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Answer :
Sure! Let's solve the problem step by step:
We are given:
- Potential Energy (PE) = 235,200 Joules
- Height (h) = 30 meters
- Gravitational acceleration (g) = 9.8 m/s² (which is the approximate value for Earth's gravity)
The formula for potential energy is:
[tex]\[ PE = m \times g \times h \][/tex]
where:
- PE is the potential energy,
- m is the mass,
- g is the gravitational acceleration,
- h is the height.
We need to find the mass (m) of the roller coaster. To do this, we rearrange the formula to solve for mass:
[tex]\[ m = \frac{PE}{g \times h} \][/tex]
Now, plug in the given values:
[tex]\[ m = \frac{235,200}{9.8 \times 30} \][/tex]
Calculate the denominator:
[tex]\[ 9.8 \times 30 = 294 \][/tex]
So the equation becomes:
[tex]\[ m = \frac{235,200}{294} \][/tex]
Now, divide 235,200 by 294 to find the mass:
[tex]\[ m = 800 \][/tex]
Thus, the mass of the roller coaster is 800 kg. The correct answer from the options given is 800 kg.
We are given:
- Potential Energy (PE) = 235,200 Joules
- Height (h) = 30 meters
- Gravitational acceleration (g) = 9.8 m/s² (which is the approximate value for Earth's gravity)
The formula for potential energy is:
[tex]\[ PE = m \times g \times h \][/tex]
where:
- PE is the potential energy,
- m is the mass,
- g is the gravitational acceleration,
- h is the height.
We need to find the mass (m) of the roller coaster. To do this, we rearrange the formula to solve for mass:
[tex]\[ m = \frac{PE}{g \times h} \][/tex]
Now, plug in the given values:
[tex]\[ m = \frac{235,200}{9.8 \times 30} \][/tex]
Calculate the denominator:
[tex]\[ 9.8 \times 30 = 294 \][/tex]
So the equation becomes:
[tex]\[ m = \frac{235,200}{294} \][/tex]
Now, divide 235,200 by 294 to find the mass:
[tex]\[ m = 800 \][/tex]
Thus, the mass of the roller coaster is 800 kg. The correct answer from the options given is 800 kg.
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Rewritten by : Barada
