Answer: The kinetic energy of the block increases by 15 Joules.
Explanation:
Work done is defined as the product of force and displacement of the object.
Mathematically,
where,
W =work done
F = force
s = Displacement
Kinetic energy is defined as the energy which is possessed by the virtue of object's motion.
In the question, it is given that work done on block is 15 Joules and we need to find the change in kinetic energy of the block.
We know that,
Work done on the object = Change in kinetic energy of the object
Thus, Kinetic energy is increased by 15 Joules.
The kinetic energy depends on the work done by the applied force. The kinetic energy of the block increases by 15 J.
The energy possessed by an object by its motion is known as the object's kinetic energy.
Given data-
The magnitude of the constant horizontal force is F = 5 N.
The work done on the block is, W = 15 J.
As per the work-energy theorem, the work done by the applied force is equal to the change in kinetic energy.
Then,
W = ΔKE
Solving as
15 = ΔKE
ΔKE = 15 J
Thus, we can conclude that the block's kinetic energy increases by 15 J.
Learn more about kinetic energy here:
True or false?
The statement is false. The shape of an object's trajectory can be a number of different shapes, not just an ellipse.
Answer:
In physics and chemistry, the law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time. ... For instance, chemical energy is converted to kinetic energy when a stick of dynamite explodes.
Answer:
A) α = -1.228 rev/min²
B) 7980 revolutions
C) α_t = -8.57 x 10^(-4) m/s²
D) α = 21.5 m/s²
Explanation:
A) Using first equation of motion, we have;
ω = ω_o + αt
Where,
ω_o is initial angular velocity
α is angular acceleration
t is time the flywheel take to slow down to rest.
We are given, ω_o = 140 rev/min ; t = 1.9 hours = 1.9 x 60 seconds = 114 s ; ω = 0 rev/min
Thus,
0 = 140 + 114α
α = -140/114
α = -1.228 rev/min²
B) the number of revolutions would be given by the equation of motion;
S = (ω_o)t + (1/2)αt²
S = 140(114) - (1/2)(1.228)(114)²
S ≈ 7980 revolutions
C) we want to find tangential component of the velocity with r = 40cm = 0.4m
We will need to convert the angular acceleration to rad/s²
Thus,
α = -1.228 x (2π/60²) = - 0.0021433 rad/s²
Now, formula for tangential acceleration is;
α_t = α x r
α_t = - 0.0021433 x 0.4
α_t = -8.57 x 10^(-4) m/s²
D) we are told that the angular velocity is now 70 rev/min.
Let's convert it to rad/s;
ω = 70 x (2π/60) = 7.33 rad/s
So, radial angular acceleration is;
α_r = ω²r = 7.33² x 0.4
α_r = 21.49 m/s²
Thus, magnitude of total linear acceleration is;
α = √((α_t)² + (α_r)²)
α = √((-8.57 x 10^(-4))² + (21.49)²)
α = √461.82
α = 21.5 m/s²
Answer: 38.25 m
Explanation:
In this situation we need to find the distance between the rabbit and the carrot, and we can use the following equation, since the rabbit's acceleration is constant:
(1)
Where:
is the rabbit's maximum velocity (final velocity)
is the rabbit's initial velocity
is the rabbit's acceleration
is the distance between the rabbit and the carrot
Isolating :
(2)
(3)
Finally:
Answer:
4.5s
Explanation:
Cause that's what it says on my test hints