Question

A stone of mass 150g is thrown upwards with a velocity 35m/s. What is the maximum potential energy that can be gained by the stone?​

Answer 1

Answer:

Maximum Potential Energy gained by stone 91.87 Joules.

Explanation:

According to the Question

It is given that

• Initial velocity, u = 35m/s
• Final velocity, v = 0m/s
• Acceleration due to gravity ,g = 10m/s²

we have to calculate the maximum potential energy that can be gained the stone.

Firstly we calculate the height attained by stone .

• v² -u² = 2gh

Substitute the value we get

➻ 0² -35² = 2×(-10)×h

➻ 0 - 1225 = (-20)×h

➻ -1225 = -20×h

➻ 1225 = 20×h

➻ h = 1225/20

➻ h = 61.25 m

Now,

Conversion of Unit

→ 1kg = 1000g

→ 150g = 150/1000 = 0.15 kg

Calculating the Potential Energy

• PE = mgh

Substitute the value we get

➻ PE = 0.15×10×61.25

➻ PE = 1.5×61.25

➻ PE = 91.87 J

• Hence, the maximum potential energy that can be gained by the stone will be 91.87 Joules

Answer 2

Question:

• A stone of mass 150g is thrown upwards with a velocity 35m/s. What is the maximum potential energy that can be gained by the stone?

Answer:

• Maximum potential energy that can be gained by object is 91.875 Joules.

Explanation:

Given that:

• Mass of stone (m) = 150g
• Initial velocity (u) = 35m/s
• Final velocity (v) = 0m/s
• Acceleration due to gravity (g) = 10m/s²

To Find:

• Maximum potential energy that can be gained by the stone?

Solution:

• Firstly let's calculate the height of attained by the stone ::

We know that,

✪ v² - u² = 2gh ✪

According to the question putting all values in formula we get,

➜ (0)² - (35)² = 2 × (-10) × h

➜ -20h = 0 - 1225

➜ -20h = -1225

➜ 20h = 1225

➜ h = 1225/20

➜ h = 61.25m

∴ Height attained by stone is 61.25 m.

• Now, let's convert mass into kg ::

We know that,

✪ 1kg = 1000g ✪

Therefore,

➜ Mass in kg = 150/1000

➜ Mass in kg = 0.15kg

Again we know that,

✪ PE = mgh ✪

According to the question putting all values in formula we get,

➜ PE = 0.15 × 10 × 61.25

➜ PE = 0.15 × 612.5$\:$

➜ PE = 91.875J

∴ Maximum potential energy that can be gained by the stone is 91.875 Joules.

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