Explanation:
Boyle's law can be stated as the "volume of a fixed mass of a gas varies inversely as the pressure changes if the temperature is constant". It is mathematically expressed as;
P1 V1 = P2 V2
P1 is the initial pressure
V1 is the initial volume
P2 is the final pressure
V2 is the final volume
Charles's law states that the volume of a fixed mass of a gas varies directly as its absolute temperature if the pressure is constant.
It is mathematically expressed as;
=
V and T are volume and temperature respectively
1 and 2 are the initial and final states
The time spent in the air by the ball at the given momentum is 6.43 s.
The given parameters;
The impulse experienced by the ball is calculated as follows;
where;
is impulse
is change in momentum
The time of motion of the ball is calculated as follows;
Thus, the time spent in the air by the ball at the given momentum is 6.43 s.
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a) 10 m/s
b) 25 m
Explanation:
a)
The body is moving with a constant acceleration, therefore we can solve the problem by using the following suvat equation:
where
u is the initial velocity
v is the final velocity
a is the acceleration
t is the time
For the body in this problem:
u = 0 (the body starts from rest)
is the acceleration
t = 5 s is the time
So, the final velocity is
b)
In this second part, we want to calculate the distance travelled by the body.
We can do it by using another suvat equation:
where
u is the initial velocity
v is the final velocity
a is the acceleration
s is the distance travelled
Here we have
u = 0 (the body starts from rest)
is the acceleration
v = 10 m/s is the final velocity
Solving for s,
Answer:
4.62 s
Explanation:
We are given that
Initial angular speed,
Substitute the values
Hence, the wheel takes 4.62 s to come to rest.