Answer:
mass = 61.16 kg
Explanation:
given data
distance = 50 m
energy = 500 W = 500 × 60sec = 30000 J/min
to find out
mass
solution
we will apply here energy equation
that is
energy = m×g×h .............1
put here all value m mass here and g = 9.81 and h is distance
energy = m×g×h
30000 = m×9.81×50
mass = 61.16 kg
Answer:
61 kg
Explanation:
Given data
distance (d): 50 m
power (P): 500 W = 500 J/s
mass (m): ?
time (t): 1 min = 60 s
The engine must do some work (w) to lift the coal. The work done in 1 minute is:
P = w / t
w = P . t = 500 J/s × 60 s = 3.0 × 10⁴ J
The work is equal to the force exerted (F) times the distance (d).
w = F × d
F = w / d = 3.0 × 10⁴ J / 50 m = 6.0 × 10² N
The force exerted is equal to the mass lifted (m) times the acceleration. Here, the acceleration to surpass is that of gravity (g = 9.8 m/s²).
F = m × g
m = F / g = 6.0 × 10² N / 9.8 m/s² = 61 kg
