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A student throws a stone upward at an angle of

45° above the horizontal. Which statement best

describes the stone at the highest point that it

reaches?


(1) Its acceleration is zero.

(2) Its acceleration is a minimum, but not zero.

(3) Its gravitational potential energy is a

minimum

(4) Its kinetic energy is a minimum


Sagot :

Answer:

(4) Its kinetic energy is a minimum.

Explanation:

Stone experiments a parabolic motion, which is a combination of horizontal motion at constant speed and vertical uniform accelerated motion due to gravity, where effects from air viscosity and Earth's rotation are neglected. Meaning that stone represents a conservative system.

When stone reachest highest point, horizontal velocity remains unchanged and vertical velocity is zero. Acceleration remains constant and different of zero. Hence, gravitational potential energy is a maximum and kinetic energy is a minimum.

Correct answer is: (4) Its kinetic energy is a minimum.

The highest point, that stone reaches its kinetic energy is a minimum. therefore the option 4 is correct.

Projectile motion -The motion of an object, thrown (projected) into the air is known as projectile motion.

(1) Its acceleration is zero-

When an object is at its highest point the acceleration will be equal to the gravitational force (9.8 m/sec squared). If we take air resistance into the account it will be slightly greater than the 9.8 meters per second squared but not equal to zero in any case. Hence, statement 1 is incorrect.

(2) Its acceleration is a minimum, but not zero-

At the highest point, the object will be at the one place where air resistance does not affect the object, and thus acceleration is exactly equal to the acceleration due to gravity and at this position, it will be the maximum. Hence, statement 2 is incorrect.

(3) Its gravitational potential energy is a  minimum-

At the highest point, the object will stop for the moment and have zero velocity. Thus it will have zero kinetic energy. Therefore total energy will have in the form of gravitational potential energy and which is maximum at this point. Hence, statement 3 is incorrect.

(4) Its kinetic energy is a minimum-

At the highest point the object will stop for the moment and have zero velocity. Thus it will have zero kinetic energy. Hence, statement 4 is correct.

At the highest point, that stone reaches its kinetic energy is a minimum. therefore the option 4 is correct.

For more about the projectile motion, follow the link below-

https://brainly.com/question/11049671