Algebra

Suppose that a constant force is applied to an object. Newton's Second Law of Motion states that the acceleration of the object varies inversely with its mass. A constant force acting upon an object with mass 12 kg produces an acceleration of 2m/s^2. The acceleration of another object produced by the same force is 3m/s^2. What is the mass of this object?

1. 👍
2. 👎
3. 👁
1. a = k/m^2 , where k is constant
given: when a=2 m/s^2, m = 12 kg
2 = k/12^2
k = 288

a = 288/m^2
so when a = 3
3 = 288/m^2
3m^2 = 288
m^2 = 96
m= appr 9.8

the mass is appr 9.8 Kg

or , just use a ratio

2/3 = m^2/12^2
3m^2 = 288
etc, same as above

1. 👍
2. 👎
2. Thank you!

1. 👍
2. 👎
3. welcome

1. 👍
2. 👎

Similar Questions

1. SCIENCE

How is a joule defined?(1 point) It is the force needed to make an object with a mass of 1 kilogram accelerate by 1 kilogram per second squared. It is the force needed to make an object with a mass of 1 kilogram travel 1 meter. It

2. Science

What is a newton?(1 point) -a force that changes the motion of an object -a force that pulls objects toward the ground -the unit in which force is measured -a non-contact force

3. Science

FORCES THAT CHANGE MOTION QUICK CHECK 1.What is a newton? ANSWER: The unit in which force is measured 2.A tennis player swings and hits the ball away. How does the force of the tennis racket affect the motion of the ball? ANSWER:

4. Physics

Need serious help!! 1. How can the momentum of a moving object be found? A. By multiplying its mass by its acceleration. B. By dividing its change in distance trabeled by the time it travels. C. By dividing its velocity bu the

1. Science

𝟙.) Which term describes how far an object has traveled from its original location? 🅰🅽🆂🆆🅴🆁: displacement 𝟚.) What would the position-time graph look like for an object that remains still over time?

2. Physics (Conservation of momentum)

1. Which of Newton’s laws of motion states that an object at rest stays at rest and an object in motion stays in motion with the same speed and the same direction unless acted upon by an unbalanced force? A. Newton's Third Law

3. Physics

Newton's first law of motion states that an object in motion will continue to move at constant speed in a straight line. Only an outside force can change the speed or direction. If the object is at rest, it will remain at rest,

4. science

1.A ball bounces on the ground. How do the ball and the ground act on each other? The ball and the ground exert forces on each other with equal magnitude but in opposite directions. The ball exerts a stronger force than the ground

1. Science-Enr. Phys.

A box of books weighing 325 N moves at a constant velocity across the floor when the box is pushed with a force of 425 N exerted downward at an angle of 35.2 degrees below the horizontal. Fink Mu,k between the box and the floor.

2. Science

Hookes law states that the force , F in a spring extended by length x is given by F=-Kx. According to Newton's second law F=ma, where m is the mass and a is the acceleration. Calculate the dimension of the spring constant k.

3. PHYSICS

A 4 kg block is pushed along the ceiling with a constant applied force of 85 N that acts at an angle of 55 degrees with the horizontal. The block accelerates to the right at 6 m/s^2. determine the coefficient of kinetic friction

4. science

According to Newton’s first law, what must be true of a force for it to stop an object in motion? (1 point) o The force acting on the object must be unbalanced. o The force acting on the object must be stronger than other forces