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The mass of the object is 9 kilograms.
It should be noted that a mass simply means the quantity of matter that's in a physical body.
From the information given, the following can be deduced:
Acceleration = 3m/s²
Force = 27N
Mass = Force / Acceleration
Mass = 27/3
Mass = 9kg
The mass is 9 kilograms.
The distance of the car in the second question is 500 miles and the speed is 25mph. The time taken will be:
Time = Distance / Speed
Time = 500/25
Time = 20 hours
Wavelength is calculated as:
= Velocity / Frequency
= 50/25
= 2m
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Speed refers to the rate of change of velocity with time.
The term speed refers to the rate of change of velocity with time. Now we have to solve the following problems;
1) Given that;
F = ma
F = force
m = mass
a = acceleration
m = F/a
m = 27 N/3 m/s^2
m = 9 Kg
2) Given that speed = distance /time
time = distance/speed = 500 miles/25 mph
= 20 hours
3) Now we know that;
v = λf
v = velocity
λ = wavelength
f = frequency
λ = v/f = 50 m/s/25 Hz
= 2 m
4) Speed of the wave = 2 m * 25 Hz = 50 m/s
Speed of the car = 500 m/10 s = 50 m/s
The car and the wave are moving at the same speed.
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