatever length you use for the normal force and weight vectors, the length of the push and static friction vectors should be about 61.3/112.5 ≈ 0.545 ≈ 54.5% as long.
(b) Friction has a magnitude of 15 N because it balances the pushing force.
(c) The object is in equilibrium and not moving, so the acceleration is zero.
Answer:
Explanation:
Torque created by force 3.34N
= 3.34 x 1.39 = 4.64 N.m
This torque is acting in clockwise direction .
Torque created by force 8.52 N
8.52 x .48
= 4.09 N.m
The force of 8.52 N is acting downward . It may turn the cylinder in clockwise or anticlockwise direction . So we shall consider both the possibilities.
If it rotates the cylinder in clockwise direction
Total torque = 4.64 + 4.09
= 8.73 Nm
If it rotates the cylinder in anticlockwise direction
Total torque = 4.64 - 4.09
= .55 Nm
Net torque will be in clockwise direction.
