Math

QuestionCalculate the force needed to support a 5 kg5 \mathrm{~kg} object on Earth with 10 m/s210 \mathrm{~m/s}^2 gravity. Options: a. 5 N b. 25 N c. 50 N d. 100 N

Studdy Solution

STEP 1

Assumptions1. The mass of the object is5 kg. The acceleration due to earth's gravity is 10m/sec10 \mathrm{m/sec}^{}
3. The force is calculated using the formula Force = Mass ×\times Acceleration

STEP 2

We need to find the force required to hold up an object. We can do this by multiplying the mass of the object by the acceleration due to gravity.
Force=Mass×AccelerationForce = Mass \times Acceleration

STEP 3

Now, plug in the given values for the mass and acceleration to calculate the force.
Force=5kg×10m/sec2Force =5 \mathrm{kg} \times10 \mathrm{m/sec}^{2}

STEP 4

Calculate the force required to hold up the object.
Force=kg×10m/sec2=50NewtonsForce = \mathrm{kg} \times10 \mathrm{m/sec}^{2} =50 \mathrm{Newtons}The force required to hold up an object with a mass of kg on earth is50 Newtons. Therefore, the correct answer is (c)50 Newtons.

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