Answer: 0.55 m/s
Explanation:
This situation is related to projectile motion (also called parabolic motion), where the main equations are as follows:
(1)
(2)
Where:
is the horizontal displacement of the pencil
is the pencil's initial velocity
since we are told the pencil rolls <u>horizontally</u> before falling
is the time since the pencil falls until it hits the ground
is the initial height of the pencil
is the final height of the pencil (when it finally hits the ground)
is the acceleration due gravity, always acting vertically downwards
Begining with (1):
(3)
(4)
Finding
from (2):
(5)
(6)
Substituting (6) in (4):
(7)
Isolating
:
(8)
(9)
Finally:
The equations to find the acceleration are the suvat equations:

Explanation:
The acceleration of an object is the rate if change in velocity of the object. It is calculated as

where
v is the final velocity of the object
u is the initial velocity
t is the time elapsed
For an object moving in a straight line at constant acceleration, there are several equations that can be used to find the acceleration: they are called suvat equations. They are the following:

where
u is the initial velocity
v is the final velocity
t is the time
s is the distance covered
a is the acceleration
Therefore, any of the above equations can be used to calculate the acceleration.
Learn more about acceleration:
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Answer:
750W
Explanation:
40×10= 400N
work done= force × distance
=400 × 75
=30000 J
Power= work done/ time
= 30000 ÷ 40
= 750 W
1) push down on the end of the lever, and 2) 3/4 of the way from the fulcrum
The heat capacity and the specific heat are related by C=cm or c=C/m. The mass m, specific heat c, change in temperature ΔT, and heat added (or subtracted) Q are related by the equation: Q=mcΔT. Values of specific heat are dependent on the properties and phase of a given substance.