Question Details

The work done in raising a mass of 15 gm from the ground to a table of 1m height is

Options

A

15 J

B

152 J

C

1500 J

D

0.15 J

Correct Answer :

0.15 J

Solution :

To find the work done in raising the mass from the ground to the table, we can use the formula for gravitational potential energy, which is equal to the work done against gravity.

The formula for work done (W) in raising a mass is given by:
W=m·g·h
where:
m is the mass of the object,
g is the acceleration due to gravity,
h is the height to which the object is raised.

First, we need to convert all given values into standard SI units (Systeme International):
• Mass (m) = 15 gm = 15×10-3 kg=0.015 kg
• Height (h) = 1 m
• Acceleration due to gravity (g) is approximately 10 m/s2 (or 9.8 m/s2). Let's use g=10 m/s2 for standard simple calculations.

Now, substitute the values into the work formula:
W=0.015 kg×10 m/s2×1 m
W=0.15 Joules (J)

Therefore, the work done in raising the mass is 0.15 J.

The correct option is 0.15 J.

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