# An object of mass 20 kg is lifted to a height of 5 m in 20 sec. The power required will be: (g=10m/s2)

1. 50 watt
2. 5 watt
3. 500 watt
4. 100 watt

Option 1 : 50 watt
Free
NDA Mathematics Full Mock Test
7.1 K Users
120 Questions 300 Marks 150 Mins

## Detailed Solution

CONCEPT:

Power:

• The rate of doing work is called power.
• SI unit of power is the watt.

$$⇒ P=\frac{W}{t}$$

.Where P = power, W = work done and t = time

CALCULATION:

Given m = 20 kg, h = 5 m, t = 20 sec and g = 10 m/sec2

• We know that the work done in lifting a body of mass m to height h is given as,

⇒  W = mgh    -----(1)

By equation 1,

⇒  W = 20 × 10 × 5 = 1000 J

• So power required,

$$⇒ P=\frac{W}{t}$$

$$⇒ P=\frac{1000}{20}$$

$$⇒ P=50\,watt$$

• Hence, option 1 is correct.

Last updated on May 15, 2024

-> UPSC NDA II 2024 Detailed Notification has been released.

-> A total of 404 vacancies have been announced for NDA II 2024.

-> Interested candidates can apply online till 4th June 2024.

-> The Successful Candidates have been qualified for interview by the Services Selection Board (SSB).

-> A total of 400 vacancies have been announced for NDA I 2024.

-> The selection process for the exam includes a Written Exam and SSB Interview.

-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.

-> Candidates must go through the NDA previous year papers. Attempting the NDA1 mock tests is also essential.
The text contains a mathematical question related to calculating power, along with multiple-choice options and a detailed solution.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# An object of mass 20 kg is lifted to a height of 5 m in 20 sec. The power required will be: (g=10m/s2)

1. 50 watt
2. 5 watt
3. 500 watt
4. 100 watt

Option 1 : 50 watt
Free
NDA Mathematics Full Mock Test
7.1 K Users
120 Questions 300 Marks 150 Mins

## Detailed Solution

CONCEPT:

Power:

• The rate of doing work is called power.
• SI unit of power is the watt.

$$⇒ P=\frac{W}{t}$$

.Where P = power, W = work done and t = time

CALCULATION:

Given m = 20 kg, h = 5 m, t = 20 sec and g = 10 m/sec2

• We know that the work done in lifting a body of mass m to height h is given as,

⇒  W = mgh    -----(1)

By equation 1,

⇒  W = 20 × 10 × 5 = 1000 J

• So power required,

$$⇒ P=\frac{W}{t}$$

$$⇒ P=\frac{1000}{20}$$

$$⇒ P=50\,watt$$

• Hence, option 1 is correct.

Last updated on May 15, 2024

-> UPSC NDA II 2024 Detailed Notification has been released.

-> A total of 404 vacancies have been announced for NDA II 2024.

-> Interested candidates can apply online till 4th June 2024.

-> The Successful Candidates have been qualified for interview by the Services Selection Board (SSB).

-> A total of 400 vacancies have been announced for NDA I 2024.

-> The selection process for the exam includes a Written Exam and SSB Interview.

-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.

-> Candidates must go through the NDA previous year papers. Attempting the NDA1 mock tests is also essential.
user
The text contains a mathematical question related to calculating power, along with multiple-choice options and a detailed solution.

TYPE: SINGLE_QUESTION_WITH_ANSWER