Question

A 2kg object is released from rest near the surface of a planet such that its gravitational field is considered to be constant. The mass of the planet is unknown. The object’s speed after falling for 3 s is 75 m/s. Air resistance is considered to be negligible. Calculate the weight of the 2kg object on the planet of unknown mass.

Answer 1

The weight of the 2kg object on the planet of unknown mass is 50 Newton.

Given the following data:

• Mass = 2 kg

• Time = 3 seconds

• Final velocity = 75 m/s.

• Initial velocity = 0 m/s (since the object is released from rest).

To calculate the weight of the 2kg object on the planet of unknown mass:

First of all, we would determine the acceleration of the object by using the first equation of motion:

Mathematically, the first equation of motion is calculated by using the formula;

$V=U+at$

Where:

• V is the final velocity.

• U is the initial velocity.

• a is the acceleration.

• t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

$75=0+a(3)\\\\75=3a\\\\a=\frac{75}{3}$

Acceleration, a = 25 $m/s^2$

Now, can calculate the weight of the 2kg object by using this formula:

$Weight = mass \times acceleration\\\\Weight = 2 \times 25$

Weight = 50 Newton

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