Kinetic energy: the energy of motion
Work: the change in kinetic energy
Power: the rate of work done
Explanation:
The kinetic energy of an object is the energy possessed by the object due to its motion. Mathematically, it is given by:
where
m is the mass of the object
v is its speed
The work done an object is the amount of energy transferred; according to the energy-work theorem, it is equal to the change in kinetic energy of an object:
where
is the final kinetic energy
is the initial kinetic energy
Finally, the power is the rate of work done per unit time. Mathematically, ti can be expressed as
where
W is the work done
t is the time elapsed
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length × width × height
20 cm × 10 cm × 5 cm = 1,000 cm
As the boy kicks the football with an angle, due to the effect of the gravitational force, the ball would follow a projectile path which is parabolic in nature. From this idea, we can derive equations pertaining to the maximum height that the ball would reach. At the maximum height of the ball, the velocity of the ball would be equal to zero. From the equations for projectile motion, we would obtain the equation as follows:
Maximum height = v0^2 sin^2 (theta) / 2g
Maximum height = (28.0 m / s )^2 sin^2 (30.0) / 2(9.8 m / s^2)
Maximum height = 10 m
The maximum height that the ball would reach would be 10 m.
Answer:
The correct answer is:
(a) 84.240 kg
(b) 24.038 m
Explanation:
The given values are:
Force,
F = 81.0 N
Distance,
S = 13.0 m
Time,
t = 5.20 s
As we know,
The acceleration of mass will be:
⇒ 
On substituting the given values, we get
⇒ 
⇒ 
⇒ 
(a)
The mass of the block will be:
⇒ 
On substituting the given values, we get
⇒ 
⇒ 
(b)
The final velocity after a given time i.e.,
t = 5.00 s
⇒ 
On substituting the values, we get
⇒ 
⇒ 
In time, t = 5.00 s
The distance moved by the block will be:
⇒ 
On putting the values, we get
⇒ 
⇒ 
