Math

QuestionWhat force is required to accelerate a 52 kg52 \mathrm{~kg} mass at 5 m/s25 \mathrm{~m/s^2}?

Studdy Solution

STEP 1

Assumptions1. The mass of the object is52 kg. The acceleration rate is5 m/s²3. We are assuming a frictionless environment, so no other forces are acting on the object4. We are using the Newton's second law of motion, which states that the force acting on an object is equal to its mass times its acceleration ( = ma)

STEP 2

We need to find the force needed to accelerate the mass. We can do this by using Newton's second law of motion.
Force=masstimesaccelerationForce = mass \\times acceleration

STEP 3

Now, plug in the given values for the mass and acceleration to calculate the force.
Force=52kgtimes5m/s²Force =52\, kg \\times5\, m/s²

STEP 4

Calculate the force.
Force=52kgtimesm/s²=260NForce =52\, kg \\times\, m/s² =260\, NThe force needed to accelerate a mass of52 kg at a rate of m/s² is260 Newtons.

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