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An object dropped from a height h attain a velocity of 6m/s just before hitting the ground, find the value of h?
The equation to calculate the height h is as follows:
h = (1/2) * g * t^2 + v0 * t
Where g is the gravitational acceleration (9.8 m/s^2), t is the time for the object to fall, and v0 is the initial velocity of the object (0 m/s).
So, we can rearrange the equation to solve for t:
t = (-v0 + sqrt(v0^2 + 2 * g * h)) / g
Substituting in the values given, we get:
t = (-0 + sqrt(0^2 + 2 * 9.8 * h)) / 9.8
t = sqrt(2 * 9.8 * h) / 9.8
Now, we know that the object's final velocity is 6 m/s. So, we can use the equation:
v = v0 + g * t
Where v is the final velocity and v0 is the initial velocity (0 m/s).
Substituting in the values given, we get:
6 = 0 + 9.8 * t
6 = 9.8 * t
t = 6 / 9.8
Now, we can substitute this value of t back into the original equation to solve for h:
h = (1/2) * 9.8 * (6 / 9.8)^2 + 0 * (6/ 9.8)
h = (1/2) * 9.8 * 36 / 96 + 0
h = 18 / 48
h = 0.375 m
What else can I help you with?
How does initial velocity affect the projectile in range?
The initial velocity of a projectile affects its range by determining how far the projectile will travel horizontally before hitting the ground. A higher initial velocity will result in a longer range because the projectile has more speed to overcome air resistance and travel further. Conversely, a lower initial velocity will result in a shorter range as the projectile doesn't travel as far before hitting the ground.
Which has more kinetic energy a ball dropped from a height of 2m or a same ball dropped at 4m which has more kinetic energy just before it hits the ground?
The ball dropped from 4m height has more kinetic energy just before it hits the ground because it has a higher velocity due to falling from a greater height. Kinetic energy is directly proportional to both mass and the square of velocity, so the ball dropped from 4m height will have more kinetic energy than the one dropped from 2m height.
How do initial velocity affect range and height of a projectile?
Increasing the initial velocity of a projectile will increase both its range and height. Higher initial velocity means the projectile will travel further before hitting the ground, resulting in greater range. Additionally, the increased speed helps the projectile reach a higher peak height before it begins to descend back down.
What happens when you increase the horizontal velocity to the maximum in a projectile motion?
Increasing the horizontal velocity to the maximum in a projectile motion will cause the object to travel further horizontally before hitting the ground. This is because the horizontal velocity determines how far the object will travel in the horizontal direction before gravity pulls it down. The vertical motion of the object will remain the same, but the increased horizontal velocity will result in a longer horizontal distance traveled.
A 20 kg objects falls from a height of 30 meters.How many joules of kinetic energy will the object have just before it hits the ground?
The kinetic energy just before hitting the ground can be calculated using the formula KE = 0.5 * mass * velocity^2. Since the object is falling due to gravity, the velocity just before hitting the ground can be calculated using the formula v = √(2 * g * h), where g is the acceleration due to gravity (9.8 m/s^2) and h is the height (30 m). After calculating the velocity, you can use the kinetic energy formula to find the answer.
What happens when you release a ball from a height at rest?
It will fall with increasing velocity due to gravity and reach the peak velocity just before hitting the ground.
How does initial velocity affect the projectile in range?
The initial velocity of a projectile affects its range by determining how far the projectile will travel horizontally before hitting the ground. A higher initial velocity will result in a longer range because the projectile has more speed to overcome air resistance and travel further. Conversely, a lower initial velocity will result in a shorter range as the projectile doesn't travel as far before hitting the ground.
Which has more kinetic energy a ball dropped from a height of 2m or a same ball dropped at 4m which has more kinetic energy just before it hits the ground?
The ball dropped from 4m height has more kinetic energy just before it hits the ground because it has a higher velocity due to falling from a greater height. Kinetic energy is directly proportional to both mass and the square of velocity, so the ball dropped from 4m height will have more kinetic energy than the one dropped from 2m height.
How do initial velocity affect range and height of a projectile?
Increasing the initial velocity of a projectile will increase both its range and height. Higher initial velocity means the projectile will travel further before hitting the ground, resulting in greater range. Additionally, the increased speed helps the projectile reach a higher peak height before it begins to descend back down.
What happens when you increase the horizontal velocity to the maximum in a projectile motion?
Increasing the horizontal velocity to the maximum in a projectile motion will cause the object to travel further horizontally before hitting the ground. This is because the horizontal velocity determines how far the object will travel in the horizontal direction before gravity pulls it down. The vertical motion of the object will remain the same, but the increased horizontal velocity will result in a longer horizontal distance traveled.
A 20 kg objects falls from a height of 30 meters.How many joules of kinetic energy will the object have just before it hits the ground?
The kinetic energy just before hitting the ground can be calculated using the formula KE = 0.5 * mass * velocity^2. Since the object is falling due to gravity, the velocity just before hitting the ground can be calculated using the formula v = √(2 * g * h), where g is the acceleration due to gravity (9.8 m/s^2) and h is the height (30 m). After calculating the velocity, you can use the kinetic energy formula to find the answer.
Have you ever had a shot dropped in your beer before"?
Yes, have you ever had a shot dropped in your beer before?
Why does the book fall on the floor before the paper does if dropped at the same time from the same height?
air resistance is everything, if both were dropped at the same time from the same height in a vacuum, they would accelerate equally, hitting the floor at the same time..acceleration (a) is given by:a = force / mass.force (down) is given by mass (kg) * acceleration due to gravityregardless of the mass, the acceleration in a vacuum would be the same..Once air is introduced however, any motion would be resisted by the air, according to the equation: force (up) = (velocity squared * drag coefficient).so, net force available for acceleration once in motion, at a given velocity = force (down) - force (up).if you assume same drag coefficient for both, at any given velocity, lighter object will have less acceleration, leading to heavier object hitting the floor first.notes:terminal velocity is where force down = force up.for same drag coefficient, more massive object will have greater terminal velocity..guess at drag coefficient for book / paper = 0.005
What is the formula for perfectly elastic collision?
Total momentum before = total momentum afterTotal kinetic energy before = total kinetic energy afterSum of x-components of velocity before = sum of x-components of velocity after.Sum of y-components of velocity before = sum of y-components of velocity after.Sum of z-components of velocity before = sum of z-components of velocity after.
The point at which an object is falling at the fastest it can go is called its velocity?
When objects fall gravity causes them to increase their speed. The speed would continue to increase if there was no atmosphere. But the atmosphere causes friction which prevents the object from continually increasing its speed. At some point in the fall the object reaches what is called its "terminal velocity". This is the maximum speed it reaches when the frictional force prevents it from going any faster. The terminal velocity of falling objects depends on their shape and mass so it is different for different objects. Also some objects take a long time to reach their terminal velocity so they have to be dropped from very high up in order to have time to reach terminal velocity before hitting the ground.
Are the compressions found on the same location in the slinky before and after hitting the wall?
No, the compressions found on the slinky will be different before and after hitting the wall. Before hitting the wall, the compressions will be moving towards the wall. After hitting the wall, the compressions will be reflected back towards the source of the disturbance.
What is the term for hitting the ball before it bounces in a game?
The term for hitting the ball before it bounces in a game is called a "volley."
