Question

Estimate the power of a crane that applies a force of 4.50kN in pulling a 500kg object through a distance of 150m in 1 minute. Also calculate the acceleration caused by this force.

Answer 1

Answer:

power =11250 watts nd a= 9ms-2

Explanation:

power= f.v

v=d/t

so p= f.d/t

p=4.50*10'3*150/60

p=11250watts

we know tht

F=ma

so a=f/m

a = 4.50*10'3 /500

a= 9 ms-2

Answer 2

Answer ⇒ Power = 11250 W and Acceleration = 9 m/s².

Explanation ⇒ Given conditions,

Force = 4.50 kN = 4500 N.

Mass of the object to be pull = 500 kg.

Velocity of the object = 150/60 = 5/2 = 2.5 m/s.

Using the formula,

  Power = Force × velocity

∴ Power = 4500 × 2.5

∴ Power = 11250 W.

Hence, the power of an Crane is 11250 W.

Now, We know Force = mass × acceleration [By Newton's seconds Law. ]

∴ acceleration = Force/mass

∴ acceleration = 4500/500

∴ acceleration = 9  m/s².

Hence, the acceleration of the object is 9 m/s².

Hope it helps.