C is the right one i think
Explanation:
It is given that,
Mass of platinum bar, m = 750 g
Length of the bar, l = 5 cm
Breadth of the bar, b = 4 cm
Width of the bar, h = 1.5 cm
Volume of the bar, ![V=l\times b\times h](https://tex.z-dn.net/?f=V%3Dl%5Ctimes%20b%5Ctimes%20h)
![V=5\times 4\times 1.5=30\ cm^3](https://tex.z-dn.net/?f=V%3D5%5Ctimes%204%5Ctimes%201.5%3D30%5C%20cm%5E3)
We need to find the density of the platinum bar. The density of any substance is given by :
![d=\dfrac{m}{V}](https://tex.z-dn.net/?f=d%3D%5Cdfrac%7Bm%7D%7BV%7D)
![d=\dfrac{750\ g}{30\ cm^3}](https://tex.z-dn.net/?f=d%3D%5Cdfrac%7B750%5C%20g%7D%7B30%5C%20cm%5E3%7D)
![d=25\ g/cm^3](https://tex.z-dn.net/?f=d%3D25%5C%20g%2Fcm%5E3)
So, the density of the platinum bar
. Hence, this is the required solution.
Answer:
![\boxed {\boxed {\sf 36 \ Newtons}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%2036%20%5C%20Newtons%7D%7D)
Explanation:
According to Newton's Second Law of Motion, force is the product of mass and acceleration.
![F=m \times a](https://tex.z-dn.net/?f=F%3Dm%20%5Ctimes%20a)
The mass of the wagon is 12 kilograms and the acceleration is 3 meters per square second.
Substitute the values into the formula.
![F= 12 \ kg \times 3 \ m/s^2](https://tex.z-dn.net/?f=F%3D%2012%20%5C%20kg%20%5Ctimes%203%20%5C%20m%2Fs%5E2)
Multiply.
![F= 36 \ kg*m/s^2](https://tex.z-dn.net/?f=F%3D%2036%20%5C%20kg%2Am%2Fs%5E2)
- 1 kilogram meter per square second ( 1 kg*m/s²) is equal to 1 Newton (N)
- Our answer of 36 kg*m/s² is equal to 36 N
![F= 36 \ N](https://tex.z-dn.net/?f=F%3D%2036%20%5C%20N)
The force required for the 12 kilogram wagon to accelerate at 3 meters per square second is <u>36 Newtons.</u>
<span>Easy, take the top off your Thermos bottle filled with hot coffee. Assuming perfect insulation, that hot coffee is isolated from the environment; but when the top is opened the heat can now escape to that environment.
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Answer:
F = 35651 [N]
Explanation:
To solve this problem we must use the following equation of kinematics
![v_{f} ^{2} =v_{o} ^{2} +2*a*x](https://tex.z-dn.net/?f=v_%7Bf%7D%20%5E%7B2%7D%20%3Dv_%7Bo%7D%20%5E%7B2%7D%20%2B2%2Aa%2Ax)
where:
Vf = final velocity = 185 [m/s]
Vo = initial velocity = 0 (starts from the rest)
a = acceleration [m/s²]
x = distance = 3.6 [m]
Now we can find the acceleration.
185² = 0 + 2*a*3.6
34225 = 7.2*a
a = 4753.47 [m/s²]
Now we must use Newton's second law which tells us that the total force on a body is equal to the product of mass by acceleration.
F = m*a
where:
m = mass = 7.5 [kg]
F = force [N] (units of Newtons)
F = 7.5*4753.47
F = 35651 [N]