Answer:
The centripetal acceleration of the child at the bottom of the swing is 15.04 m/s².
Explanation:
The centripetal acceleration is given by:
[tex] a_{c} = \frac{v^{2}}{r} [/tex]
Where:
[tex] v^{2}[/tex]: is the tangential speed = 9.50 m/s
r: is the distance = 6.00 m
Hence, the centripetal acceleration is:
[tex] a_{c} = \frac{v^{2}}{r} = \frac{(9.50 m/s)^{2}}{6.00 m} = 15.04 m/s^{2} [/tex]
Therefore, the centripetal acceleration of the child at the bottom of the swing is 15.04 m/s².
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Answer:
10.8n
Explanation:
For this case the centripetal force is given by:
Where,
m: mass of the object
v: tangential speed
r: rope radius
Substituting values in the equation we have:
Then, doing the corresponding calculations:
Answer:
The centripetal force exerted on the rope is:
A man runs 300 m West in 60 seconds. He then runs 100 m
North-west in 20 seconds.
What is his average velocity in metres per second?
Answer:
5 m/s
Explanation:
Total distance = 300 + 100 = 400m
Total time = 60 + 20 = 80s
Velocity = 400/80 = 5m/s
Average velocity of man is 5 meter per second.
To find the average speed of an object we divide the total distance travelled by the total time time taken by object.
Total distance travelled by man = 300 + 100 = 400 m
Total time taken by man = 60 + 20 = 80 seconds
Average velocity,[tex]=\frac{400}{80} =5m/s[/tex]
Thus, Average velocity of man is 5 meter per second.
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A 800kg car produces a motive force of 10,000N.
As it accelerates from rest it experiences a frictional resistance of 2,000N.
What is the net force acting on the car?
Answer:
the net force on the car is 8,000 N.
Explanation:
Given;
mass of the car, m = 800 kg
motive force of the car, F = 10,000 N
frictional force experienced by the car, Fk = 2,000 N
The net force on the car is calculated as;
∑F = F - Fk
∑F = 10,000 - 2,000
∑F = 8,000 N
Therefore, the net force on the car is 8,000 N.
The graph below shows the composition of the air we breathe. Which of the following statements correctly classified the air we breathe?
A. The air we breathe is an element because it is made of pure substances
B. The air we breathe is a compound because it is made of different pure substances.
C. The air we breathe is a heterogeneous mixture because it had visibly different substances and phases.
D. The air we breathe is a homogeneous mixture because it has substances but the same appearance throughout.
Answer:
D. The air we breathe is a homogeneous mixture because it has substances but the same appearance throughout.
Explanation:
The air we breathe is a homogeneous mixture.
Air is a mixture of many gases. A homogeneous mixture is one whose constituents exists in one phase.
Air is a gas - gas mixtures.
A mixture has indefinite composition. They consist of two or more elements and or compounds in any proportion by mass.
Constituents retain their identities i.e. physical properties are retained.
