An object, which is initially at rest, accelerates at a rate of 10 m/s2 . Its final position is 85 m from its initial position a
1 answer:
Answer:
4.12 seconds
Explanation:
From the kinetic equation
where s is the displacement, u is initial velocity, t is time of travel and a is acceleration.
Since the object is initially at rest, the initial velocity is zero hence the equation can be re-written as
and making t the subject of the formula
Substituting s for 85 m and a for 10 m/s2
Therefore, time is approximately 4.12 seconds
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Explanation:
Work done by gravity is given by the formula,
W = ......... (1)
It is known that when levels are same then height of the liquid is as follows.
h = ......... (2)
Putting value of equation (2) in equation (1) the overall formula will be as follows.
W =
=
= 0.689 J
Thus, we can conclude that the work done by the gravitational force in equalizing the levels when the two vessels are connected is 0.689 J.
Answers:
a) -2.54 m/s
b) -2351.25 J
Explanation:
This problem can be solved by the <u>Conservation of Momentum principle</u>, which establishes that the initial momentum must be equal to the final momentum
:
(1)
Where:
(2)
(3)
is the mass of the first football player
is the velocity of the first football player (to the south)
is the mass of the second football player
is the velocity of the second football player (to the north)
is the final velocity of both football players
With this in mind, let's begin with the answers:
a) Velocity of the players just after the tackle
Substituting (2) and (3) in (1):
(4)
Isolating :
(5)
(6)
(7) The negative sign indicates the direction of the final velocity, to the south
b) Decrease in kinetic energy of the 110kg player
The change in Kinetic energy is defined as:
(8)
Simplifying:
(9)
(10)
Finally:
(10) Where the minus sign indicates the player's kinetic energy has decreased due to the perfectly inelastic collision