How long would a 2950 N force need to act to cause a 6000 kg delivery truck to accelerate from 4.0m/s to 29.0m/s?
1 answer:
Answer:
Time, t = 50.8 seconds.
Explanation:
Given the following data;
Mass = 6000 kg
Force = 2950 N
Initial velocity = 4 m/s
Final velocity = 29 m/s
To find time;
First of all, we would determine the acceleration of the truck using the following formula;
Force = mass * acceleration
2950 = 6000 * acceleration
Acceleration = 2950/6000
Acceleration = 0.492 m/s²
Next, we find time using the first equation of motion;
Where;
V is the final velocity.
U is the initial velocity.
a is the acceleration.
t is the time measured in seconds.
Making time, t the subject of formula, we have;
Substituting into the equation, we have;
Time, t = 50.8 seconds.
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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