Answer:
0.088 seconds
0.0880000273785 second
0.08800054757 seconds
Explanation:
In the question it is given each century adds 1 ms to a day due to the slowing rotation of the Earth
In 88 centuries the length of the first day of the year will be
88 × 1 = 88 ms = 0.088 seconds
1 ms = 1 century
1 century = 100 years × 365.25 days
⇒1 ms = 36525 days
Sum of the gain on the first day would be
0.088 + 2.7378×10⁻⁸ = 0.0880000273785 second
Sum of the gain on the second day would be
0.088 + 2.7378×10⁻⁸+2.7378×10⁻⁸ = 0.08800054757 seconds
Decompose the forces acting on the block into components that are parallel and perpendicular to the ramp. (See attached free body diagram. Forces are not drawn to scale)
• The net force in the parallel direction is
∑ <em>F</em> (para) = -<em>mg</em> sin(21°) - <em>f</em> = <em>ma</em>
• The net force in the perpendicular direction is
∑ <em>F</em> (perp) = <em>n</em> - <em>mg</em> cos(21°) = 0
Solving the second equation for <em>n</em> gives
<em>n</em> = <em>mg</em> cos(21°)
<em>n</em> = (0.200 kg) (9.80 m/s²) cos(21°)
<em>n</em> ≈ 1.83 N
Then the magnitude of friction is
<em>f</em> = <em>µn</em>
<em>f</em> = 0.25 (1.83 N)
<em>f</em> ≈ 0.457 N
Solve for the acceleration <em>a</em> :
-<em>mg</em> sin(21°) - <em>f</em> = <em>ma</em>
<em>a</em> = (-0.457N - (0.200 kg) (9.80 m/s²) sin(21°))/(0.200 kg)
<em>a</em> ≈ -5.80 m/s²
so the block is decelerating with magnitude
<em>a</em> = 5.80 m/s²
down the ramp.
Answer:
1.00 m/s^2
Explanation:
The problem can be solved by using Newton's second law:
where
F is the net force acting on an object
m is the mass of the object
a is its acceleration
In this problem, F=35 N (the force applied by Amber) and
is the mass of the wagon + the brother, so the acceleration of the wagon and the brother is
Answer:
Both these motions are caused by the Gravitational force of earth.
Explanation:
Both these motions are caused by the Gravitational force of earth.
You just need to replace x with 5 in each function
.5^5 - 11
-5-3
.5 ^-6
-8
64 - 8 = 56 A Celcius
Hope this helps
