हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

Calculate the power of a crane in watts, which lifts a mass of 100 kg to a height of 10 m in 20 s.

Advertisements
Advertisements

प्रश्न

Calculate the power of a crane in watts, which lifts a mass of 100 kg to a height of 10 m in 20s.

टिप्पणी लिखिए
Advertisements

उत्तर

According to the problem, mass = m= 100 kg height = h – 10 m, time interval, t = 20 s. Power is the rate of doing work with respect to time.

We know from the formula that, the power = work done/time = `(Fds  cos θ)/(time)`

F = mgh

mg = 100 × 10 = 1000

h = 10 m

t = 20s

θ = 0, as the force and the displacement, are in the same direction.

Hence power = `(1000 xx 10 cos 0)/20` = 500 watts

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Work, Energy and Power - Exercises [पृष्ठ ४५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 11
अध्याय 6 Work, Energy and Power
Exercises | Q 6.29 | पृष्ठ ४५

संबंधित प्रश्न

A pump on the ground floor of a building can pump up water to fill a tank of volume 30 m3 in 15 min. If the tank is 40 m above the ground, and the efficiency of the pump is 30%, how much electric power is consumed by the pump?


The blades of a windmill sweep out a circle of area A.

  1. If the wind flows at a velocity v perpendicular to the circle, what is the mass of the air passing through it in time t?
  2. What is the kinetic energy of the air?
  3. Assume that the windmill converts 25% of the wind’s energy into electrical energy, and that A = 30 m2, v = 36 km/h and the density of air is 1.2 kg m–3. What is the electrical power produced?

Power P= ............ /time taken.


1 H.P. is equal to


It takes 20 s for a girl A to climb up the stairs while girl B takes 15 s for the same job. Compare the work done .


An electric heater of power 3 kW is used for 10 h. How much energy does it consume? Express your answer in

  1. kWh,
  2. joule.

An electric pump has 2 kW power. How much water will the pump lift every minute to a height of 10 m?


If a 1200 W electric iron is used daily for 30 minutes, how much total electricity is consumed in the month of April?


Choose one or more correct alternatives.

Power is a measure of the ______.

  1. The rapidity with which work is done.
  2. Amount of energy required to perform the work.
  3. The slowness with which work is performed.
  4. Length of time.

Define power.


A ball with a velocity of 5 ms−1 impinges at an angle of 60˚ with the vertical on a smooth horizontal plane. If the coefficient of restitution is 0.5, find the velocity and direction after the impact.


A bullet of mass 20 g strikes a pendulum of mass 5 kg. The centre of mass of the pendulum rises a vertical distance of 10 cm. If the bullet gets embedded into the pendulum, calculate its initial speed.


An engine develops 20 kW power. How much time will it take to lift a mass of 200 kg to a height of 50 m? (g = 10 m/s2)


A man is throwing bricks of mass 2 kg onto a floor from a height of 2 m. Bricks reach the floor at a speed `2sqrt(10)` m/s. Man throws 10 bricks in a minute. If the power of man is W watt then `3/10` W is equal to ______ W.


Calculate the power spent by a crane while lifting a load of mass 2000 kg, at velocity of 1.5 ms-1. (g = 10 ms-2)


Unit of power used in mechanical engineering is ______.


Name the quantity which is measured in kWh.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×